An interpretation of intuitionistic fuzzy sets in the framework of the dempster-shafer theory

Authors:
Ludmila Dymova;Pavel Sevastjanov
Affiliations:
Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland;Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland
Venue:
ICAISC'10 Proceedings of the 10th international conference on Artificial intelligence and soft computing: Part I
Year:
2010

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Abstract

A new interpretation of Intuitionistic Fuzzy Sets in the framework of the Dempster-Shafer Theory is proposed. Such interpretation allows us to reduce all mathematical operations on the Intuitionistic Fuzzy values to the operations on belief intervals. The proposed approach is used for the solution of Multiple Criteria Decision Making (MCDM) problem in the Intuitionistic Fuzzy setting.