ICSI 2011: Advances in Swarm Intelligence pp 568-577 | Cite as

New Results on a Fuzzy Granular Space

  • Xu-Qing Tang
  • Kun Zhang
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6728)

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.

Keywords

Granular Computing Fuzzy Equivalence Relation Fuzzy Granular Space Ordering Relationship Collaborative Clustering 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Xu-Qing Tang
    • 1
  • Kun Zhang
    • 1
  1. 1.School of ScienceJiangnan UniversityWuxiChina

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