Issue:Cardinality and entropy of IF sets - Revision history

Vassia Atanassova: Text replacement - "Conference proceedings," to ""

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← Older revision		Revision as of 18:27, 28 August 2024
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	\| conference = 9<sup>th</sup> [[ICIFS]], Sofia, 7-8 May 2005		\| conference = 9<sup>th</sup> [[ICIFS]], Sofia, 7-8 May 2005
	\| issue = ~~Conference proceedings,~~ [[Notes on Intuitionistic Fuzzy Sets/11/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 11 (2008) Number 3]], pages 78—87		\| issue = [[Notes on Intuitionistic Fuzzy Sets/11/3\|"Notes on Intuitionistic Fuzzy Sets", Volume 11 (2008) Number 3]], pages 78—87
	\| file = NIFS-11-3-078-087.pdf		\| file = NIFS-11-3-078-087.pdf
	\| format = PDF		\| format = PDF

Vassia Atanassova at 19:02, 2 July 2017

2017-07-02T19:02:46Z

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."

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[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2005 year|{{PAGENAME}}]]
[[Category:ICIFS conference publications|{{PAGENAME}}]]
{{issue/title
| title = Cardinality and entropy of IF sets
| shortcut = nifs/11/3/78-87
}}
{{issue/author
| author = Pavol Král
| institution = Faculty of Economics, Matej Bel University, Department of Mathematics
| address = Tajovskeho 10 974 01 Banska Bystrica, Slovakia
| email-before-at = pavol.kral
| email-after-at = umb.sk
}}

{{issue/data
| conference = 9<sup>th</sup> [[ICIFS]], Sofia, 7-8 May 2005
| issue = Conference proceedings, [[Notes on Intuitionistic Fuzzy Sets/11/3|"Notes on Intuitionistic Fuzzy Sets", Volume 11 (2008) Number 3]], pages 78—87
| file = NIFS-11-3-078-087.pdf
| format = PDF
| size = 4979
| abstract =
There are two basic different approaches to the entropy of finite IF sets. One can be found in [3], the other in [17]. The paper # has presented the possible extensions of axiomatic theory of the scalar cardinality of finite fuzzy sets developed by Wygralak (see [23]) to the case of IF sets. The aim of our contribution is to show the connections of cardinalities of finite IF sets to both entropies. We will show that the entropy in both sense can be derived from appropriate cardinality.
| keywords = cardinality, IF sets, entropy
| references =

# Atanassov, K., T. (1986) Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87-96.
# Atanassov, K., T., Gargov, G. (1989) Interval valued intuitionistic fuzzy sets, Fuzzy sets and Systems 31, 343-349.
# Burillo, P., Bustince, H.,(1996) Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems 78, 305-316.
# De Luca, A., Termini, S.(1972) A definition of non-probabilistic entropy in the setting of fuzzy sets theory Inform. Control 20, 301-312.
# Deschrijver, G., Cornelis, C., Kerre, E. E. (2003) Intuitionistic fuzzy connectives revisited, Proceedings of the 9th Iternational Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pages 1839 - 1844-
# Dubois, D., Prade, D. (1985) Fuzzy cardinality and the modeling of imprecise quantification Fuzzy Sets and Systems 16, 199-230.
# Gottwald, S. (1980) A note on fuzzy cardinals Kybernetika 16, 156-158.
# Kaufmann, A. (1975) Introduction to the Theory of Fuzzy Subsets, Academic Press, New York.
# Kaufmann, A. (1977) Introduction a la theorie des sous-ensembles flous Complement et Nouvelles Applications 4
# Kosko, B. (1986) Fuzzy entropy and conditioning, Inform. Sci. 40 (2), 165-174.
# Kosko, B. (1990) Fuzziness vs. probability, Internat J. General Systems 17 (2-3), 211-240.
# Kosko, B. (1997) Fuzzy Engineering, Prentice-Hall, Englewood Cliffs, NJ.
# Král, P. (2004) On the Scalar Cardinality of IF Sets. Journal of Electrical Engineering, volume 55, 83 - 86.
# Loo, S. G. (1977), Measures of fuzziness, Cybernetica 20, 201-210.
# Ralescu, D.(1995) Cardinality, quantifiers, and the aggregation of fuzzy criteria Fuzzy Sets and Systems 69, 355-365.
# Sambuc, R.(1975) Functions $-flous. Aplication a l'aide au diagnostic en pathologie thyro-dene, Theese, Universite de Marseille.
# Szmidt, E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems 110: 467-477
# Trillas, E., Riera, T. (1978) Entropies in finite fuzzy sets, Inform. Sci. 15, 159-168.
# Yager, R. R. (1982) On measure of fuziness and fuzzy complements, Internat. J. General Systems 8, 169-180.
# Wygralak, M. (2000) An axiomatic approach to scalar cardinalities of a fuzzy set Fuzzy Sets and Systems 110, 175-176.
# Wygralak, M. (1997) Cardinalities of fuzzy sets evaluated by single cardinals Proc. IFSA Congress Praha, 73 - 77
# Wygralak, M. (1999) Question of cardinality of finite fuzzy sets Fuzzy Sets and Systems 102, 185-210.
# Wygralak, M. (2003) Cardinalities of Fuzzy Sets. Studies in Fuzziness and Soft Computing 118, Springer-Verlag, Berlin, Heidelberg.
# Zadeh, L. A. (1965) Fuzzy sets, Inform, and Control 8, 338-353.
# Zadeh, L. A. (1965) Fuzzy sets and systems, Proceedings of the Symposium on on Systems Theory, Polytechnic Institute of Brooklyn, NY

| citations =
| see-also =
}}

← Older revision		Revision as of 22:02, 2 July 2017
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	\| references =		\| references =

	# Atanassov, K., T. (1986) Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20, 87-96.		# Atanassov, K., T. (1986) [[Issue:Intuitionistic fuzzy sets\|Intuitionistic fuzzy sets]]. Fuzzy Sets and Systems 20, 87-96.
	# Atanassov, K., T., Gargov, G. (1989) Interval valued intuitionistic fuzzy sets, Fuzzy sets and Systems 31, 343-349.		# Atanassov, K., T., Gargov, G. (1989) [[Issue:Interval valued intuitionistic fuzzy sets\|Interval valued intuitionistic fuzzy sets]], Fuzzy sets and Systems 31, 343-349.
	# Burillo, P., Bustince, H.,(1996) Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems 78, 305-316.		# Burillo, P., Bustince, H.,(1996) Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets, Fuzzy Sets and Systems 78, 305-316.
	# De Luca, A., Termini, S.(1972) A definition of non-probabilistic entropy in the setting of fuzzy sets theory Inform. Control 20, 301-312.		# De Luca, A., Termini, S.(1972) A definition of non-probabilistic entropy in the setting of fuzzy sets theory Inform. Control 20, 301-312.
	# Deschrijver, G., Cornelis, C., Kerre, E. E. (2003) Intuitionistic fuzzy connectives revisited, Proceedings of the 9th Iternational Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pages 1839 - 1844-		# Deschrijver, G., Cornelis, C., Kerre, E. E. (2003) Intuitionistic fuzzy connectives revisited, Proceedings of the 9th Iternational Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, pages 1839-1844.
	# Dubois, D., Prade, D. (1985) Fuzzy cardinality and the modeling of imprecise quantification Fuzzy Sets and Systems 16, 199-230.		# Dubois, D., Prade, D. (1985) Fuzzy cardinality and the modeling of imprecise quantification Fuzzy Sets and Systems 16, 199-230.
	# Gottwald, S. (1980) A note on fuzzy cardinals Kybernetika 16, 156-158.		# Gottwald, S. (1980) A note on fuzzy cardinals Kybernetika 16, 156-158.
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	# Loo, S. G. (1977), Measures of fuzziness, Cybernetica 20, 201-210.		# Loo, S. G. (1977), Measures of fuzziness, Cybernetica 20, 201-210.
	# Ralescu, D.(1995) Cardinality, quantifiers, and the aggregation of fuzzy criteria Fuzzy Sets and Systems 69, 355-365.		# Ralescu, D.(1995) Cardinality, quantifiers, and the aggregation of fuzzy criteria Fuzzy Sets and Systems 69, 355-365.
	# Sambuc, R.(1975) Functions $-flous. Aplication a l'aide au diagnostic en pathologie thyro-dene, Theese, Universite de Marseille.		# Sambuc, R.(1975) Functions Ф-flous. Aplication a l'aide au diagnostic en pathologie thyro-dene, Theese, Universite de Marseille.
	# Szmidt, E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems 110: 467-477		# Szmidt, E., Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems 110: 467-477
	# Trillas, E., Riera, T. (1978) Entropies in finite fuzzy sets, Inform. Sci. 15, 159-168.		# Trillas, E., Riera, T. (1978) Entropies in finite fuzzy sets, Inform. Sci. 15, 159-168.