Hesitant Fuzzy Language Decision Making Method Based on 2-tuple

doi:10.12005/orms.2017.0064

Operations Research and Management Science ›› 2017, Vol. 26 ›› Issue (3): 108-114.DOI: 10.12005/orms.2017.0064

• Theory Analysis and Methodology Study • Previous Articles Next Articles

Hesitant Fuzzy Language Decision Making Method Based on 2-tuple

GE Shu-na¹, WEI Cui-ping²

1.Taian NO.19 Senior Middle School, Taian 271000, China;
2.College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China

Received:2014-09-11 Online:2017-03-25

基于二元语义的犹豫模糊语言决策方法

葛淑娜¹, 魏翠萍²

1.泰安第十九中学,山东泰安 271000;
2.扬州大学数学科学学院,江苏扬州 225002

作者简介:葛淑娜(1989-),女,硕士研究生,研究方向:决策理论与应用;魏翠萍(1970-),女,博士,教授,研究方向:决策理论与应用,信息融合。
基金资助:
国家自然科学基金项目(71371107,71171187);山东省自然科学基金项目(ZR20BGMD11);山东省研究生教育创新计划项目(SDYY12053)资助课题

Abstract

Abstract: Hesitant fuzzy linguistic term sets are suitable to deal with the situations where people have hesitancy in providing their linguistic assessments. In order to reduce the loss of information in decision making, an approach based on hesitant fuzzy 2-tuple sets is proposed for multi-attribute decision-making problems. We first introduce the notion of hesitant 2-tuple sets, and develop some operators for hesitant 2-tuple sets. By applying these operators, we get the evaluation information corresponding to each alternative, then the alternatives are ranked by the score function. Finally, an illustrative example is given to demonstrate the practically and effectiveness of the proposed method.

Key words: multi-attribute group decision-making, hesitant fuzzy linguistic term sets, 2-tuple

摘要： 当决策者在给出语言评价信息而表示出犹豫时,决策信息更适合用犹豫模糊语言术语集表达。为了减少语言决策过程中信息的丢失,得到较精准的评价结果,本文提出基于二元语义的犹豫模糊语言决策方法。首先定义了犹豫模糊二元语义集、犹豫模糊二元语义集的均值函数、方差函数及其集结算子,然后用集结算子求出各方案的综合评价值,通过犹豫模糊二元语义的均值函数和方差函数确定方案排序。最后通过实例说明了该方法的实用性和有效性。

关键词: 多属性群决策, 犹豫模糊语言术语集, 二元语义

CLC Number:

90B50

GE Shu-na, WEI Cui-ping. Hesitant Fuzzy Language Decision Making Method Based on 2-tuple[J]. Operations Research and Management Science, 2017, 26(3): 108-114.

葛淑娜, 魏翠萍. 基于二元语义的犹豫模糊语言决策方法[J]. 运筹与管理, 2017, 26(3): 108-114.

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Hesitant Fuzzy Language Decision Making Method Based on 2-tuple

基于二元语义的犹豫模糊语言决策方法

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