Modified cosine similarity measure between intuitionistic fuzzy sets

  • Authors:

  • Chao-Ming Hwang;Miin-Shen Yang

  • Affiliations:

  • Department of Applied Mathematics, Chinese Culture University, Taipei, Taiwan;Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taiwan

  • Venue:
  • AICI'12 Proceedings of the 4th international conference on Artificial Intelligence and Computational Intelligence
  • Year:
  • 2012

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Abstract

Similarity of intuitionistic fuzzy sets (IFSs) is an important measure to indicate the similarity degree between IFSs. Recently, Ye (2011) proposed a similarity measure between IFSs based on the cosine concept. Although this cosine similarity measure has good concept and merit, the measure is not satisfied the definition of a similarity between IFSs and not presented well for analyzing IFS data. In this paper, we modify the cosine similarity measure between IFSs. This modified similarity measure between IFSs is not only to satisfy the definition of a similarity between IFSs, but also to improve the efficiency of the Ye's measure. An example is used to demonstrate this phenomenon.