Ifigenia - User contributions [en]

Issue:Generalized net model of the development of an Adobe Flash project

2014-02-04T17:46:19Z

Evgeniy Marinov:

Issue:Generalized net model of the development of an Adobe Flash project

2014-02-04T17:43:30Z

Evgeniy Marinov: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title...

Issue:Modelling the assembling of the computer configuration using the apparatus of generalized nets

2014-02-04T17:29:17Z

Evgeniy Marinov: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title...

[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2013 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Generalized net of the process of association rules discovery by Eclat algorithm using weather databases
| shortcut = iwgn-14-39-43
}}
{{issue/author
| author = Veselin Stoyanov
| institution = "Prof. Asen Zlatarov" University
| address = 1 “Prof. Yakimov” Blvd, Burgas–8010, Bulgaria
| email-before-at = veso_1989
| email-after-at = abv.bg
}}
{{issue/author
| author = Eftim Stoyanov
| institution = Prof. Asen Zlatarov” University
| address = 1 “Prof. Yakimov” Blvd, Burgas–8010, Bulgaria
| email-before-at = eftim55
| email-after-at = abv.bg
}}
{{issue/author
| author = Petia Ilieva
| institution = Prof. Asen Zlatarov” University
| address = 1 “Prof. Yakimov” Blvd, Burgas–8010, Bulgaria
| email-before-at = pilieva
| email-after-at = btu.bg
}}
{{issue/data
| conference = 14th [[IWGN]], Burgas, 29-30 November 2013
| issue = [[International Workshop on Generalized Nets/14|Conference proceedings]], pages 39—43
| file = IWGN2013-14-39-43.pdf
| format = PDF
| size = 89
| abstract =
The article analyses the collection of parts and the assembly of computer configuration, as they would be performed in a company. The apparatus of generalized nets is used to describe the processes of the structure of the collection and assembly.

| keywords = Generalized Nets, Modelling, Assembly of personal computers procedure.
| ams = 68Q85.
| references =
# Atanassov, K. [[On Generalized Nets Theory]] “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Atanassov, K. [[Generalized Nets]], World Scientific, Singapore, 1991.
# Gurpur M. Prabhu, Computer architecture tutorial, http://www.cs.iastate.edu/~prabhu/Tutorial/title.html
# Atanassov, K. [[On intuitionistic Fuzzy Sets Theory]], Springer, Berlin, 2012.
# Krawczak, M., S. Sotirov, K. Atanassov, Multilayer Neural Network Modelling by Generalized Nets, Warsaw School of Information Technologies, 2010
# Sotirov, S., K. Atanassov, Generalized Nets in Artificial Intelligence, Vol. 6: Generalized Nets and Neural Networks, Sofia, “Prof. M. Drinov” Academic Publishing House, Sofia, 2012.
# Shannon, A., E. Sotirova, I. Petrounias, K. Atanassov, M. Krawczak, P. Melo-Pinto, T. Kim, Generalized net model of lecturers’ evaluation of student work with intuitionistic fuzzy estimations, Notes on Intuitionistic Fuzzy Sets, Vol. 12, 2006, No. 4, 22–28.
# Shannon, A., E. Sotirova, K. Atanassov, M. Krawczak, P. Melo-Pinto, T. Kim, Generalized Net Model for the Reliability and Standardization of Assessments of Student Problеm Solving with Intuitionistic Fuzzy Estimations. Developments in Fuzzy Sets, Generalized Nets and Related Topics. Applications. Vol. 2: Applications, System Research Institute, Polish Academy of Science, 2008, 249–256
| citations =
| see-also =
}}

Issue:Generalized net model of telecare based on body temperature sensors

2014-02-04T16:28:43Z

Evgeniy Marinov: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title...

[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2013 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Generalized net model of telemedicine based on body temperature sensors
| shortcut = iwgn-13-78-89
}}
{{issue/author
| author = Velin Andonov
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = velin_andonov
| email-after-at = yahoo.com
}}
{{issue/author
| author = Diana Stephanova
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = dsteph
| email-after-at = bio.bas.bg
}}
{{issue/author
| author = Maria Esenturk
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = mardas
| email-after-at = bio.bas.bg
}}
{{issue/author
| author = Maia Angelova
| institution = Northumbria University
| address = Newcastle, United Kingdom
| email-before-at = maia.angelova
| email-after-at = northumbria.ac.uk
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| conference = 14th [[IWGN]], Burgas, 29-30 November 2013
| issue = [[International Workshop on Generalized Nets/14|Conference proceedings]], pages 78-89
| file = IWGN2013-14-78-89.pdf
| format = PDF
| size = 173
| abstract =
Generalized net (GN) model of telemedicine/telehealth based on body temperature sensors is proposed. In a previous paper, GN that describes the connection between sensors and remote server was proposed. In the present model, the focus is on the process of decision making in the telemedicine/telehealth center.
| keywords = Generalized net, telemedicine, Telehealth, Body temperature sensor.
| ams = 68Q85.
| references =
# Andonov V., K. Atanassov. Generalized nets with characteristics of the places, Compt. rend. Acad. bulg. Sci., 66, 2013, No 12, 1673-1680.
# Asahina M., DA. Low, CJ. Mathias, Y. Fujinuma, A. Katagiri, Y. Yamanaka, J. Shimada, A. Poudel, S. Kuwabara. Skin temperature of the hand in multiple system atrophy and Parkinson’s disease. Parkinsonism and Related Disorders 19, 2013, 560-562.
# Atanassov, K. [[On Generalized Nets Theory]], “Prof. M. Drinov” Academic Publishing House, Sofia, 2007
# Atanassov K. On Generalized Nets Theory. Prof. M. Drinov Academic Publ. House, Sofia, 2007
# Atanassov K., [[On Intuitionistic Fuzzy Sets Theory]], Springer, Berlin, 2012.
# Bolton CF., K. Carter, JJ. Koval. Temperature effects on conduction studies of normal and abnormal nerve. Muscle Nerve 5, 1982, 145-147.
# Bolton CF., Sawa GM., Carter K. The effect of temperature on human compound action potentials. J Neurol Neurosurg Psychiatry 44, 1981, 407-413.
# Bostock H., M. Baker.Evidence for two types of potassium channel in human motor axons in vivo. Brain Res. 462, 1988, 354-358.
# Bostock H., K. Cikurel, D. Burke. Threshold tracking techniques in the study the human peripheral nerve. Muscle Nerve 21, 1998, 137-158.
# Bostock H., M.K. Sharief, G. Reid, N.M.F. Murray. Axonal ion channel dysfunction in amyotrophic lateral sclerosis. Brain 118, 1995, 217-225.
# Buchthal F., A. Rosenfalck. Evoked action potentials and conduction velocity in human sensory nerves. Brain Res 1, 1966, 1-122.
# Cappelen-Smith C., S. Kuwabara, CS-Y. Lin, I. Mogyoros, D. Burke. Membrane properties in chronic inflammatory demyelinating polyneuropathy. Brain 124, 2001, 2439-2447.
# Daskalova M., S. Krustev, D. Stephanova. Temperature effects on simulated human nodal action potentials and their defining current kinetics. Scripta Scientifica Medica 45(3), 2013, 42-47.
# Daskalova M., D.I Stephanova. Strength-duration properties of human myelinated motor and sensory axons in normal case and in amyotrophic lateral Sclerosis. Acta Physiol. Pharmacol. Bulg. 26, 2001, 1-4.
# De Jesus PV., I. Hausmanowa-Petrusewicz, RI. Barchi. The effect of cold on nerve conduction of human slow and fast nerve fibres. Neurology 23, 1973, 1182-11829.
# Dioszeghy P., E. St̊alberg. Changes in motor and sensory nerve conduction parameters with temperature in normal and diseased nerve. Electroencephalogr Clin Neurophysiol 85, 1992, 229-235.
# Geerlings AHC., K. Mechelse. Temperature and nerve conduction velocity, some practical problems. Electromyogr Clin Neurophysiol 25, 1985, 253-260.
# Howells J., Czesnik D., Trevillion L., Burke D. 2013. Excitability and the safety margin in human axons during hyperthermia. J Physiol 591:3063-3080.
# Johnson EW., KJ. Olsen. Clinical value of motor nerve conduction velocity determination. JAMA 172, 1960, 2030-2035.
# Kaji R. Physiology of conduction block in multifocal motor neuropathy and other demyelinating neuropathies. Muscle Nerve 27, 2003, 285-296.
# Kiernan M.C., D. Burke, K.V. Andersen, H. Bostock. Multiple measures of axonal excitability: a new approach in clinical testing. Muscle Nerve 23, 2000, 399-409.
# Kiernan MC., K. Cikurel, H. Bostock. Effects of temperature on the excitability properties of human motor axons. Brain 124, 2001, 816-825.
# Krustev S., M. Daskalova, D. Stephanova. Myelin sheath aqueous layers do not modulate membrane fibre properties of simulated cases of paranodal internodal systematic demyelinations. Compt. rend. Acad. bulg. Sci. 63(12), 2010, 1845-1852.
# Krustev M., M. Daskalova, D. Stephanova. Temperature effects on simulated human internodal action potentials and their defining current kinetics. Scripta Scientifica Medica 45(4), 2013, 36-40.
# Krustev S.M., N. Negrev, D.I. Stephanova. The strength-duration properties in simulated demyelinating neuropathies depend on the myelin sheath aqueous layers. Scripta Scientifica Medica 44(1), 2012, 117-123.
# Kuwabara S., K. Ogawara, J.Y. Sung, M. Mori, K. Kanai, T. Hattori, N. Yuki, C.S. Lin, D. Burke, H. Bostock. Differences in membrane properties of axonal and demyelinating Guillain-Barre syndromes. Ann. Neurol. 52, 2002, 180-187.
# Lang AH., A. Puusa. Dual influence of temperature on compound nerve action potential. J Neurol Sci 51, 1981, 81-88.
# Lowitzsch K., HC. Hopf, J. Galland. Changes of sensory conduction velocity and refractory periods with decreasing tissue temperature in man. J Neurol 216, 1977, 181-188.
# Nodera H., H. Bostock, S. Kuwabara, T. Sakamoto, K. Asanuma, J.Y. Sung, K. Ogawara, N. Hattori, M. Hirayama, G. Sobue, R. Kaji. Nerve excitability properties in Charcot-Marie-Tooth disease type 1A. Brain 127, 2004, 203-211.
# Nodera H., R. Kaji. Nerve excitability testing and its clinical application to neuromuscular diseases. Clin. Neuphysiol. 117, 2006, 1902-1916.
# Priori A., B. Bossi, G. Ardolino, L. Bertolasi, M. Carpo, E. Nobile-Orazio, S.Barbieri. Pathophysiological heterogeneity of conduction blocks in multifocal motor neuropathy. Brain 128, 2005, 1642-1648.
# Stephanova D.I. Myelin as longitudinal conductor: a multi-layered model of the myelinated human motor nerve fibre. Biol. Cybern. 84, 2001, 301-308
# Stephanova D.I., A.S. Alexandrov. Simulating mild systematic and focal demyelinating neuropathies: membrane property abnormalities. J. Integr. Neurosci. 5, 2006, 595-623.
# Stephanova D.I., H. Bostock. A distributed-parameter model of the myelinated human motor nerve fibre: temporal and spatial distributions of action potentials and ionic currents. Biol. Cybern. 73, 1995, 275-280.
# Stephanova D.I., H. Bostock. A distributed-parameter model of myelinated human motor nerve fibre: temporal and spatial distributions of electrotonic potentials and ionic currents. Biol. Cybern. 74, 1996, 543-547.
# Stephanova D.I., M. Daskalova. Extracellular potentials of human motor myelinated nerve fibres in normal case and in amyotrophic lateral sclerosis. Electromyogr. Clin. Neurophysiol. 42, 2002, 443-448.
# Stephanova D.I., M. Daskalova.. Differences in potentials and excitability properties in simulated cases of demyelinating neuropathies. Part II. Paranodal demyelination. Clin. Neuro-physiol. 116, 2005a, 1159-1166.
# Stephanova D.I., M. Daskalova. Differences in potentials and excitability properties in simulated cases of demyelinating neuropathies. Part III. Paranodal internodal demyelination. Clin. Neurophysiol. 116, 2005b, 2334-2341.
# Stephanova D.I., M. Daskalova. Membrane property abnormalities in simulated cases of mild systematic and severe focal demyelinating neuropathies. Eur. Biophys. J. 37, 2008, 183-195.
# Stephanova D.I., M. Daskalova. Effects of temperature on simulated electrotonic potentials and their current kinetics of human motor axons at 20-42 C. Clin. Neurophysiol, 2014. (in press)
# Stephanova DI., B. Dimitrov. Models and methods for investigation of the human motor nerve fibre. In: Stephanova DI, Dimitrov B, editors. Computational Neuroscience: Simulated Demyelinating Neuropathies and Neuronopathies. Boca Raton (USA), CRC Press, Taylor and Francis Group, 2013, 18-32.
# Stephanova D.I., M. Daskalova, A.S. Alexandrov. Differences in potentials and excitability properties in simulated cases of demyelinating neuropathies. Part I. Clin. Neurophysiol. 116, 2005, 1153-1158.
# Stephanova D.I., M. Daskalova, A.S. Alexandrov. Differences in membrane properties in simulated cases of demyelinating neuropathies. Internodal focal demyelination without conduction block. Journal of Biological Physics 32, 2006, 61-71.
# Stephanova D.I., M. Daskalova, A.S. Alexandrov. Differences in membrane properties in simulated cases of demyelinating neuropathies. Internodal focal demyelination with conduction block. Journal of Biological Physics 32, 2006b, 129-144.
# Stephanova D.I., M. Daskalova, A.S. Alexandrov. Channels, currents and mechanisms of accommodative processes in simulated cases of systematic demyelinating neuropathies. Brain Research 1171, 2007b, 138-151.
# Stephanova D.I., S.M. Krustev, M. Daskalova. The aqueous layers within the myelin sheath modulate the membrane properties of simulated hereditary demyelinating neuropathies, J. Integr. Neurosci., 10(1), 2011a, 89-103.
# Stephanova D.I., S.M. Krustev, N. Negrev, M. Daskalova. The myelin sheath aqueous layers improve the membrane properties of simulated chronic demyelinating neuropathies, J. Integr. Neurosci. 10(1), 2011b, 105-120.
# Stephanova D.I., N. Trayanova, A. Gydikov, A. Kossev. Extracellular potentials of a single myelinated nerve fiber in an unbounded volume conductor. Biol. Cybern. 61, 1989, 205-210.
# Sung J.Y., S. Kuwabara, R. Kaji, K. Ogawara, M. Mori, K. Kanai, H. Nodera, T. Hattori, H. Bostock. Threshold electrotonus in chronic inflammatory demyelinating polyneuropathy: correlation with clinical profiles. Muscle Nerve 29, 2004, 28-37.
| citations =
| see-also =
}}

Issue:Modelling the executive compensation design model using a generalized net

2014-02-04T15:39:47Z

Evgeniy Marinov: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title...

Issue:A GN model for on-line signature verification

2014-02-04T15:15:23Z

Evgeniy Marinov:

[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2013 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = A GN model for on-line signature verification
| shortcut = iwgn-13-65—70
}}
{{issue/author
| author = Desislava Boyadzhieva
| institution = Institute of Information and Communication Technologies, Bulgarian Academy of Sciences
| address = 2 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = d.n.dimitrova
| email-after-at = gmail.com
}}
{{issue/author
| author = Georgi Gluhchev
| institution = Institute of Information and Communication Technologies, Bulgarian Academy of Sciences
| address = 2 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = gluhchev
| email-after-at = iinf.bas.bg
}}
{{issue/data
| conference = 14th [[IWGN]], Burgas, 29-30 November 2013
| issue = [[International Workshop on Generalized Nets/13|Conference proceedings]], pages 65-70
| file = IWGN2013-14-65-70.pdf
| format = PDF
| size = 158
| abstract =
In this paper, a generalized net model for a combined method for on-line signature verification is proposed. The model describes all the necessary steps in developing a signature recognition system: signature data pre-processing, feature extraction and selection, verification and system evaluation.
| keywords = Generalized nets, On-line signature verification, Neural networks.
| ams = 68Q85, 62H30.
| references =
# Nalwa, V.S., I. Ekeland, Automatic on-line signature verification. Proceedings of the IEEE 85, 1997, 213–239.
# Atanassov, K. Generalized Nets in Artifficial Intelligence. Vol. 1: Generalized nets and Expert Systems. “Prof. M. Drinov” Academic Publishing House, Sofia, 1998.
# Jain, A., Stan Li. Encyclopedia of Biometrics, Springer, 2009.
# Atanassov, K. Generalized Nets. World Scientific, Singapore, 1991.
# Hocking, R. R., R. Leslie. Selection of the Best Subset in Regression Analysis. Techno-metrics, Vol. 9, 1967, 531–540.
# LaMotte, L. R., R. R. Hocking. Computational Efficiency in the Selection of Regression Variables. Technometrics, Vol. 12, 1970, 83–93.
# Atanassov, K., G. Gluhchev, S. Hadjitodorov, J. Kacprzyk, A. Shannon, E. Szmidt, V. Vassilev. Generalized Nets Decision Making and Pattern Recognition. EXIT Publishing House, Warsaw School of Information Technology, Warszawa, 2006.
# Gluhchev, G., M. Savov, O. Boumbarov, D. Vassileva. A New Approach to Signature Based Authentication”, Proc. of 2nd Int. Conf. on Biometrics , Seoul, 26–29 August, 2007, 594–603.
# Savov, M., G. Gluhchev. Signature verification via Hand-Pen motion investigation. Proc. Int. Conf. “Recent Advances in Soft Computing”, Canterbury, 2006, 490–495.
# Atanassov, K., G. Gluhchev, S. Hadjitodorov, A. Shannon, V. Vassilev, Generalized Nets and Pattern Recognition. KvB Visual Concepts Pty Ltd, Monograph No. 6, Sydney, 2003.
# Leclerc, F., R. Plamondon. Automatic signature verification: The state of the art 1989–1993. International Journal of Pattern Recognition and Artificial Intelligence, Vol. 8, 1994, No. 3, 643–660.
# McCabe, A., J. Trevathan, W. Read. Neural network-based handwritten signature verification. Journal of Computers, Vol. 3, 2008, No. 8, 9–22.
| citations =
| see-also =
}}

Issue:A GN model for on-line signature verification

2014-02-04T15:12:33Z

Evgeniy Marinov: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title...

[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2013 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = A GN model for on-line signature verification
| shortcut = iwgn-13-65—70
}}
{{issue/author
| author = Desislava Boyadzhieva
| institution = Institute of Information and Communication Technologies, Bulgarian Academy of Sciences
| address = 2 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = d.n.dimitrova
| email-after-at = gmail.com
}}
{{issue/author
| author = Georgi Gluhchev
| institution = Institute of Information and Communication Technologies, Bulgarian Academy of Sciences
| address = 2 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = gluhchev
| email-after-at = iinf.bas.bg
}}{{issue/data
| conference = 14th [[IWGN]], Burgas, 29-30 November 2013
| issue = [[International Workshop on Generalized Nets/13|Conference proceedings]], pages 65-70
| file = IWGN2013-14-65-70.pdf
| format = PDF
| size = 158
| abstract =
In this paper, a generalized net model for a combined method for on-line signature verification is proposed. The model describes all the necessary steps in developing a signature recognition system: signature data pre-processing, feature extraction and selection, verification and system evaluation.
| keywords = Generalized nets, On-line signature verification, Neural networks.
| ams = 68Q85, 62H30.
| references =
# Nalwa, V.S., I. Ekeland, Automatic on-line signature verification. Proceedings of the IEEE 85, 1997, 213–239.
# Atanassov, K. Generalized Nets in Artifficial Intelligence. Vol. 1: Generalized nets and Expert Systems. “Prof. M. Drinov” Academic Publishing House, Sofia, 1998.
# Jain, A., Stan Li. Encyclopedia of Biometrics, Springer, 2009.
# Atanassov, K. Generalized Nets. World Scientific, Singapore, 1991.
# Hocking, R. R., R. Leslie. Selection of the Best Subset in Regression Analysis. Techno-metrics, Vol. 9, 1967, 531–540.
# LaMotte, L. R., R. R. Hocking. Computational Efficiency in the Selection of Regression Variables. Technometrics, Vol. 12, 1970, 83–93.
# Atanassov, K., G. Gluhchev, S. Hadjitodorov, J. Kacprzyk, A. Shannon, E. Szmidt, V. Vassilev. Generalized Nets Decision Making and Pattern Recognition. EXIT Publishing House, Warsaw School of Information Technology, Warszawa, 2006.
# Gluhchev, G., M. Savov, O. Boumbarov, D. Vassileva. A New Approach to Signature Based Authentication”, Proc. of 2nd Int. Conf. on Biometrics , Seoul, 26–29 August, 2007, 594–603.
# Savov, M., G. Gluhchev. Signature verification via Hand-Pen motion investigation. Proc. Int. Conf. “Recent Advances in Soft Computing”, Canterbury, 2006, 490–495.
# Atanassov, K., G. Gluhchev, S. Hadjitodorov, A. Shannon, V. Vassilev, Generalized Nets and Pattern Recognition. KvB Visual Concepts Pty Ltd, Monograph No. 6, Sydney, 2003.
# Leclerc, F., R. Plamondon. Automatic signature verification: The state of the art 1989–1993. International Journal of Pattern Recognition and Artificial Intelligence, Vol. 8, 1994, No. 3, 643–660.
# McCabe, A., J. Trevathan, W. Read. Neural network-based handwritten signature verification. Journal of Computers, Vol. 3, 2008, No. 8, 9–22.
| citations =
| see-also =
}}

Issue:Possible applications of generalized nets with characteristics of the places. A medical example

2014-02-04T14:31:57Z

Evgeniy Marinov:

[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2013 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Possible applications of generalized nets with characteristics of the places. A medical example.
| shortcut = iwgn-13-56—64
}}
{{issue/author
| author = Simeon Ribagin
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = sim_ribagin
| email-after-at = mail.bg
}}
{{issue/author
| author = Velin Andonov
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = velin_andonov
| email-after-at = yahoo.com
}}
{{issue/author
| author = Vihren Chakarov
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = vihren
| email-after-at = biomed.bas.bg
}}
{{issue/data
| conference = 14th [[IWGN]], Burgas, 56-64 November 2013
| issue = [[International Workshop on Generalized Nets/13|Conference proceedings]], pages 56-64
| file = IWGN2013-14-56-64.pdf
| format = PDF
| size = 177
| abstract = Generalized Nets with Characteristics of the Places(GNCP) is a new conservative extension of the ordinary Generalized Nets(GNs). In a GNCP the places receive characteristics and keep information about the modelled process. This property of GNCP can be used to construct nets with simpler graphic structure or to collect data which is relevant to the place.
| keywords = Generalized net, Generalized net with characteristics of the places, Extensions of generalized nets.
| ams = 68Q85.
| references =
# Andonov, V., K. Atanassov. Generalized nets with characteristics of the places, Compt. rend. Acad. bulg. Sci., Vol. 66, 2013, No. 12, 1673–1680.
# Atanassov, K. [[Generalized Nets]], World Scientific. Singapore, 1991.
# Atanassov, K., [[On Generalized Nets Theory]], “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Andonov, V. Connection between Generalized nets with characteristics of the places and Intuitionistic fuzzy generalized nets of type 1 and type 2, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 2, 77–88.
# Andonov, V. Intuitionistic fuzzy generalized nets with characteristics of the places of type 1 and type 3, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 99–110.
# Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
# Atanassov, K. On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
# Ribagin, S., V. Chakarov, K. Atanassov. Generalized net model of the upper limb vascular system. Proc. of IEEE 6th Conference on Intelligent Systems, 6-8 September 2012, Sofia, Vol. 2, 229–233.
| citations =
| see-also =
}}

Issue:Possible applications of generalized nets with characteristics of the places. A medical example

2014-02-04T14:30:00Z

Evgeniy Marinov: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title...

[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2013 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Possible applications of generalized nets with characteristics of the places. A medical example.
| shortcut = iwgn-13-56—64
}}
{{issue/author
| author = Nikolay Novachev
| institution = Lukoil Neftochim Burgas
| address = Burgas–8104, Bulgaria
| email-before-at = Novachev.Nikolay
| email-after-at = neftochim.bg
}}
{{issue/author
| author = Simeon Ribagin
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = sim_ribagin
| email-after-at = mail.bg
}}
{{issue/author
| author = Velin Andonov
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = velin_andonov
| email-after-at = yahoo.com
}}
{{issue/author
| author = Vihren Chakarov
| institution = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., 1113 Sofia, Bulgaria,
| email-before-at = vihren
| email-after-at = biomed.bas.bg
}}
{{issue/data
| conference = 14th [[IWGN]], Burgas, 56-64 November 2013
| issue = [[International Workshop on Generalized Nets/13|Conference proceedings]], pages 56-64
| file = IWGN2013-14-56-64.pdf
| format = PDF
| size = 177
| abstract = Generalized Nets with Characteristics of the Places(GNCP) is a new conservative extension of the ordinary Generalized Nets(GNs). In a GNCP the places receive characteristics and keep information about the modelled process. This property of GNCP can be used to construct nets with simpler graphic structure or to collect data which is relevant to the place.
| keywords = Generalized net, Generalized net with characteristics of the places, Extensions of generalized nets.
| ams = 68Q85.
| references =
# Andonov, V., K. Atanassov. Generalized nets with characteristics of the places, Compt. rend. Acad. bulg. Sci., Vol. 66, 2013, No. 12, 1673–1680.
# Atanassov, K. [[Generalized Nets]], World Scientific. Singapore, 1991.
# Atanassov, K., [[On Generalized Nets Theory]], “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Andonov, V. Connection between Generalized nets with characteristics of the places and Intuitionistic fuzzy generalized nets of type 1 and type 2, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 2, 77–88.
# Andonov, V. Intuitionistic fuzzy generalized nets with characteristics of the places of type 1 and type 3, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 99–110.
# Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
# Atanassov, K. On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
# Ribagin, S., V. Chakarov, K. Atanassov. Generalized net model of the upper limb vascular system. Proc. of IEEE 6th Conference on Intelligent Systems, 6-8 September 2012, Sofia, Vol. 2, 229–233.
| citations =
| see-also =
}}

Issue:Generalized net model of waste electrical and electronic management process in refinery sector

2014-02-04T14:29:39Z

Evgeniy Marinov:

Issue:Generalized net model of waste electrical and electronic management process in refinery sector

2014-02-04T12:30:16Z

Evgeniy Marinov:

[[Category:Publications on generalized nets in data mining|{{PAGENAME}}]]
[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2012 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Generalized net model of waste electrical and electronic management process in refinery sector
| shortcut = iwgn-13-49-55
}}
{{issue/author
| author = Nikolay Novachev
| institution = Lukoil Neftochim Burgas
| address = Burgas–8104, Bulgaria
| email-before-at = Novachev.Nikolay
| email-after-at = neftochim.bg
}}
{{issue/author
| author = Peter Bachvarov
| institution = Lukoil Neftochim Burgas
| address = Burgas–8104, Bulgaria
| email-before-at = Bachvarov.Petar
| email-after-at = neftochim.bg
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Prof. Asen Zlatarov” University
| address = 1 “Prof. Yakimov” Blvd, Burgas–8010, Bulgaria
| institution-2 = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., Sofia–1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| conference = 14th [[IWGN]], Burgas, 29-30 November 2013
| issue = [[International Workshop on Generalized Nets/13|Conference proceedings]], pages 49—55
| file = IWGN2013-14-49-55.pdf
| format = PDF
| size = 149
| abstract = A generalized net model waste electrical and electronic equipment management pro-
cess in refinery sector is constructed and its application is discussed.
| keywords = Generalized nets, Refinery, Waste management.
| ams = 68Q85.
| references =
#Guide for reduction and disposal of waste from oilrefineries and marketing installations. CONCAWE report, 2003.
#Alexieva, J., E. Choy, E. Koycheva. Review and bibloigraphy on generalized nets theory and applications. In: A Survey of Generalized Nets (E. Choy, M. Krawczak, A. Shannon and E. Szmidt, Eds.), Raffles KvB Monograph No. 10, 2007, 207-301.
# Atanassov, K. [[Generalized Nets]], World Scientific. Singapore, 1991.
# Atanassov, K., [[On Generalized Nets Theory]], “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
# Bulgarian Environmental Ministry Database on Waste. Available at: http://www.moew.government.bg/?show=top\&cid=7.
# Directive 2012/19/EU of the European Parliament and of the Council of 4 July 2012 on Waste Electrical and Electronic Equipment(WEEE).
# Directive 2008/98/EC of the European Parliament and of the Council of 19 November 2008 on Waste Electrical and Electronic Equipment(WEEE).
#Lonza, L. et al (2010) EU renewable energy targets in 2020: Analysis of scenarios for transport, JEC Biofuels Programme, EC JRC-IE, EUR 24770 EN, Ispra.
# Mohamed A. Fahim, Taher A. Alsahhaf and Amal Elkilani. Fundamentals of petroleum refining. Evsevier Inc., 2010.
# Oil refining in the EU in 2020, with perspectives to 2030, CONCAWE special report, 2013
| citations =
| see-also =
}}

Issue:Generalized net model of waste electrical and electronic management process in refinery sector

2014-02-04T12:28:16Z

Evgeniy Marinov:

[[Category:Publications on generalized nets in data mining|{{PAGENAME}}]]
[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2012 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Generalized net model of waste electrical and electronic management process in refinery sector
| shortcut = iwgn-13-1-7
}}
{{issue/author
| author = Nikolay Novachev
| institution = Lukoil Neftochim Burgas
| address = Burgas–8104, Bulgaria
| email-before-at = Novachev.Nikolay
| email-after-at = neftochim.bg
}}
{{issue/author
| author = Peter Bachvarov
| institution = Lukoil Neftochim Burgas
| address = Burgas–8104, Bulgaria
| email-before-at = Bachvarov.Petar
| email-after-at = neftochim.bg
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Prof. Asen Zlatarov” University
| address = 1 “Prof. Yakimov” Blvd, Burgas–8010, Bulgaria
| institution-2 = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., Sofia–1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| conference = 14th [[IWGN]], Burgas, 29-30 November 2013
| issue = [[International Workshop on Generalized Nets/13|Conference proceedings]], pages 49—55
| file = IWGN2013-14-49-55.pdf
| format = PDF
| size = 149
| abstract = A generalized net model waste electrical and electronic equipment management pro-
cess in refinery sector is constructed and its application is discussed.
| keywords = Generalized nets, Refinery, Waste management.
| ams = 68Q85.
| references =
#Guide for reduction and disposal of waste from oilrefineries and marketing installations. CONCAWE report, 2003.
#Alexieva, J., E. Choy, E. Koycheva. Review and bibloigraphy on generalized nets theory and applications. In: A Survey of Generalized Nets (E. Choy, M. Krawczak, A. Shannon and E. Szmidt, Eds.), Raffles KvB Monograph No. 10, 2007, 207-301.
# Atanassov, K. [[Generalized Nets]], World Scientific. Singapore, 1991.
# Atanassov, K., [[On Generalized Nets Theory]], “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
# Bulgarian Environmental Ministry Database on Waste. Available at: http://www.moew.government.bg/?show=top\&cid=7.
# Directive 2012/19/EU of the European Parliament and of the Council of 4 July 2012 on Waste Electrical and Electronic Equipment(WEEE).
# Directive 2008/98/EC of the European Parliament and of the Council of 19 November 2008 on Waste Electrical and Electronic Equipment(WEEE).
#Lonza, L. et al (2010) EU renewable energy targets in 2020: Analysis of scenarios for transport, JEC Biofuels Programme, EC JRC-IE, EUR 24770 EN, Ispra.
# Mohamed A. Fahim, Taher A. Alsahhaf and Amal Elkilani. Fundamentals of petroleum refining. Evsevier Inc., 2010.
# Oil refining in the EU in 2020, with perspectives to 2030, CONCAWE special report, 2013
| citations =
| see-also =
}}

Issue:Generalized net model of waste electrical and electronic management process in refinery sector

2014-02-04T12:09:26Z

Evgeniy Marinov: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} [[C...

[[Category:Publications on generalized nets in data mining|{{PAGENAME}}]]
[[Category:Publications on generalized nets|{{PAGENAME}}]]
[[Category:Publications in 2012 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Generalized net model of waste electrical and electronic management process in refinery sector
| shortcut = iwgn-13-1-7
}}
{{issue/author
| author = Nikolay Novachev
| institution = Lukoil Neftochim Burgas
| address = Burgas–8104, Bulgaria
| email-before-at = Novachev.Nikolay
| email-after-at = neftochim.bg
}}
{{issue/author
| author = Peter Bachvarov
| institution = Lukoil Neftochim Burgas
| address = Burgas–8104, Bulgaria
| email-before-at = Bachvarov.Petar
| email-after-at = neftochim.bg
}}
{{issue/author
| author = Krassimir Atanassov
| institution = Prof. Asen Zlatarov” University
| address = 1 “Prof. Yakimov” Blvd, Burgas–8010, Bulgaria
| institution-2 = Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
| address = 105 “Acad. G. Bonchev” Str., Sofia–1113, Bulgaria
| email-before-at = krat
| email-after-at = bas.bg
}}
{{issue/data
| conference = 13th [[IWGN]], Burgas, 30 November 2013
| issue = [[International Workshop on Generalized Nets/13|Conference proceedings]], pages 1—10
| file = IWGN2013-14-49-55.pdf
| format = PDF
| size = 158
| abstract = A generalized net model waste electrical and electronic equipment management pro-
cess in refinery sector is constructed and its application is discussed.
| keywords = Generalized nets, Refinery, Waste management.
| ams = 68Q85.
| references =

#Guide for reduction and disposal of waste from oilrefineries and marketing installations. CONCAWE report, 2003.
#Alexieva, J., E. Choy, E. Koycheva. Review and bibloigraphy on generalized nets theory and applications. In: A Survey of Generalized Nets (E. Choy, M. Krawczak, A. Shannon and E. Szmidt, Eds.), Raffles KvB Monograph No. 10, 2007, 207-301.
# Atanassov, K. [[Generalized Nets]], World Scientific. Singapore, 1991.
# Atanassov, K., [[On Generalized Nets Theory]], “Prof. M. Drinov” Academic Publishing House, Sofia, 2007.
# Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
# Bulgarian Environmental Ministry Database on Waste. Available at: http://www.moew.government.bg/?show=top\&cid=7.
# Directive 2012/19/EU of the European Parliament and of the Council of 4 July 2012 on Waste Electrical and Electronic Equipment(WEEE).
# Directive 2008/98/EC of the European Parliament and of the Council of 19 November 2008 on Waste Electrical and Electronic Equipment(WEEE).
#Lonza, L. et al (2010) EU renewable energy targets in 2020: Analysis of scenarios for transport, JEC Biofuels Programme, EC JRC-IE, EUR 24770 EN, Ispra.
# Mohamed A. Fahim, Taher A. Alsahhaf and Amal Elkilani. Fundamentals of petroleum refining. Evsevier Inc., 2010.
# Oil refining in the EU in 2020, with perspectives to 2030, CONCAWE special report, 2013
| citations =
| see-also =
}}

User:Evgeniy Marinov/Test

2013-04-16T09:45:25Z

Evgeniy Marinov: New page: '''Integral representation of intuitionistic fuzzy sets'''<ref name="em2012">Marinov, E. .. Springer</ref> fdlgjkdjfgk.dmfgk.dm.fgm,d/f <ref name="em2012" /> <math> \int\limits_{...

'''Integral representation of [[IFS|intuitionistic fuzzy sets]]'''<ref name="em2012">Marinov, E. .. Springer</ref>
fdlgjkdjfgk.dmfgk.dm.fgm,d/f <ref name="em2012" />

<math> \int\limits_{0}^{1}\alpha A_{\mu}(\alpha) dx </math>

dsgsdflksjdf.sdfms<ref name="em2013" group="com">dflgvdsfjglkg</ref>

<source lang="">
http://www.mediawiki.org/wiki/Extension:SyntaxHighlight_GeSHi#Supported_languages
</source>

http://www.mediawiki.org/wiki/Extension:SyntaxHighlight_GeSHi#Supported_languages

== References ==
<references />

== Comments ==
<references group="com">

Subtractions over intuitionistic fuzzy sets

2013-04-16T09:29:06Z

Evgeniy Marinov: /* Alternative separated view */

== List of intuitionistic fuzzy subtractions of —i′ type ==

{|
|-valign="middle"
| rowspan="2" | sg(x) = {
| 1 || if x > 0
|-
| 0 || if x ≤ 0
|}

{|
|-valign="middle"
| rowspan="2" | {{overline|sg}}(x) = {
| 1 || if x < 0
|-
| 0 || if x ≥ 0
|}

{| width="100%" class="wikitable sortable" style="font-family:Courier; font-size:120%;"
|- valign="top"
! width="5%" | No.
! width="5%" | Ref.
! width="5%" | Year
! width="85%" | Subtraction 

|- valign="top"
| —01′
|
|
| {<x, min(μA(x), νB(x)), max(νA(x), μB(x))>|x ∈ E}

|- valign="top"
| —02′
|
|
| {<x, min(μA(x), {{overline|sg}}(μB(x))), max(νA(x), sg(μB(x)))>|x ∈ E}

|- valign="top"
| —03′
|
|
| {<x, min(μA(x), νB(x)), max(νA(x), μB(x).νB(x) + μB(x)2)>|x ∈ E}

|- valign="top"
| —04′
|
|
| {<x, min(μA(x), νB(x)), max(νA(x), 1 - νB(x))>|x ∈ E}

|- valign="top"
| —05′
|
|
| {<x, min(μA(x), {{overline|sg}}(1 - νB(x))), max(νA(x), sg(1 - νB(x)))>|x ∈ E}

|- valign="top"
| —06′
|
|
| {<x, min(μA(x), {{overline|sg}}(1 - νB(x))), max(νA(x), sg(μB(x)))>|x ∈ E}

|- valign="top"
| —07′
|
|
| {<x, min(μA(x), {{overline|sg}}(1 - νB(x))), max(νA(x), μB(x))>|x ∈ E}

|- valign="top"
| —08′
|
|
| {<x, min(μA(x), 1 - μB(x)), max(νA(x), μB(x))>|x ∈ E}

|- valign="top"
| —09′
|
|
| {<x, min(μA(x), {{overline|sg}}(μB(x))), max(νA(x), μB(x))>|x ∈ E}

|- valign="top"
| —10′
|
|
| {<x, min(μA(x), {{overline|sg}}(1 - νB(x))), max(νA(x), 1 - νB(x))>|x ∈ E}

|- valign="top"
| —11′
|
|
| {<x, min(μA(x), sg(νB(x))), max(νA(x), {{overline|sg}}(νB(x)))>|x ∈ E}

|- valign="top"
| —12′
|
|
| {<x, min(μA(x), νB(x).(μB(x) + νB(x))), max(νA(x), μB(x).(νB(x)2 + μB(x) + μB(x).νB(x)))>|x ∈ E}

|- valign="top"
| —13′
|
|
| {<x, min(μA(x), sg(1 - μB(x))), max(νA(x), {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —14′
|
|
| {<x, min(μA(x), sg(νB(x))), max(νA(x), {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —15′
|
|
| {<x, min(μA(x), {{overline|sg}}(1 - νB(x))), max(νA(x), {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —16′
|
|
| {<x, min(μA(x), {{overline|sg}}(μB(x))), max(νA(x), {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —17′
|
|
| {<x, min(μA(x), {{overline|sg}}(1 - νB(x))), max(νA(x), {{overline|sg}}(νB(x)))>|x ∈ E}

|- valign="top"
| —18′
|
|
| {<x, min(μA(x), νB(x), sg(μB(x))), max(νA(x), min(μB(x), sg(νB(x))))>|x ∈ E}

|- valign="top"
| —19′
|
|
| {<x, min(μA(x), νB(x), sg(μB(x))), νA(x)>|x ∈ E}

|- valign="top"
| —20′
|
|
| {<x, min(μA(x), νB(x)), νA(x)>|x ∈ E}

|- valign="top"
| —21′
|
|
| {<x, min(μA(x), 1 - μB(x), sg(μB(x))), max(νA(x), min(μB(x), sg(1 - μB(x))))>|x ∈ E}

|- valign="top"
| —22′
|
|
| {<x, min(μA(x), 1 - μB(x), sg(μB(x))), νA(x)>|x ∈ E}

|- valign="top"
| —23′
|
|
| {<x, min(μA(x), 1 - μB(x)), νA(x)>|x ∈ E}

|- valign="top"
| —24′
|
|
| {<x, min(μA(x), νB(x), sg(1 - νB(x))), max(νA(x), min(1 - νB(x), sg(νB(x))))>|x ∈ E}

|- valign="top"
| —25′
|
|
| {<x, min(μA(x), νB(x), sg(1 - νB(x))), νA(x)>|x ∈ E}

|- valign="top"
| —26′
|
|
| {<x, min(μA(x), νB(x)), max(νA(x), μB(x).νB(x) + {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —27′
|
|
| {<x, min(μA(x), 1 - μB(x)), max(νA(x), μB(x).(1 - μB(x)) + {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —28′
|
|
| {<x, min(μA(x), νB(x)), max(νA(x), (1 - νB(x)).νB(x) + {{overline|sg}}(νB(x)))>|x ∈ E}

|- valign="top"
| —29′
|
|
| {<x, min(μA(x), max(0, μB(x).νB(x) + {{overline|sg}}(1 - νB(x)))), max(νA(x), μB(x).(μB(x).νB(x) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —30′
|
|
| {<x, min(μA(x), μB(x).νB(x), max(νA(x), μB(x).(μB(x).νB(x) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —31′
|
|
| {<x, min(μA(x), (1 - μB(x)).μB(x) + {{overline|sg}}(μB(x))), max(νA(x), μB(x).((1 - μB(x)).μB(x) + {{overline|sg}}(μB(x))) + {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —32′
|
|
| {<x, min(μA(x), (1 - μB(x)).μB(x), max(νA(x), μB(x).((1 - μB(x)).μB(x) + {{overline|sg}}(μB(x))) + {{overline|sg}}(1 - μB(x)))>|x ∈ E}

|- valign="top"
| —33′
|
|
| {<x, min(μA(x), νB(x).(1 - νB(x)) + {{overline|sg}}(1 - νB(x))), max(νA(x), (1 - νB(x)).(νB(x).(1 - νB(x)) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(νB(x)))>|x ∈ E}

|- valign="top"
| —34′
|
|
| {<x, min(μA(x), νB(x).(1 - νB(x))), max(νA(x), (1 - νB(x)).(νB(x).(1 - νB(x)) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(νB(x)))>|x ∈ E}

|}

=== Alternative separated view ===

{| width="100%" class="wikitable" style="font-family:Courier; font-size:120%;"
|- valign="top"
! width="5%" | No.
! width="5%" | Ref.
! width="5%" | Year
! width="85%" | Subtraction:

{<x, Subtraction MEMBERSHIP expression, Subtraction NON-MEMBERSHIP expression >|x ∈ E}

|}

{| width="100%" class="wikitable sortable" style="font-family:Courier; font-size:120%;"
|- valign="top"
! width="5%" | No.
! width="5%" | Ref.
! width="5%" | Year
! width="40%" | Subtraction MEMBERSHIP expression 
! width="45%" | Subtraction NON-MEMBERSHIP expression 

|- valign="top"
| —01′
|
|
| style= "color: green;" | min(μA(x), νB(x))
| style= "color: red;" | max(νA(x), μB(x))

|- valign="top"
| —02′
|
|
| min(μA(x), {{overline|sg}}(μB(x)))
| max(νA(x), sg(μB(x)))

|- valign="top"
| —03′
|
|
| min(μA(x), νB(x))
| max(νA(x), μB(x).νB(x) + μB(x)2)

|- valign="top"
| —04′
|
|
| min(μA(x), νB(x))
| max(νA(x), 1 - νB(x))

|- valign="top"
| —05′
|
|
| min(μA(x), {{overline|sg}}(1 - νB(x)))
| max(νA(x), sg(1 - νB(x)))

|- valign="top"
| —06′
|
|
| min(μA(x), {{overline|sg}}(1 - νB(x)))
| max(νA(x), sg(μB(x)))

|- valign="top"
| —07′
|
|
| min(μA(x), {{overline|sg}}(1 - νB(x)))
| max(νA(x), μB(x))

|- valign="top"
| —08′
|
|
| min(μA(x), 1 - μB(x))
| max(νA(x), μB(x))

|- valign="top"
| —09′
|
|
| min(μA(x), {{overline|sg}}(μB(x)))
| max(νA(x), μB(x))

|- valign="top"
| —10′
|
|
| min(μA(x), {{overline|sg}}(1 - νB(x)))
| max(νA(x), 1 - νB(x))

|- valign="top"
| —11′
|
|
| min(μA(x), sg(νB(x)))
| max(νA(x), {{overline|sg}}(νB(x)))

|- valign="top"
| —12′
|
|
| min(μA(x), νB(x).(μB(x) + νB(x)))
| max(νA(x), μB(x).(νB(x)2 + μB(x) + μB(x).νB(x)))

|- valign="top"
| —13′
|
|
| min(μA(x), sg(1 - μB(x)))
| max(νA(x), {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —14′
|
|
| min(μA(x), sg(νB(x)))
| max(νA(x), {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —15′
|
|
| min(μA(x), {{overline|sg}}(1 - νB(x)))
| max(νA(x), {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —16′
|
|
| min(μA(x), {{overline|sg}}(μB(x)))
| max(νA(x), {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —17′
|
|
| min(μA(x), {{overline|sg}}(1 - νB(x)))
| max(νA(x), {{overline|sg}}(νB(x)))

|- valign="top"
| —18′
|
|
| min(μA(x), νB(x), sg(μB(x)))
| max(νA(x), min(μB(x), sg(νB(x))))

|- valign="top"
| —19′
|
|
| min(μA(x), νB(x), sg(μB(x)))
| νA(x)

|- valign="top"
| —20′
|
|
| min(μA(x), νB(x))
| νA(x)

|- valign="top"
| —21′
|
|
| min(μA(x), 1 - μB(x), sg(μB(x)))
| max(νA(x), min(μB(x), sg(1 - μB(x))))

|- valign="top"
| —22′
|
|
| min(μA(x), 1 - μB(x), sg(μB(x)))
| νA(x)

|- valign="top"
| —23′
|
|
| min(μA(x), 1 - μB(x))
| νA(x)

|- valign="top"
| —24′
|
|
| min(μA(x), νB(x), sg(1 - νB(x)))
| max(νA(x), min(1 - νB(x), sg(νB(x))))

|- valign="top"
| —25′
|
|
| min(μA(x), νB(x), sg(1 - νB(x)))
| νA(x)

|- valign="top"
| —26′
|
|
| min(μA(x), νB(x))
| max(νA(x), μB(x).νB(x) + {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —27′
|
|
| min(μA(x), 1 - μB(x))
| max(νA(x), μB(x).(1 - μB(x)) + {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —28′
|
|
| min(μA(x), νB(x))
| max(νA(x), (1 - νB(x)).νB(x) + {{overline|sg}}(νB(x)))

|- valign="top"
| —29′
|
|
| min(μA(x), max(0, μB(x).νB(x) + {{overline|sg}}(1 - νB(x))))
| max(νA(x), μB(x).(μB(x).νB(x) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —30′
|
|
| min(μA(x), μB(x).νB(x)
| max(νA(x), μB(x).(μB(x).νB(x) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —31′
|
|
| min(μA(x), (1 - μB(x)).μB(x) + {{overline|sg}}(μB(x)))
| max(νA(x), μB(x).((1 - μB(x)).μB(x) + {{overline|sg}}(μB(x))) + {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —32′
|
|
| min(μA(x), (1 - μB(x)).μB(x)
| max(νA(x), μB(x).((1 - μB(x)).μB(x) + {{overline|sg}}(μB(x))) + {{overline|sg}}(1 - μB(x)))

|- valign="top"
| —33′
|
|
| min(μA(x), νB(x).(1 - νB(x)) + {{overline|sg}}(1 - νB(x)))
| max(νA(x), (1 - νB(x)).(νB(x).(1 - νB(x)) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(νB(x)))

|- valign="top"
| —34′
|
|
| min(μA(x), νB(x).(1 - νB(x)))
| max(νA(x), (1 - νB(x)).(νB(x).(1 - νB(x)) + {{overline|sg}}(1 - νB(x))) + {{overline|sg}}(νB(x)))

|}

== Approaches to defining intuitionistic fuzzy subtractions ==

== References ==
* [[Issue:Remark on operation "subtraction" over intuitionistic fuzzy sets|Remark on operation "subtraction" over intuitionistic fuzzy sets]], Krassimir Atanassov, 2009
* [[Issue:On intuitionistic fuzzy subtraction, generated by an implication from Kleene-Dienes type|On intuitionistic fuzzy subtraction, generated by an implication from Kleene-Dienes type]], Lilija Atanassova, 2009
* [[Issue:On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬11|On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬11]], Beloslav Riečan, Diana Boyadzhieva, Krassimir Atanassov, 2009
* [[Issue:On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬4|On intuitionistic fuzzy subtraction, related to intuitionistic fuzzy negation ¬4]], Beloslav Riečan, Magdaléna Renčová, Krassimir Atanassov, 2009
* [[Issue:Equalities with intuitionistic fuzzy subtractions and negations|Equalities with intuitionistic fuzzy subtractions and negations]], Krassimir Atanassov, Magdaléna Renčová, Dimitar Dimitrov, 2010
* [[Issue:On Łukasiewicz's intuitionistic fuzzy subtraction|On Łukasiewicz's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011
* [[Issue:On Zadeh's intuitionistic fuzzy subtraction|On Zadeh's intuitionistic fuzzy subtraction]], Beloslav Riečan, Krassimir Atanassov, 2011

== See also ==
* [[Negations over intuitionistic fuzzy sets]]
* [[Implications over intuitionistic fuzzy sets]]
* [[Cartesian product over intuitionistic fuzzy sets]]

[[Category:Intuitionistic fuzzy sets]]
{{stub}}