毕达哥拉斯群决策方法及其在绿色供应商选取中的应用

doi:10.12005/orms.2019.0198

运筹与管理 ›› 2019, Vol. 28 ›› Issue (9): 47-56.DOI: 10.12005/orms.2019.0198

毕达哥拉斯群决策方法及其在绿色供应商选取中的应用

施明华^1,2,3, 肖庆宪^2,3

1.皖西学院金融与数学学院,安徽六安 237012;
2.上海理工大学管理学院,上海 200093;
3.上海系统科学研究院,上海 200093

收稿日期:2017-08-01 出版日期:2019-09-25
作者简介:施明华(1984-),男,安徽六安人,副教授,博士,研究方向:决策分析与金融风险管理;肖庆宪(1956-),男,河南信阳人,教授,博士生导师,研究方向:决策分析与金融工程。
基金资助:
国家自然科学基金资助项目(11171221);高校博士学科点科研基金资助课题(20133120120002);上海市一流学科系统科学 (SI201YLXK) ;安徽省自然科学基金项目(1908085QG306);安徽省科技创新战略与软科学研究专项项目(1706a02020037);安徽省优秀青年人才基金项目(gxyq2017058)

Pythagorean Group Decision Making Method and Its Application in Green Supplier Selection

SHI Ming-hua^1,2,3, XIAO Qing-xian^2,3

1. College of Finance and Mathematics, West Anhui University, Luan 237012, China;
2. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China;
3. Shanghai Research Institute of Systems Science, Shanghai 200093, China

Received:2017-08-01 Online:2019-09-25

摘要/Abstract

摘要： 针对专家权重未知且属性值为毕达哥拉斯模糊数的多属性群决策问题,基于证据理论和混合加权毕达哥拉斯MSM算子,提出了一种群决策方法。首先,由决策信息矩阵获取专家的模糊测度,并赋予其相应的权重;其次,基于新构造的混合加权毕达哥拉斯MSM算子对专家所提供的属性信息分别进行集结,得到各个专家的综合评价信息;再次,利用证据合成方法,对专家综合评价信息进行融合,获得候选方案的综合证据信息,进而可知备选方案的信任区间,并据此对候选方案进行优选决策;最后,绿色供应商选取案例的分析与对比验证了方法的可行性与合理性。

关键词: 毕达哥拉斯模糊数, 证据理论, MSM算子, 退化性, 幂等性

Abstract: In view of multi attribute group decision making problems in which the attribute valuesare Pythagorean fuzzy numbers and the criteria weights are unknown, a method based on D-S theory and PFHWMSM operator is proposed. Firstly, the expert’s fuzzy measures and weights are obtained from decision information matrix. Then, a Pythagorean fuzzy hybrid weight MSM operator is introduced to aggregate the attribute information, and obtain the comprehensive evaluation information of expert. Then, using the evidence combination method to infuse the comprehensive evaluation information, the comprehensive evidential information is obtained. Moreover, the trust interval of alternatives can be built, which is used for decision making. Finally, the green supply chain selection case analysis and comparison illustrate the feasibility and rationality of the proposed group decision method.

Key words: pythagorean fuzzy number, D-S theory, MSM operator, reducibility, idempotency

中图分类号:

C934

施明华, 肖庆宪. 毕达哥拉斯群决策方法及其在绿色供应商选取中的应用[J]. 运筹与管理, 2019, 28(9): 47-56.

SHI Ming-hua, XIAO Qing-xian. Pythagorean Group Decision Making Method and Its Application in Green Supplier Selection[J]. Operations Research and Management Science, 2019, 28(9): 47-56.

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毕达哥拉斯群决策方法及其在绿色供应商选取中的应用

Pythagorean Group Decision Making Method and Its Application in Green Supplier Selection

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