Similarity measures of intuitionistic fuzzy sets based on L p metric

  • Authors:

  • Wen-Liang Hung;Miin-Shen Yang

  • Affiliations:

  • Graduate Institute of Computer Science, National Hsinchu University of Education, Hsin-Chu, Taiwan;Department of Applied Mathematics, Chung Yuan Christian University, Chung-Li, Taiwan

  • Venue:
  • International Journal of Approximate Reasoning
  • Year:
  • 2007

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Abstract

A similarity measure is a useful tool for determining the similarity of two objects. Since Atanassov [K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986) 87-96.] originated the idea of intuitionistic fuzzy sets (IFSs), many different similarity measures between IFSs have been proposed in the literature. In this paper we propose several reasonable measures to calculate the degree of similarity between IFSs, in which the proposed measures are induced by L"p metric. Numerical examples demonstrate that the proposed similarity measures perform well in pattern recognition problems. Finally, we apply the proposed measures to analyze the behavior of decision making.