犹豫三角模糊语言算子在多属性决策中的应用

英文篇名：Application of Hesitant Trigonometric Fuzzy Language Operator in Multi-attribute Decision Making
作者：于倩 ; 谭玲 ; 沈荃 ; 侯福均
英文作者：Yu Qian;Tan Ling;Shen Quan;Hou Fujun;School of Business Administration, Chongqing University of Science &Technology;School of Management and Economics, Beijing Institute of Technology;
关键词：犹豫三角模糊语言集 ; 得分函数 ; 集成算子 ; 多属性决策
英文关键词：hesitant triangular fuzzy language set;;score function;;aggregation operator;;multi-attribute decision making
中文刊名：TJJC
英文刊名：Statistics & Decision
机构：重庆科技学院工商管理学院;北京理工大学管理与经济学院;
出版日期：2019-03-28 17:31
出版单位：统计与决策
年：2019
期：v.35;No.522
基金：重庆市社科联博士项目(2016BS087)
语种：中文;
页：TJJC201906017
页数：6
CN：06
ISSN：42-1009/C
分类号：72-77

摘要

文章在犹豫模糊集和三角模糊语言集的基础上,定义了犹豫三角模糊语言集的概念。给出犹豫三角模糊语言的运算法则,研究了两种集结算子。由于现实生活中存在着犹豫三角模糊语言集的有序位置具有不同权重的情况,提出了犹豫三角模糊语言有序加权平均(HTFLOWA)算子和犹豫三角模糊语言有序加权几何(HTFLOWG)算子。并讨论了其相应的运算定理。然后构建了犹豫三角模糊语言的得分函数,并在此基础上研究了犹豫三角模糊语言的排序方法。最后,提出了一种基于HTFLWA算子和HTFLWG算子的犹豫三角模糊语言多属性决策方法,并将其应用到绿色供应商的选择中,以此验证了其有效性和合理性。
On the basis of hesitation fuzzy set and trigonometric fuzzy language set, this paper defines the concept of hesitant triangular fuzzy language set, gives the algorithm of hesitation triangular fuzzy language, and studies two aggregation operators. In view of the fact that the ordered position of the triangular fuzzy language set has different weights in real life, this paper comes up with the ordered weighted average(HTFLOWA) operator and the ordered weighted geometric(HTFLOWG) operator of hesitant triangular fuzzy language, and also discusses the corresponding operation theorems. Then the score function of hesitant triangular fuzzy language is constructed, on the basis of which the ranking method of hesitant triangular fuzzy language is studied. Finally, a hesitant triangular fuzzy language multi-attribute decision-making method based on HTFLWA operator and HTFLWG operator are proposed, and also applied to the selection of green suppliers, thus its effectiveness and rationality are validated.

引文

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