A concept of similarity for intuitionistic fuzzy sets and its use in group decision making

We apply a new measure of similarity to analyse the extent of agreement in a group of experts. The proposed measure takes into account not only a pure distance between intuitionistic fuzzy preferences but also examines if the compared preferences are more similar or more dissimilar to each other. The agreement of the entire group is assessed via an aggregation of individual testimonies expressed by intuitionistic fuzzy preference relations.

[1]  A. Tversky.  Features of Similarity , 1977 .

[2]  Didier Dubois,et al.  New Results about Properties and Semantics of Fuzzy Set-Theoretic Operators , 1980 .

[3]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[4]  Lotfi A. Zadeh,et al.  A COMPUTATIONAL APPROACH TO FUZZY QUANTIFIERS IN NATURAL LANGUAGES , 1983 .

[5]  L. Zadeh.  A COMPUTATIONAL APPROACH TO FUZZY QUANTIFIERS IN NATURAL LANGUAGES , 1983 .

[6]  J. Kacprzyk.  Group decision making with a fuzzy linguistic majority , 1986 .

[7]  J. Kacprzyk,et al.  A ‘soft’ measure of consensus in the setting of partial (fuzzy) preferences , 1988 .

[8]  J. Kacprzyk,et al.  A `human-consistent' degree of consensus based on fuzzy login with linguistic quantifiers , 1989 .

[9]  J. Kacprzyk,et al.  Group decision making and consensus under fuzzy preferences and fuzzy majority , 1992 .

[10]  Janusz Kacprzyk,et al.  Applications of intuitionistic Fuzzy sets in decision making , 1998 .

[11]  J. Kacprzyk,et al.  Group decision making under intuitionistic fuzzy preference relations , 1998 .

[12]  Janusz Kacprzyk,et al.  Distances between intuitionistic fuzzy sets , 2000, Fuzzy Sets Syst..

[13]  Etienne E. Kerre,et al.  Reasonable properties for the ordering of fuzzy quantities (II) , 2001, Fuzzy Sets Syst..

[14]  Etienne E. Kerre,et al.  Reasonable properties for the ordering of fuzzy quantities (II) , 2001, Fuzzy Sets Syst..

[15]  Janusz Kacprzyk,et al.  Analysis of consensus under intuitionistic fuzzy preferences , 2001, EUSFLAT Conf..

[16]  Janusz Kacprzyk,et al.  Entropy for intuitionistic fuzzy sets , 2001, Fuzzy Sets Syst..

[17]  Li Dengfeng,et al.  New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions , 2002, Pattern Recognit. Lett..

[18]  J. Kacprzyk,et al.  An intuitionistic fuzzy set based approach to intelligent data analysis: an application to medical diagnosis , 2003 .

[19]  B. Loewer,et al.  Destroying the consensus , 2004, Synthese.