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Similarity measures of picture fuzzy sets based on entropy and their application in MCDM

Pattern Analysis and Applications volume 23, pages 1203–1213 (2020)Cite this article

Abstract

An extension of fuzzy sets (Zadeh in Inf Control 8:338–353, 1965) and intuitionistic fuzzy sets (Atanassov in Fuzzy Sets Syst 20(1):87–96, 1986) is called picture fuzzy set (PFS). It is a useful tool to deal with uncertain and inconsistent information. The distance, entropy and similarity measures play a critical role in information theory. The similarity measures of picture fuzzy sets caused by entropy have been studied and given interesting results. In this paper, we first introduced the concept of entropy measure of PFS. At the same time, we also investigated some similarity measures induced by entropy measures and applied to propose the multi-criteria decision-making problem for selecting suppliers.

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Authors and Affiliations

  1. Faculty of Information Technology, Vietnam National University of Agriculture, Trau Quy, Gia Lam, Ha Noi, Vietnam

    Nguyen Xuan Thao

  2. Department of Industrial Management, National Taiwan University of Science and Technology, No 43 Section 4, Keelung Rd., Taipei, 10607, Taiwan, ROC

    Nguyen Xuan Thao

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  1. Nguyen Xuan Thao
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Correspondence to Nguyen Xuan Thao.

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Cite this article

Thao, N.X. Similarity measures of picture fuzzy sets based on entropy and their application in MCDM. Pattern Anal Applic 23, 1203–1213 (2020). https://doi.org/10.1007/s10044-019-00861-9

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  • DOI: https://doi.org/10.1007/s10044-019-00861-9

Keywords

  • Entropy of PFS
  • Similarity measure of PFS
  • MCDM