Fuzzy measures and granular computing

Authors:
Ling Zhang;Bo Zhang
Affiliations:
School of Computer Science and Technology, Anhui University, Hefei, China and Tsinghua National Lab for Information Science and Technology, Tsinghua University, Beijing, China;School of Computer Science and Technology, Anhui University, Hefei, China and Tsinghua National Lab for Information Science and Technology, Tsinghua University, Beijing, China
Venue:
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Year:
2010

Citing 14
Cited 0

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Abstract

From the view point of granular computing, by analyzing the structure of fuzzy measures based on the quotient space analytical method, we have the following results: (1) the necessary and sufficient condition of the isomorphism of fuzzy measure functions in fuzzy mathematics; (2) the necessary and sufficient condition of the fuzzy and granular monotony of fuzzy measures. The results open out the essence of fuzzy measures and provide a simple way to constructing fuzzy measures. The results also show that the quotient space analytical method is ubiquitous and effective in many fields.