Issue:Generalized Atanassov's intuitionistic fuzzy index. Construction method - Revision history

Vassia Atanassova: Issue:Generalized Atanassov’s intuitionistic fuzzy index. Construction method moved to Issue:Generalized Atanassov's intuitionistic fuzzy index. Construction method

2011-01-13T16:47:30Z

Issue:Generalized Atanassov’s intuitionistic fuzzy index. Construction method moved to Issue:Generalized Atanassov's intuitionistic fuzzy index. Construction method

← Older revision	Revision as of 19:47, 13 January 2011
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Vassia Atanassova at 16:47, 13 January 2011

2011-01-13T16:47:23Z

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	{{issue/title		{{issue/title
	\| title = Generalized ~~Atanassov’s~~ intuitionistic fuzzy index. Construction method		\| title = Generalized Atanassov's intuitionistic fuzzy index. Construction method
	\| shortcut = eusflat-2009-478-482		\| shortcut = eusflat-2009-478-482
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Vassia Atanassova at 16:47, 13 January 2011

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	\| title = ~~Analysis of similarity measures for Atanassov's~~ intuitionistic fuzzy ~~sets~~		\| title = Generalized Atanassov’s intuitionistic fuzzy index. Construction method
	\| shortcut = eusflat-2009-478-482		\| shortcut = eusflat-2009-478-482
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	# H. Bustince, E. Barrenechea, V. Mohedano. Intuitionistic Fuzzy Implication Operators. An expression and main properties. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12(3):387–406, 2004.		# H. Bustince, E. Barrenechea, V. Mohedano. Intuitionistic Fuzzy Implication Operators. An expression and main properties. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12(3):387–406, 2004.
	# H. Bustince, V. Mohedano, E. Barrenechea, M. Pagola. A study of the Intuitionistic Fuzzy S-Implication. First Properties. Procesos de Toma de Decisiones, modelado y Agregaci´on de Preferencias, 141–150, Eds.:E. Herrera-Viedma, 2005.		# H. Bustince, V. Mohedano, E. Barrenechea, M. Pagola. A study of the Intuitionistic Fuzzy S-Implication. First Properties. Procesos de Toma de Decisiones, modelado y Agregaci´on de Preferencias, 141–150, Eds.:E. Herrera-Viedma, 2005.
	# H. Bustince, M. Pagola, P. Melo-Pinto, E. Barrenechea, P. Couto, Image Threshold Computation by modelizing Knowledge/Unknowledge by means of Atanassov’s Intuitionistic Fuzzy Sets. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Intelligent Systems from Decision Making to Data Mining, Web Intelligence and Computer Vision, 621–638, Eds.: H. Bustince,		# H. Bustince, M. Pagola, P. Melo-Pinto, E. Barrenechea, P. Couto, Image Threshold Computation by modelizing Knowledge/Unknowledge by means of Atanassov’s Intuitionistic Fuzzy Sets. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Intelligent Systems from Decision Making to Data Mining, Web Intelligence and Computer Vision, 621–638, Eds.: H. Bustince, F. Herrera, J. montero, (Springer-Verlag), 2008.
	F. Herrera, J. montero, (Springer-Verlag), 2008.
	# H. Bustince, E. Barrenechea, M. Pagola. Generation of interval-valued fuzzy and Atanassov’s intuitionistic fuzzy connectives from fuzzy connectives and from Kα operators: Laws for conjunctions and disjunctions, amplitude. International Journal of Intelligent Systems, 23(6):680-714, 2008.		# H. Bustince, E. Barrenechea, M. Pagola. Generation of interval-valued fuzzy and Atanassov’s intuitionistic fuzzy connectives from fuzzy connectives and from Kα operators: Laws for conjunctions and disjunctions, amplitude. International Journal of Intelligent Systems, 23(6):680-714, 2008.
	# H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, J. Olagoitia, P. Melo-Pinto, P. Couto. Contrast computing using Atanassov’s intuitionistic fuzzy sets. In Proc. 8th International FLINS Conference on Computational Intelligence in Decision and Control ,Madrid: 259–264, 2008.		# H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, J. Olagoitia, P. Melo-Pinto, P. Couto. Contrast computing using Atanassov’s intuitionistic fuzzy sets. In Proc. 8th International FLINS Conference on Computational Intelligence in Decision and Control ,Madrid: 259–264, 2008.

Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/ti...

2011-01-13T16:44:46Z

New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/ti...

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:EUSFLAT conference publications|{{PAGENAME}}]]
[[Category:Publications in 2009 year|{{PAGENAME}}]]
{{issue/title
| title = Analysis of similarity measures for Atanassov's intuitionistic fuzzy sets
| shortcut = eusflat-2009-478-482
}}
{{issue/author
| author = Edurne Barrenechea
| institution = Dpt. Automática y Computación, Universidad Pública de Navarra
| address = Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
| email-before-at = edurne.barrenechea
| email-after-at = unavarra.es
}}
{{issue/author
| author = Humberto Bustince
| institution = Dpt. Automática y Computación, Universidad Pública de Navarra
| address = Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
| email-before-at = bustince
| email-after-at = unavarra.es
}}
{{issue/author
| author = Miguel Pagola
| institution = Dpt. Automática y Computación, Universidad Pública de Navarra
| address = Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
| email-before-at = miguel.pagola
| email-after-at = unavarra.es
}}
{{issue/author
| author = Javier Fernandez
| institution = Dpt. Automática y Computación, Universidad Pública de Navarra
| address = Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
| email-before-at = fcojavier.fernandez
| email-after-at = unavarra.es
}}
{{issue/author
| author = Josean Sanz
| institution = Dpt. Automática y Computación, Universidad Pública de Navarra
| address = Campus de Arrosadía, s/n, 31006 Pamplona (Spain)
| email-before-at = joseantonio.sanz
| email-after-at = unavarra.es
}}
{{issue/data
| conference = Joint 2009 [[International Fuzzy Systems Association]] World Congress and 2009 [[European Society for Fuzzy Logic and Technology]] Conference, Lisbon, Portugal, July 20-24, 2009
| issue = Conference proceedings, pages 478-482
| file = IFSA-EUSFLAT-2009-0478-0482.pdf
| format = PDF
| size = 168
| abstract =

In this work we introduce the concept of ''Generalized Atanassov's Intuitionistic Fuzzy Index''. We characterize it in terms of
fuzzy implication operators and we propose a construction method with automorphisms. Finally, we study some special properties of the generalized Atanassov’s intuitionistic fuzzy index.

| keywords = [[intuitionistic fuzzy sets|Atanassov's Intuitionistic Fuzzy Index]], Fuzzy Implication Operator, Automorphisms
| references =

# K. T. Atanassov. [[Issue:Intuitionistic fuzzy sets (1983)|Intuitionistic fuzzy sets]]. In: V. Sgurev, ed., VII ITKR’s Session, Sofia, June 1983 (deposed in Central Science and Technical Library, Bulgarian Academy of Sciences, 1697/84, in Bulgarian).
# K. T. Atanassov. [[Intuitionistic Fuzzy Sets: Theory and Applications|Intuitionistic Fuzzy Sets]]. Fuzzy Sets and Systems,20:87–96, 1986.
# K. Atanassov, G. Gargov. Elements of Intuitionistic Fuzzy Logic. Part I. Fuzzy Sets and Systems,95:39-52, 1998.
# P. Burillo, H. Bustince. [[Issue:Orderings in the referential set induced by an intuitionistic fuzzy relation|Orderings in the referential set induced by an intuitionistic fuzzy relation]]. Notes on Intuitionistic Fuzzy Sets, 1:93-103, 1995.
# H. Bustince, P. Burillo, V.Mohedano. About Intuitionistic Fuzzy Implication Operators. JCIS 2002, Research Triangle Park, 109–113, North Carolina, USA, 2002.
# H. Bustince, P. Burillo, F. Soria. Automorphisms, Negations and Implication Operators. Fuzzy Sets and Systems, 134:209-229, 2003.
# H. Bustince, E. Barrenechea, V. Mohedano. Intuitionistic Fuzzy Implication Operators. An expression and main properties. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 12(3):387–406, 2004.
# H. Bustince, V. Mohedano, E. Barrenechea, M. Pagola. A study of the Intuitionistic Fuzzy S-Implication. First Properties. Procesos de Toma de Decisiones, modelado y Agregaci´on de Preferencias, 141–150, Eds.:E. Herrera-Viedma, 2005.
# H. Bustince, M. Pagola, P. Melo-Pinto, E. Barrenechea, P. Couto, Image Threshold Computation by modelizing Knowledge/Unknowledge by means of Atanassov’s Intuitionistic Fuzzy Sets. Fuzzy Sets and Their Extensions: Representation, Aggregation and Models. Intelligent Systems from Decision Making to Data Mining, Web Intelligence and Computer Vision, 621–638, Eds.: H. Bustince,
F. Herrera, J. montero, (Springer-Verlag), 2008.
# H. Bustince, E. Barrenechea, M. Pagola. Generation of interval-valued fuzzy and Atanassov’s intuitionistic fuzzy connectives from fuzzy connectives and from Kα operators: Laws for conjunctions and disjunctions, amplitude. International Journal of Intelligent Systems, 23(6):680-714, 2008.
# H. Bustince, E. Barrenechea, M. Pagola, J. Fernandez, J. Olagoitia, P. Melo-Pinto, P. Couto. Contrast computing using Atanassov’s intuitionistic fuzzy sets. In Proc. 8th International FLINS Conference on Computational Intelligence in Decision and Control ,Madrid: 259–264, 2008.
# C. Cornelis, G. Deschrijver. The Compositional Rule of Inference in an Intuitionistic Fuzzy Logic Setting. In Proc. 6th ESSLLI Students Session, 2001.
# C. Cornelis, G. Deschrijver, E. Kerre. Classification of Intuitionistic Fuzzy Implicators: an Algebraic Approach. In Proc. 6th Joint Conf. Information Sciences, Research Triangle Park, USA: 105–108, 2002.
# G. Deschrijver, C. Cornelis, E. Kerre. On the representation of intuitionistic fuzzy t-norms and t-conorms. IEEE Transactions on Fuzzy Systems, 12(1):45-61, 2004.
# J. Fodor, M. Roubens. Fuzzy Preference Modelling and Multicriteria Decision Support. Theory and Decision. Kluwer Academic Publishers, 1994.
# A. Pankowska, M. Wygralak. On hesitation degrees in IF-set theory. In: LNAI 3070, Springer, 338–343, 2004.
# A. Pankowska, M. Wygralak. General If-sets with triangular norms and their applications to group decision making. Information Sciences, 176:2713–2754, 2006.
# P. Smets, P. Magrez. Implication in fuzzy logic. International Journal of Approximate Reasoning, 1:327-347, 1987.
# E. Trillas. Sobre funciones de negación en la teoría de conjuntos difusos. Stochastica, III(1):47-59, 1979 (in Spanish). Reprinted (English version) in: Advances of Fuzzy Logic. S. Barro et altri-Universidad de Santiago de Compostela, 31-43,1998.
# E. Trillas, C. Alsina, J.M. Terricabras. Introducción a la lógica borrosa, ArielMatemática, 1995.
# M. Wygralak. Representing incomplete knowledge about fuzzy sets. In Proc. 5th Eusflat Conf., Ostrava, Czech Rep.: Vol.II, 287–292, 2007.

| citations =
| see-also =
}}