Non-monotonic fuzzy measures and intuitionistic fuzzy sets

Authors:
Yasuo Narukawa;Vicenç Torra
Affiliations:
Toho Gakuen, Tokyo, Japan;Institut d'Investigació en Intel.ligència Artificial, Bellaterra, Catalonia, Spain
Venue:
MDAI'06 Proceedings of the Third international conference on Modeling Decisions for Artificial Intelligence
Year:
2006

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Abstract

Non-monotonic fuzzy measures induced by an intuitinistic fuzzy set are introduced. Then, using the Choquet integral with respect to the non-monotonic fuzzy measure, the weighted distance between two intuitionistic fuzzy sets is defined. As it will be shown here, under some conditions, the weighted distance coincides with the Hamming distance.