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Pythagorean三角模糊语言Hamacher集结算子及其应用

杜玉琴 侯福均 翟玉冰 于倩

运筹与管理2018,Vol.27Issue(3):104-112,9.
运筹与管理2018,Vol.27Issue(3):104-112,9.DOI:10.12005/orms.2018.0065

Pythagorean三角模糊语言Hamacher集结算子及其应用

Pythagorean Triangular Fuzzy Linguistic Hamacher Aggregation Operators and Their Application

杜玉琴 1侯福均 2翟玉冰 2于倩2

作者信息

  • 1. 中国社会科学院大学 经济学院,北京100089
  • 2. 北京理工大学 管理与经济学院,北京100081
  • 折叠

摘要

Abstract

Based on the Pythagorean fuzzy set and Hamacher operator,the Pythagorean triangular fuzzy linguistic Hamacher aggregation operators are studied.Firstly, the definition, the operational laws, score function and accuracy function of the Pythagorean triangular fuzzy linguistic set are proposed.Then, a series of Pythagorean triangular fuzzy linguistic Hamacher aggregation operators are developed,such as the Pythagorean triangular fuzzy linguistic Hamacher weighted average(PTrFLHWA)operator and the Pythagorean triangular fuzzy linguistic Hamacher geometric(PTrFLHWG)operator.Moreover, some properties of these operators are discussed in detail.Afterwards,two new approaches to Pythagorean triangular fuzzy linguistic multi-attribute group decision making are presented based on the proposed operators.Finally, a practical example is given to illustrate the effectiveness of the proposed approaches.

关键词

Pythagorean三角模糊语言变量/多属性群决策/Hamacher算子/集成算子

Key words

pythagorean triangular fuzzy linguistic variable/multi-attribute group decision making/hamacher operator/aggregation operator

分类

管理科学

引用本文复制引用

杜玉琴,侯福均,翟玉冰,于倩..Pythagorean三角模糊语言Hamacher集结算子及其应用[J].运筹与管理,2018,27(3):104-112,9.

基金项目

中国青年政治学院学术创新支持计划项目(189100113) (189100113)

运筹与管理

OA北大核心CHSSCDCSCDCSSCICSTPCD

1007-3221

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