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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (4): 108-117.doi: 10.6040/j.issn.1671-9352.4.2019.155

• • 上一篇    

基于梯形模糊数Pythagorean模糊集的熵及决策规则

邵亚斌,王宁   

  1. 重庆邮电大学理学院, 重庆 400065
  • 发布日期:2020-04-09
  • 作者简介:邵亚斌(1974— ),男,博士,教授,研究方向为不确定性处理的数学. E-mail:yb-shao@163.com.
  • 基金资助:
    国家自然科学基金资助项目(61876201,61763044)

Entropy and decision rules based on trapezoidal fuzzy number Pythagorean fuzzy sets

SHAO Ya-bin, WANG Ning   

  1. School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
  • Published:2020-04-09

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摘要： 基于智能决策的需要,将梯形模糊数运用到Pythagorean模糊集中,提出了梯形模糊数Pythagorean模糊集的定义,给出了梯形模糊数Pythagorean模糊熵的4种构造函数和它们的代数性质,并证明了构造的合理性,最后运用梯形模糊数Pythagorean模糊熵给出了一种决策规则与决策模型。

关键词: 梯形模糊数, Pythagorean模糊集, 梯形模糊数Pythagorean模糊熵, 决策规则

Abstract: Based on the needs of intelligent decision making, we combine the trapezoidal fuzzy number with Pythagorean fuzzy sets, and give the notion of trapezoidal fuzzy number Pythagorean fuzzy sets and its entropy measure. We give four kinds of constructive functions for trapezoidal fuzzy number Pythagorean fuzzy sets entropy and prove their algebraic properties. Finally, we provide a decision rule and decision model by using the trapezoidal fuzzy number Pythagorean fuzzy sets entropy.

Key words: trapezoidal fuzzy number, Pythagorean fuzzy set, trapezoidal fuzzy number Pythagorean fuzzy set entropy, decision rule.

中图分类号: 

  • TP301
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