New results on a fuzzy granular space

Authors:
Xu-Qing Tang;Kun Zhang
Affiliations:
School of Science, Jiangnan University, Jiangsu Province, China;School of Science, Jiangnan University, Jiangsu Province, China
Venue:
ICSI'11 Proceedings of the Second international conference on Advances in swarm intelligence - Volume Part I
Year:
2011

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Abstract

Based on granular spaces, some relational problems with fuzzy equivalence relations is studied, and three results are obtained as follows. Firstly, the dynamic property of a fuzzy equivalence relation on its granular space is discussed. Secondly, the ordering relationship between fuzzy equivalence relations and their granular spaces is researched, and they are order-preserving. Furthermore, the collaborative clustering of fuzzy equivalence relations on granular spaces by their intersection operation is given, which the collaborative clustering derived from the fuzzy equivalence relations obtained by the intersection operation is a thinner or more precise consistent cluster. These conclusions will help us pursue an even deeper understanding of the essence of granular computing.