Similarity measures of intuitionistic fuzzy sets based on Hausdorff distance

  • Authors:

  • Wen-Liang Hung;Miin-Shen Yang

  • Affiliations:

  • Department of Mathematics Education, National Hsinchu Teachers College, Hsin-Chu 30014, Taiwan, ROC;Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taiwan, ROC

  • Venue:
  • Pattern Recognition Letters
  • Year:
  • 2004

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Abstract

This paper presents a new method for similarity measures between intuitionistic fuzzy sets (IFSs). We will present a method to calculate the distance between IFSs on the basis of the Hausdorff distance. We will then use this distance to generate a new similarity measure to calculate the degree of similarity between IFSs. Finally we will prove some properties of the proposed similarity measure and use several examples to compare the proposed similarity measure with existing methods. Numerical results show that the proposed similarity measure is much simpler than existing methods and is well suited to use with linguistic variables.