Pythagorean三角模糊语言Hamacher集结算子及其应用

doi:10.12005/orms.2018.0065

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

Pythagorean三角模糊语言Hamacher集结算子及其应用

杜玉琴^1,2, 侯福均², 翟玉冰², 于倩²

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

收稿日期:2016-07-31 出版日期:2018-03-25
作者简介:杜玉琴(1976年12月),女,满族,籍贯:黑龙江省明水县,讲师,博士,研究方向:多属性决策。
基金资助:
中国青年政治学院学术创新支持计划项目(189100113)

Pythagorean Triangular Fuzzy Linguistic Hamacher Aggregation Operators and Their Application

DU Yu-qin^1,2, HOU Fu-jun², ZHAI Yu-bing², YU-qian²

1.School of Economics, University of Chinese Academy of Social Sciences, Beijing 100089, China;
2.School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

Received:2016-07-31 Online:2018-03-25

摘要/Abstract

摘要： 在Pythagorean模糊集和Hamacher集结算子基础上,研究了Pythagorean三角模糊语言环境下的Hamacher集成算子问题。首先给出了Pythagorean三角模糊语言的定义、运算规则、得分函数、精确函数;其次,介绍了一系列关于Pythagorean三角模糊语言Hamacher集结算子,比如Pythagorean三角模糊语言Hamacher加权平均算子(PTrFLHWA)、Pythagorean三角模糊语言Hamacher加权几何平均算子(PTrFLHWG)等,并研究其具有的性质;之后,提出了两种决策方法来解决Pythagorean三角模糊语言信息环境下的多属性群决策问题;最后,用示例验证所给方法的有效性。

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

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.

Key words: pythagorean triangular fuzzy linguistic variable, multi-attribute group decision making, hamacher operator, aggregation operator

中图分类号:

C934

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.

DU Yu-qin, HOU Fu-jun, ZHAI Yu-bing, YU-qian. Pythagorean Triangular Fuzzy Linguistic Hamacher Aggregation Operators and Their Application[J]. Operations Research and Management Science, 2018, 27(3): 104-112.

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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

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