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

2024-08-28T16:10:22Z

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

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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 = [[Notes on Intuitionistic Fuzzy Sets/11/2\|"Notes on ~~IFS~~", Volume 11 (2005) Number 2]], pages 12—20		\| issue = [[Notes on Intuitionistic Fuzzy Sets/11/2\|"Notes on Intuitionistic Fuzzy Sets", Volume 11 (2005) Number 2]], pages 12—20
	\| file = NIFS-11-2-12-20.pdf		\| file = NIFS-11-2-12-20.pdf
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Vassia Atanassova: Text replacement - "Conference proceedings," to ""

2024-08-28T15:08:54Z

Text replacement - "Conference proceedings," to ""

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	\| issue = ~~Conference proceedings,~~ [[Notes on Intuitionistic Fuzzy Sets/11/2\|"Notes on IFS", Volume 11 (2005) Number 2]], pages 12—20		\| issue = [[Notes on Intuitionistic Fuzzy Sets/11/2\|"Notes on IFS", Volume 11 (2005) Number 2]], pages 12—20
	\| file = NIFS-11-2-12-20.pdf		\| file = NIFS-11-2-12-20.pdf
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Mighty Bot: Borislav: shortcut nifs/11/2/12-20

2009-06-03T17:23:20Z

Borislav: shortcut nifs/11/2/12-20

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	\| title = New measures of entropy for intuitionistic fuzzy sets		\| title = New measures of entropy for intuitionistic fuzzy sets
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	{{issue/author		{{issue/author

Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} [[Category:IC...

2009-04-24T16:19:32Z

New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} [[Category:IC...

New page

[[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 = New measures of entropy for intuitionistic fuzzy sets
}}
{{issue/author
| author = Eulalia Szmidt
| institution = Systems Research lnstitute - Polish Academy of Sciences
| address = ul. Newelska 6, OL-447 Warsaw, Poland
| email-before-at = szmidt
| email-after-at = ibspan.waw.pl
}}
{{issue/author
| author = Janusz Kacprzyk
| institution = Systems Research lnstitute - Polish Academy of Sciences
| address = ul. Newelska 6, OL-447 Warsaw, Poland
| email-before-at = kacprzyk
| email-after-at = ibspan.waw.pl
}}
{{issue/data
| conference = 9<sup>th</sup> [[ICIFS]], Sofia, 7-8 May 2005
| issue = Conference proceedings, [[Notes on Intuitionistic Fuzzy Sets/11/2|"Notes on IFS", Volume 11 (2005) Number 2]], pages 12—20
| file = NIFS-11-2-12-20.pdf
| format = PDF
| size = 167
| abstract =
We propose the new measures of entropy for intuitionistic fuzzy sets. This paper is in a sense a continuation of our previous paper on entropy of intuitionistic fuzzy sets — the inferences are based on the same two types of distances as previously — to the farer and to the nearer crisp elements. But instead of the ratio of these distances we examine their difference. The distances are calculated using the formulas for the normalized Hamming distance, and the normalized Euclidean distance. In the case of the Hamming distance we obtain simpler formulas than in our previous paper. We show some special properties for the formulas when Hamming distance is applied. We also suggest π-entropy, a function strongly accounting for the lack of knowledge as to the membership and non-membership.
| keywords = [[Fuzzy sets]], [[Intuitionistic fuzzy sets]], Entropy, [[Similarity]]
| references =
# [[Krassimir Atanassov|Atanassov K.]] (1986) [[Issue:Intuitionistic fuzzy sets|Intuitionistic fuzzy sets]]. [[Fuzzy Sets and Systems]], 20, 87—96.
# [[Krassimir Atanassov|Atanassov K.]] (1999), [[Intuitionistic Fuzzy Sets: Theory and Applications]]. Springer-Verlag.
# [[Pedro Burillo|Burillo P.]] and [[Humberto Bustince|Bustince H.]] (1996). Entropy of intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets and Systems, 78, 305—316.
# [[Chris Cornelis|Cornelis Ch.]] and [[Etienne Kerre|Kerre E.]] (2003). Inclusion measures in intuitionistic fuzzy set theory. Proc. of ECSQARU’ 2003.
# Higashi M. and [[George Klir|Klir G.]] (1982). On measures of fuzziness and fuzzy complements. Int. J. Gen. Syst., 8, 169—180.
# De Luca A. and Termini S. (1972). A definition of a non-probabilistic entropy in the setting of fuzzy sets theory. Inform. and Control, 20, 301—312.
# Fan J. and W. Xie (1999). Distance measure and induced fuzzy entropy. Fuzzy Sets and Systems, 104, 305—314.
# Fan J-L., Ma Y-L. and Xie W-X. (2001). On some properties of distance measures. Fuzzy Sets and Systems, 117, 355—361.
# Fan J-L. and Ma Y-L. (2002). Some new fuzzy entropy formulas. Fuzzy sets and Systems, 128, 277—284.
# Hu Q. and Yu D. (2004). Entropies of fuzzy indiscernibility relation and its operations. Int. J. of Uncertainty, Knowledge-Based Systems, 12 (5), 575—589.
# Hung W-L. (2003). A note on entropy of intuitionistic fuzzy sets. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems, 11 (5), 627—633.
# Jaynes E.T. (1979). Where do we stand on maximum entropy? In: The Maximum Entropy Formalism, Levine and Tribus (Eds.), MIT Press, Cambridge Mass.
# Kosko B. (1986) Fuzzy entropy and conditioning. Inform. Sciences, 40, 165—174.
# Pal N.R. and Bezdek J.C. (1994). Measuring fuzzy uncertainty. IEEE Trans. on Fuzzy Systems, 2 (2), 107—118.
# Pal N.R. and Pal S.K. (1991). Entropy: a new definition and its applications. IEEE Trans. on Systems, Man, and Cybernetics, 21 (5), 1260—1270.
# Szmidt E. (2000) Applications of Intuitionistic Fuzzy Sets in Decision Making. (D.Sc. dissertation) Techn. Univ., Sofia, 2000.
# Szmidt E. and [[Jim Baldwin|Baldwin J.]] (2003) [[Issue:New similarity measure for intuitionistic fuzzy set theory and mass assignment theory|New similarity measure for intuitionistic fuzzy set theory and mass assignment theory]]. Notes on IFSs, 9 (3), 60—76.
# Szmidt E. and Baldwin J. (2004) [[Issue:Entropy for intuitionistic fuzzy set theory and mass assignment theory|Entropy for intuitionistic fuzzy set theory and mass assignment theory]]. Notes on IFSs, 10 (3), 15—28.
# Szmidt E. and Kacprzyk J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114 (3), 505—518.
# Szmidt E. and Kacprzyk J. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118 (3), 467—477.
# Szmidt E. and Kacprzyk J. (2002). An Intuitionistic Fuzzy Set Base Approach to Intelligent Data Analysis (an application to medical diagnosis). In A. Abraham, L. Jain, J. Kacprzyk (Eds.): Recent Advances in Intelligent Paradigms and Applications. Springer-Verlag, 57—70.
# Szmidt E. and Kacprzyk J. (2004) Similarity of intuitionistic fuzzy sets and the Jaccard coeIcient. IPMU 2004, Perugia, Italy, 1405—1412.
# Szmidt E. and Kacprzyk J. (2005). A new concept of similarity measure for intuitionistic fuzzy sets and its use in group decision making. In press.
# Tversky A. (1977). Features of similarity. Psychol. Rev., 84, 327—352.
# [[Ronald Yager|Yager R.R.]] (1997). On measures of fuzziness and negation. Part I: Membership in the unit interval. Int. J. Gen. Syst., 5, 221—229.
# [[Lotfi Zadeh|L.A. Zadeh]] (1965). Fuzzy sets. Information and Control, 8, 338—353.

| citations =
| see-also =
}}

Issue:New measures of entropy for intuitionistic fuzzy sets - Revision history

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

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

Mighty Bot: Borislav: shortcut nifs/11/2/12-20

Vassia Atanassova: New page: {{PAGENAME}} {{PAGENAME}} {{PAGENAME}} [[Category:IC...