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#  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.
#  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.
#  Pappis C., and Karacapilidis N. (1993). A comparative assessment of measures of similarity of fuzzy values.Fuzzy Sets and Systems, Vol. 56, 171—174.
#  Pappis C., and Karacapilidis N. (1993). A comparative assessment of measures of similarity of fuzzy values.Fuzzy Sets and Systems, Vol. 56, 171—174.
#  Szmidt E. and Baldwin J. (2003) New Similarity Measure for Intuitionistic Fuzzy Set Theory and Mass Assignment Theory. Notes on IFSs, 9 (3), 60—76.
#  Szmidt E. and 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) Entropy for Intuitionistic Fuzzy Set Theory and Mass Assignment Theory.Notes on IFSs, 10, 3, 15-28.
#  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. (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. (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets and Systems, 118 (3),467—477.

Revision as of 11:08, 28 February 2017

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Title of paper: Two- and three-parameter representation of intuitionistic fuzzy sets in the context of entropy and similarity
Author(s):
Eulalia Szmidt
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research lnstitute - Polish Academy of Sciences, ul. Newelska 6, OL-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Presented at: 11th ICIFS, Sofia, Bulgaria, 28-30 April 2007
Published in: Conference proceedings, "Notes on IFS", Volume 13 (2007) Number 2, pages 8—17
Download:  PDF (193  Kb, File info)
Abstract: This paper is a continuation of our previous papers on entropy and similarity of the Atanassov intuitionistic fuzzy sets (A-IFSs, for short). We discuss the usefulness of taking into account all three functions (membership, non-membership and hesitation margin) describing A-IFSs while considering the entropy and similarity measures. We demonstrate on the examples that the omitting of the hesitation margins in both entropy and similarity measures considered leads sometimes to the counterintuitive results.
Keywords: Intuitionistic fuzzy sets, Entropy, Similarity
References:
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