Issue:On IF-numbers - Revision history

Vassia Atanassova: Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

2024-08-29T09:11:57Z

Text replacement - ""Notes on IFS", Volume" to ""Notes on Intuitionistic Fuzzy Sets", Volume"

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	\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria		\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on ~~IFS~~", Volume 22, 2016, Number 3]], pages 9—13		\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 3]], pages 9—13
	\| file = NIFS-22-3-009-013.pdf		\| file = NIFS-22-3-009-013.pdf
	\| format = PDF		\| format = PDF

Peter Vassilev at 12:47, 1 September 2016

2016-09-01T12:47:23Z

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	\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria		\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on IFS", Volume 22, 2016, Number 3]], pages ~~9—14~~		\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on IFS", Volume 22, 2016, Number 3]], pages 9—13
	\| file = NIFS-22-3-009-013.pdf		\| file = NIFS-22-3-009-013.pdf
	\| format = PDF		\| format = PDF

Peter Vassilev at 12:47, 1 September 2016

2016-09-01T12:47:06Z

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	{{issue/title		{{issue/title
	\| title = On IF-numbers		\| title = On IF-numbers
	\| shortcut = nifs/22/3/9-14		\| shortcut = nifs/22/3/9-13
	}}		}}
	{{issue/author		{{issue/author
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	\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria		\| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria
	\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on IFS", Volume 22, 2016, Number 3]], pages 9—14		\| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3\|"Notes on IFS", Volume 22, 2016, Number 3]], pages 9—14
	\| file = NIFS-22-3-009-~~014~~.pdf		\| file = NIFS-22-3-009-013.pdf
	\| format = PDF		\| format = PDF
	\| size = 136		\| size = 136

Peter Vassilev at 12:41, 1 September 2016

2016-09-01T12:41:05Z

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	\| file = NIFS-22-3-009-014.pdf		\| file = NIFS-22-3-009-014.pdf
	\| format = PDF		\| format = PDF
	\| size = ~~132~~		\| size = 136
	\| abstract = In the paper analogously to the notion of fuzzy numbers ([10, 11, 12, 13, 14, 18], the notion of the IF-number is introduced, using a new approach and it is studied. Especially it is proved that the space of all IF-numbers with a convenient metric function is a complete metric space.		\| abstract = In the paper analogously to the notion of fuzzy numbers ([10, 11, 12, 13, 14, 18], the notion of the IF-number is introduced, using a new approach and it is studied. Especially it is proved that the space of all IF-numbers with a convenient metric function is a complete metric space.
	\| keywords = Intuitionistic fuzzy sets, Fuzzy numbers, Metric spaces.		\| keywords = Intuitionistic fuzzy sets, Fuzzy numbers, Metric spaces.

Peter Vassilev: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

2016-09-01T12:39:57Z

Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

New page

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2016 year|{{PAGENAME}}]]
{{issue/title
| title = On IF-numbers
| shortcut = nifs/22/3/9-14
}}
{{issue/author
| author = Beloslav Riečan
| institution = Faculty of Natural Sciences, Matej Bel University, Department of Mathematics
| address = Tajovskeho 40, 974 01 Banska Bystrica, SLOVAKIA
| institution-2 = Mathematical Institute of Slovak Acad. of Sciences
| address-2 = Stefanikova 49, SK-81473 Bratislava, SLOVAKIA
| email-before-at = riecan
| email-after-at = umb.sk
}}
{{issue/author
| author = Daniela Kluvancová
| institution = Faculty of Natural Sciences, Matej Bel University, Department of Mathematics
| address = Tajovskeho 40, 974 01 Banska Bystrica, SLOVAKIA
| institution-2 = Mathematical Institute of Slovak Acad. of Sciences
| address-2 = Stefanikova 49, SK-81473 Bratislava, SLOVAKIA
| email-before-at = kluvancova.daniela
| email-after-at = umb.sk
}}
{{issue/data
| conference = 20th [[International Conference on Intuitionistic Fuzzy Sets]], 2–3 September 2016, Sofia, Bulgaria
| issue = [[Notes on Intuitionistic Fuzzy Sets/22/3|"Notes on IFS", Volume 22, 2016, Number 3]], pages 9—14
| file = NIFS-22-3-009-014.pdf
| format = PDF
| size = 132
| abstract = In the paper analogously to the notion of fuzzy numbers ([10, 11, 12, 13, 14, 18], the notion of the IF-number is introduced, using a new approach and it is studied. Especially it is proved that the space of all IF-numbers with a convenient metric function is a complete metric space.
| keywords = Intuitionistic fuzzy sets, Fuzzy numbers, Metric spaces.
| ams = 03E72, 08A72.
| references =
#Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications. Studies in Fuzziness and Soft Computing. Physica Verlag, Heidelberg.
#Atanassov, K. (2012) On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
#Atanassov, K. (2007) Remark on intuitionistic fuzzy numbers. Notes on Intuitionistic Fuzzy Sets, 13(3), 29–32.
#Atanassov, K. T., Vassilev, P. M., & Tsvetkov, R. T. (2013) Intuitionistic Fuzzy Sets, Measures and Integrals. Prof. M. Drinov Academic Publishing House, Sofia.
#Ban, A. (2006) Intuitionistic Fuzzy Measures. Theory and Applications. Nova Sci. Publishers, New York.
#Ban, A., & Coroianu, L. (2011) Approximations of intuitionistic fuzzy numbers generated from approximations of fuzzy numbers. Recent Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I: Foundations. Warsaw, SRI Polish Academy of Sciences, 43–61.
#Boccuto, A., Riečan, B., Vrábelová, & M. Kurzweil (2009) Henstock Integral in Riesz Spaces, Bentham.
#Burillo, P., Bustince, H. & Mohedano, V. (1994) Some definitions of intuitionistic fuzzy number. First properties. Proc. of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, 28–30 Sept. 1994, 53–55.
#Ciungu, L., & Riečan, B. (2010) Representation theorem for probabilities on IFS-events. Information Sciences, 180, 703–708.
#Congxin, W., & Gong, Z. (2001) On Henstock integral of fuzzy-number-valued functions, Fuzzy Sets and Systems, 120(3), 523–532.
#Congxin, W., & Ming, M. (1991) On embeding problem of fuzzy number space: Part 1. Fuzzy Sets and Systems 44, 33–38.
#Goetchel, R., & Voxman,W. (1986) Elementary fuzzy calculus. Fuzzy Sets and Systems, 18, 31–43. 12
#Guang-Quan, Z. (1991) Fuzzy continuous function and its properties. Fuzzy Sets and Systems, 43, 159–171.
#Ming, M. (1993) On embedding problem of fuzzy number space. Part 4. Fuzzy Sets and Systems, 58, 185–193.
#Riečan, B. (2012) Analysis of Fuzzy Logic Models. Intelligent Systems (V. M. Koleshko ed.), INTECH, 219–244.
#Riečan, B., & Mundici, D. (2002) Probability inMV-algebras. Handbook of Measure Theory (E. Pap ed.), Elsevier, Heidelberg.
#Riečan, B., & Neubrunn, T. (1997) Integral, Measure, and Ordering. Kluwer, Dordrecht.
#Uzzal Afsan, B. M. (2016) On convergence theorems for fuzzy Henstock integrals. Iranian J. of Fuzzy Systems (in press).
#Zadeh, L. A. (1965) Fuzzy sets. Inform. and Control, 8, 338–358.
#Zadeh, L. A. (1968) Probability measures of fuzzy events. J. Mat. Anal. Apl., 23, 421–427.
| citations =
| see-also =
}}