Journal of Jishou University(Natural Sciences Edition)

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Multi-Attribute Decision Making Based on a Hesitant Trapezoidal Fuzzy Bonferroni Mean Operator

HUANG Yongting,CHENG Yangjin,YANG Liu   

  1. (College of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105,Hunan China)
  • Online:2019-05-25 Published:2019-06-04

Abstract:

With respect to the hesitant trapezoidal fuzzy multi-attribute decision making problems (MADM),we consider the interrelationships among expert arguments and combin Bonferroni mean value with the hesitant trapezoidal fuzzy sets (HTrFS),and then we define the hesitant trapezoidal fuzzy Bonferroni mean operator (HTrFBM) and its weighted form.The properties of the operator are discussed according to the hesitant trapezoidal fuzzy operational laws.MASM based on the weighted hesitant trapezoidal fuzzy Bonferroni mean operator (WHTrFBM) is proposed,and the effectiveness of the operator is verified by numerical illustration.

Key words: multi-attribute decision making, hesitant trapezoidal fuzzy number, Bonferroni mean

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