VIKOR Multi-attribute Decision Approach With the Aid of A Novel Picture Fuzzy Distance

doi:10.12005/orms.2022.0147

Operations Research and Management Science ›› 2022, Vol. 31 ›› Issue (5): 49-54.DOI: 10.12005/orms.2022.0147

• Theory Analysis and Methodology Study • Previous Articles Next Articles

VIKOR Multi-attribute Decision Approach With the Aid of A Novel Picture Fuzzy Distance

WANG Lei^1,2, YAO Xing-na²

1. Department of Basic Teaching, Liaoning Technical University, Huludao 125105, China;
2. College of Science, Liaoning Technical University, Fuxin 123000, China

Received:2020-03-16 Online:2022-05-25 Published:2022-07-20

基于一类新的Picture模糊距离的VIKOR多属性决策方法

王磊^1,2, 姚星娜²

1.辽宁工程技术大学基础教学部,辽宁葫芦岛 125105;
2.辽宁工程技术大学理学院,辽宁阜新 123000

作者简介:王磊(1978-),男,黑龙江鸡西人,副教授,博士,研究方向:不确定性决策理论与方法,模糊微分系统;姚星娜(1996-),女,内蒙古乌兰察布人,硕士研究生,研究方向:模糊决策。
基金资助:
辽宁省教育厅科学研究经费项目( LJ2019QL014,LJ2020JCL018)

Abstract

Abstract: Considering the deficiencies of the existing Picture fuzzy distance, a novel Picture fuzzy distance with parameter is established in this paper, which can portray the preference of decision makers. Then the established novel distance is extended to the multi-attribute compromise solution sorting approach (VIKOR). The novel distance is employed to compute the whole benefit value and individual regret value for every alternative, and then the decision making outcome is determined. Finally, an example is provided to show the effectiveness and merits of the established approach, and the sensitivity analysis is also conducted.

Key words: picture fuzzy number, multi-attribute decision making, picture fuzzy number distance, VIKOR method

摘要： 针对现有Picture模糊距离的不足。本文构建了一种带有参数的Picture模糊距离,该参数能够反映决策者的态度偏好。其次,将新距离拓展到多准则妥协解排序法(VIKOR)中,并利用新距离计算各备选方案的群体效益值和个体遗憾值进而获得决策结果。最后,通过算例验证所提决策方法的有效性和优点,并对参数进行灵敏度分析。

关键词: Picture模糊数, 多属性决策, Picture模糊数距离, VIKOR方法

CLC Number:

C934

WANG Lei, YAO Xing-na. VIKOR Multi-attribute Decision Approach With the Aid of A Novel Picture Fuzzy Distance[J]. Operations Research and Management Science, 2022, 31(5): 49-54.

王磊, 姚星娜. 基于一类新的Picture模糊距离的VIKOR多属性决策方法[J]. 运筹与管理, 2022, 31(5): 49-54.

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VIKOR Multi-attribute Decision Approach With the Aid of A Novel Picture Fuzzy Distance

基于一类新的Picture模糊距离的VIKOR多属性决策方法

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