基于犹豫模糊二元语义的多属性决策方法

doi:10.12005/orms.2018.0003

运筹与管理 ›› 2018, Vol. 27 ›› Issue (1): 17-22.DOI: 10.12005/orms.2018.0003

基于犹豫模糊二元语义的多属性决策方法

冯向前¹, 刘琦², 魏翠萍³

1.南京师范大学商学院,江苏南京 210023;
2.南京师范大学计算机科学与技术学院,江苏南京 210023;
3.扬州大学数学科学学院,江苏扬州 225002

收稿日期:2016-05-16 出版日期:2018-01-25
作者简介:冯向前(1977-),男,山西晋城,副教授,博士,研究方向:决策理论与方法;刘琦(1992-),女,河南洛阳,硕士生,研究方向:多属性决策方法;魏翠萍(1970-),女,山西长治,教授,博士,研究方向:决策理论与应用、信息融合。
基金资助:
国家自然科学基金资助项目(71371107);江苏省高校自然科学研究项目(16KJB110015);江苏省高校哲学研究项目(2016SJD630014)

Hesitant Fuzzy 2-tuple Linguistic Multiple Attribute Decision Making Method

FENG Xiang-qian¹, LIU Qi², WEI Cui-ping³

1.School of Business, Nanjing Normal University, Nanjing 210023, China;
2.School of Computer Science & Technology, Nanjing Normal University, Nanjing 210023, China;
3.College of Mathematical Sciences, Yangzhou University, Yangzhou 225002, China

Received:2016-05-16 Online:2018-01-25

摘要/Abstract

摘要： 深入研究了犹豫模糊二元语义多属性决策问题。首先利用幂均算子给出了犹豫模糊二元语义集的均值函数,并基于均匀分布概率准则和二元语义的距离测度提出了犹豫模糊二元语义集两两比较的可能度公式,进一步给出了可能度排序公式的性质。针对属性值为犹豫模糊二元语义集的多属性决策问题,提出了一种基于熵权的多属性决策方法。最后结合实际问题,验证了该方法的有效性和可行性。

关键词: 犹豫模糊语言集, 二元语义, 可能度, 熵权

Abstract: The hesitant fuzzy 2-tuple linguistic multiple attribute decision making problem is studied intensively in this paper。 First of all, the mean function of the hesitant fuzzy 2-tuple linguistic set is given based on the power average operator, and the pairwise comparing possibility degree formula of hesitant fuzzy 2-tuple linguistic set of is proposed based on uniform distribution probability criterion and the distance measure of 2-tuple linguistic, and we give the properties of possibility degree ranking formula。 Aiming at the multiple attribute decision making problems with hesitant fuzzy 2-tuple linguistic set, a method based on entropy weight is proposed. Finally, combined with practical problems, the effectiveness and feasibility of the method are verified.

Key words: hesitant fuzzy linguistic set, 2-tuple linguistic, possibility degree, entropy weight

中图分类号:

C934

冯向前, 刘琦, 魏翠萍. 基于犹豫模糊二元语义的多属性决策方法[J]. 运筹与管理, 2018, 27(1): 17-22.

FENG Xiang-qian, LIU Qi, WEI Cui-ping. Hesitant Fuzzy 2-tuple Linguistic Multiple Attribute Decision Making Method[J]. Operations Research and Management Science, 2018, 27(1): 17-22.

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基于犹豫模糊二元语义的多属性决策方法

Hesitant Fuzzy 2-tuple Linguistic Multiple Attribute Decision Making Method

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