Issue:On measuring distances between intuitionistic fuzzy sets

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Title of paper: On measuring distances between 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: 1st ICIFS, Sofia, 18—19 Oct. 1997 Published in: Conference proceedings, "Notes on IFS", Volume 3 (1997) Number 4, pages 1—13 Download:  PDF (6027  Kb, File info) Abstract: Employing a geometrical representation of an intuitionistic fuzzy set we propose some concepts of distances between intuitionistic fuzzy sets. We show that these definitions are consistent with those defined for fuzzy sets Keywords: Fuzzy set, Intuitionistic fuzzy set, Distance between intuitionistic fuzzy sets References: Atanassov K. (1986) Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87-96 Atanassov K. (1989) More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33, 37-46. Atanassov K. (1994) New operations defined over the intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61, 137-142. Atanassov K. (1994) Operators over interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 64, 159-174. Atanassov K. (1997) Intuitionistic Fuzzy Sets: Theory and Applications (to appear), Kacprzyk J. (1997) Multistage Fuzzy Control. Wiley, Chichester. Szmidt E. and Kacprzyk J. (1996) Intuitionistic fuzzy sets in group decision making. Notes on IFS, 2, 15-32. Szmidt E. and Kacprzyk J. (1996) Group decision making via intuitionistic fuzzy sets. Proceeding of FUBEST'96 (Sofia, Bulgaria), pp. 107-112. Szmidt E. and Kacprzyk J. (1996) Remarks on some applications of intuitionistic fuzzy sets in decision making. Notes on IFS, 2, 22-31. Szmidt E. and Kacprzyk J. (1997) Intuitionistic fuzzy sets for more realistic group decision making. Proceedings of TRANSITIONS'97, June 18-21, Warsaw, Poland, 430-433. Zadeh L.A. (1965) Fuzzy sets. Information and Control, 8, 338-353. Citations: UMA, N. "A COMPARATIVE STUDY OF DISTANCE MEASURES OF INTUITIONISTIC FUZZY MULTI SETS." International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 251-257. Issue:Intuitionistic fuzzy sets in some medical applications ‎ (← links) Issue:A concept of similarity for intuitionistic fuzzy sets and its use in the aggregation of experts' testimonies ‎ (← links) Issue:Concept of distances and entropy for intuitionistic fuzzy sets and their applications in group decision making ‎ (← links) Issue:Symmetry between true, false and uncertain: An explanation ‎ (← links) Issue:Analysis of similarity measures for Atanassov's intuitionistic fuzzy sets ‎ (← links) Issue:On some measures of information and knowledge for intuitionistic fuzzy sets ‎ (← links) Issue:On some issues related to the distances between the Atanassov intuitionistic fuzzy sets are described on universe with weights ‎ (← links) Issue:Pearson's coefficient between intuitionistic fuzzy sets ‎ (← links) Issue:Probability measures for intuitionistic fuzzy sets ‎ (← links) Issue:Intuitionistic fuzzy events and their probabilities ‎ (← links) Issue:Intuitionistic fuzzy set theory and mass assignment theory: Some relations ‎ (← links) Issue:Some remarks on assigning weights to experts in multi-attribute group decision making using intuitionistic fuzzy sets ‎ (← links) Issue:Clustering stock price volatility using intuitionistic fuzzy sets ‎ (← links) Issue:To what extent can intuitionistic fuzzy options be ranked? ‎ (← links) Issue:Intuitionistic fuzzy sets in group decision making – A novel approach ‎ (← links) Issue:Extending Bellman and Zadeh's approach to decision making via intuitionistic fuzzy sets ‎ (← links) Issue:Medical diagnostic reasoning using a similarity measure for intuitionistic fuzzy sets ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.