Issue:A new measure of entropy and its connection with a similarity measure for intuitionistic fuzzy sets

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http://ifigenia.org/wiki/issue:eusflat-2005-461-466

Title of paper: A new measure of entropy and its connection with a similarity measure for intuitionistic fuzzy sets Author(s): Eulalia Szmidt Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01—447 Warsaw, Poland szmidt@ibspan.waw.pl Janusz Kacprzyk Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01—447 Warsaw, Poland kacprzyk@ibspan.waw.pl Presented at: Joint 4th Conference of the European Society for Fuzzy Logic and Technology and the 11th Rencontres Francophones sur la Logique Floue et ses Applications, Barcelona, Spain, September 7-9, 2005. Published in: Conference proceedings, pages 461-466 Download:  PDF (267  Kb, File info) Abstract: We propose a new measure 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 now we propose the formulas easier to calculate. Next, we show that the same result can be obtained when the distance between the element considered and its complement is taken into account. The proposed entropy measure is closely related to the similarity measure we have proposed earlier. 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: n/a Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.