A fuzzy similarity measure based on equivalence relation with application in cluster analysis

Abstract

We propose a novel notion of fuzzy similarity measure between fuzzy sets by using fuzzy equivalence. Furthermore, a similarity base fuzzy relational clustering algorithm is formulated. Applications are given to illustrate the usefulness of the chosen fuzzy equivalence and similarity measure in a partition algorithm.

Keywords:

• Similarity measure
• fuzzy equivalence
• partition algorithm

Acknowledgements

The authors would like to thank the editors and the anonymous reviewers, whose insightful comments and constructive suggestions helped us to significantly improve the quality of this paper.

Notes

No potential conflict of interest was reported by the authors.