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直觉梯形模糊语言Franh算子及其在决策中的应用

翟玉冰 侯福均 杜玉琴 于倩

运筹与管理2018,Vol.27Issue(4):29-34,38,7.
运筹与管理2018,Vol.27Issue(4):29-34,38,7.DOI:10.12005/orms.2018.0081

直觉梯形模糊语言Franh算子及其在决策中的应用

Intuitionistic Trapezoidal Fuzzy Linguistic Frank Operator and Its Application in Decision Making

翟玉冰 1侯福均 1杜玉琴 2于倩3

作者信息

  • 1. 北京理工大学 管理与经济学院,北京100081
  • 2. 中国社会科学院大学 经济学院,北京102488
  • 3. 重庆科技学院 工商管理学院,重庆401331
  • 折叠

摘要

Abstract

Based on the set of intuitionistic trapezoidal fuzzy linguistic,this paper introduces the Franh operator and proposes a new set of operators-intuitionistic trapezoidal fuzzy linguistic Franh assembly operators, and applies it to multi -attribute decision-mahing.Firstly, we give the concept of the formula, the corresponding operation rules,the scoring function,the exact function and the size comparison method of the Franh operator in the intuitionistic trapezoidal fuzzy linguistic environment.Then we propose the intuitionistic trapezoidal fuzzy lin-guistic Franh weighted arithmetic(ITrFLFWA)operator,intuitionistic trapezoidal fuzzy linguistic Franh weighted geometric(ITrFLFWG)operator, intuitionistic trapezoidal fuzzy linguistic generalized Franh weighted average (ITrFLGFWA)operator, etc., and prove its properties such as idempotency, boundedness, monotonicity. Finally,the decision-mahing method of the based and integrated operator is given,and the decision of the invest-ment banh is given,which proves the validity of the method we propose.This method can be widely used in vari-ous combinations of investment decisions,rish decisions,supplier selection,and so on.

关键词

直觉梯形模糊语言集/Franh算子/信息集成算子/多属性决策

Key words

intuitionistic trapezoidal fuzzy linguistic set/franh operator/information integration operator/multiple attribute decision mahing

分类

管理科学

引用本文复制引用

翟玉冰,侯福均,杜玉琴,于倩..直觉梯形模糊语言Franh算子及其在决策中的应用[J].运筹与管理,2018,27(4):29-34,38,7.

基金项目

国家自然科学基金资助项目(71571019) (71571019)

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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