基于证据推理的直觉模糊多属性群决策方法

doi:10.12005/orms.2017.0203

运筹与管理 ›› 2017, Vol. 26 ›› Issue (9): 1-6.DOI: 10.12005/orms.2017.0203

• 理论分析与方法探讨 • 下一篇

基于证据推理的直觉模糊多属性群决策方法

代文锋^1,2, 仲秋雁¹, 贺冬冬¹

1.大连理工大学管理与经济学部,辽宁大连 116024;
2.兰州财经大学信息工程学院,甘肃兰州 730020

收稿日期:2016-01-06 出版日期:2017-09-25
作者简介:代文锋(1978-),男,甘肃庆阳人,博士生,研究方向为决策分析、运筹优化;仲秋雁(1963-),女,辽宁沈阳人,教授,博士生导师,研究方向为管理信息系统、电子政务、应急管理研究;贺冬冬(1986-),男,山东潍坊人,博士生,研究方向:决策分析。

Intuitionistic Fuzzy multi-Attribute Group Decision-making Method Based on Evidential Reasoning

DAI Wen-feng^1,2, ZHONG Qiu-yan¹, HE Dong-dong¹

1.Faculty of Management and Economics, Dalian University of Technology, Dalian 116024, China;
2.School of Information Engineering, Lanzhou University of Finance and Economics, Lanzhou 730020, China

Received:2016-01-06 Online:2017-09-25

摘要/Abstract

摘要： 针对属性值为直觉模糊数的多属性群决策问题,提出了一种证据推理的扩展方法。首先,在考虑主观因素与客观因素的基础上运用直觉模糊熵法计算出属性及专家的综合权重。其次,提出一种基于证据推理的直觉模糊信息融合方法,该方法可以避免由于评价值的隶属度为0而导致的信息丢失现象,弥补了现有直觉模糊信息融合方法存在的不足。在此基础上,集结评价信息并按照备选方案与理想方案的相对贴近度对备选方案进行比选。最后,运用实例验证了所提方法的有效性。

关键词: 证据推理, 直觉模糊集, 直觉模糊熵, 多属性群决策

Abstract: This paper proposes a new decision-making method for the problem of multi-attribute group decision making, in which attribute values are intuitionistic fuzzy numbers. At first, the synthetic weights of attributes and experts are computed by the intuitionistic fuzzy entropy according to the subjective and objective factors. Then, an intuitionistic fuzzy information fusion method based on evidential reasoning is proposed. This method can avoid information loss caused by the membership degree being zero and make up for the shortcomings of the existing fuzzy information fusion methods. Based on this, the evaluation information is aggregated and alternatives are ranked according to the relative closeness coefficients of each alternative to the ideal alternative. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.

Key words: evidential reasoning, intuitionistic fuzzy sets, intuitionistic fuzzy entropy, multi-attribute group decision making

中图分类号:

C934

代文锋, 仲秋雁, 贺冬冬. 基于证据推理的直觉模糊多属性群决策方法[J]. 运筹与管理, 2017, 26(9): 1-6.

DAI Wen-feng, ZHONG Qiu-yan, HE Dong-dong. Intuitionistic Fuzzy multi-Attribute Group Decision-making Method Based on Evidential Reasoning[J]. Operations Research and Management Science, 2017, 26(9): 1-6.

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基于证据推理的直觉模糊多属性群决策方法

Intuitionistic Fuzzy multi-Attribute Group Decision-making Method Based on Evidential Reasoning

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