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《山东大学学报(理学版)》 ›› 2022, Vol. 57 ›› Issue (8): 68-76.doi: 10.6040/j.issn.1671-9352.0.2021.419

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直觉模糊集所诱导的软集语义及其三支决策

巩增泰,他广朋   

  1. 西北师范大学数学与统计学院, 甘肃 兰州 730070
  • 出版日期:2022-08-20 发布日期:2022-06-29
  • 作者简介:巩增泰(1965— ),男,博士,教授,博士生导师,研究方向为模糊分析学和粗糙集理论. E-mail:zt-gong@163.com
  • 基金资助:
    国家自然科学基金资助项目(12061067)

Semantics of the soft set induced by intuitionistic fuzzy set and its three-way decision

GONG Zeng-tai, TA Guang-peng   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Online:2022-08-20 Published:2022-06-29

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摘要： 借助于阴影集,利用直觉模糊参数,将直觉模糊集转化为悲观阴影集和乐观阴影集,提出直觉模糊集悲观三支决策和乐观三支决策,给出直觉模糊集诱导软集的方法。利用三支决策理论,提出软集三支决策定性模型。结合直觉模糊集悲观三支决策和乐观三支决策,利用直觉模糊参数,给出软集三支决策定量模型。

关键词: 三支决策, 软集, 直觉模糊集, 阴影集

Abstract: In this paper, by means of the shadowed set, this paper transforms intuitionistic fuzzy set into pessimistic shadowed set and optimistic shadowed set by using intuitionistic fuzzy parameters, and proposes pessimistic three-way decision and optimistic three-way decision of intuitionistic fuzzy set. The method of inducting soft set by intuitionistic fuzzy set is given, and the qualitative model of three-way decision with soft set is proposed by using three-way decision theory. Combined with pessimistic three-way decision and optimistic three-way decision of intuitionistic fuzzy set, a quantitative model of three-way decision with soft sets is given by using intuitionistic fuzzy parameters.

Key words: three-way decision, soft set, intuitionistic fuzzy set, shadowed set

中图分类号: 

  • O159
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