基于证据理论和Vague集的多属性群决策方法研究

doi:10.12005/orms.2021.0341

运筹与管理 ›› 2021, Vol. 30 ›› Issue (11): 1-5.DOI: 10.12005/orms.2021.0341

• 理论分析与方法探讨 • 下一篇

基于证据理论和Vague集的多属性群决策方法研究

崔春生^1,2, 曹艳丽¹, 邱闯闯¹, 郭玉洁¹, 王美琦¹, 臧振春³

1.河南财经政法大学计算机与信息工程学院,河南郑州 450046;
2.河南财经政法大学政府经济发展与社会管理创新研究中心,河南郑州 450046;
3.周口师范学院数学与统计学院,河南周口 466001

收稿日期:2020-09-30 出版日期:2021-11-25
通讯作者: 臧振春(1964-) ,男,博士,教授,研究方向:优化与决策。
作者简介:崔春生(1974-),男,博士,教授,研究方向:推荐系统; 曹艳丽(1996-),女,硕士,研究方向:不确定性决策;邱闯闯(1997-),男,硕士,研究方向:模糊决策; 郭玉洁(1997-),女,硕士,研究方向:决策分析;王美琦(1997-),女,硕士,研究方向:犹豫模糊决策。
基金资助:
2020年度河南高校哲学社会科学应用研究重大项目计划(2020-YYZD-02);2020年度河南省哲学社会科学规划项目(2020BJJ041);2021年度河南省教育厅人文社会科学研究一般项目(2021-ZZJH-020);2021年度河南省高等学校重点科研项目联合资助(21A520021)

Research on Multi-attribute Group Decision-making Method Based on Evidence Theory and Vague Sets

CUI Chun-sheng^1,2, CAO Yan-li¹, QIU Chuang-chuang¹, GUO Yu-jie¹, WANG Mei-qi¹, ZANG Zhen-chun³

1. Department of Computer and Information Engineering, Henan University of Economics and Law, Zhengzhou 450046, China;
2. Research Center for Government Economics Development and Social Management Innovation, Henan University of Economics and Law, Zhengzhou 450046, China;
3. School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China

Received:2020-09-30 Online:2021-11-25

摘要/Abstract

摘要： 为了解决人们在复杂环境中决策困难的问题,论文基于Vague集描述不确定事物的优势,通过证据理论对Vague集进行合成,得到一种信息集结的多属性群决策方法。该算法首先考虑专家评分的可信度,在分析Vague集与证据理论的数学关系后,使用证据理论将各方案在各属性下的专家集证据集结。然后通过Vague集记分函数进行属性权重的计算,将方案集在属性集下的Vague评价值进行加权修正,再通过证据理论将属性集证据集结得到各方案最终的Vague评价值。之后使用记分函数计算每一方案的得分来确定最优方案。最后通过算例进一步说明所提方法的可行性与有效性。文章给出的算法使决策者在不确定环境下可以进行理性决策,从而选出最优方案。

关键词: Vague集, 证据理论, 多属性群决策, 记分函数

Abstract: In order to solve the problem of difficult decision-making in complex environments, a multi-attribute group decision-making method based on Vague sets and evidence theory is proposed. Vague sets have the advantage of describing uncertain information. Evidence theory can fuse the information of Vague sets. Firstly, after considering the credibility of expert evaluation information, this paper uses evidence theory to fuse the evaluation information of expert set under the analysis of mathematical relationship between Vague sets and evidence theory. Secondly, the weight of every attribute can be obtained through the use of score function and the Vague evaluation value of every solution under all attributes can be corrected through weighted average algorithm. Then, evidence theory is used to fuse the evaluation information of attribute set. Thirdly, the optimal solution is determined according to the score of every solution obtained from the score function. Finally, an example is used to further illustrate the feasibility and effectiveness of the proposed method. The decision-makers can make decisions rationally and select the optimal solution through the algorithm given in the paper.

Key words: vague sets, evidence theory, multi-attribute group decision-making, score function

中图分类号:

C934

崔春生, 曹艳丽, 邱闯闯, 郭玉洁, 王美琦, 臧振春. 基于证据理论和Vague集的多属性群决策方法研究[J]. 运筹与管理, 2021, 30(11): 1-5.

CUI Chun-sheng, CAO Yan-li, QIU Chuang-chuang, GUO Yu-jie, WANG Mei-qi, ZANG Zhen-chun. Research on Multi-attribute Group Decision-making Method Based on Evidence Theory and Vague Sets[J]. Operations Research and Management Science, 2021, 30(11): 1-5.

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基于证据理论和Vague集的多属性群决策方法研究

Research on Multi-attribute Group Decision-making Method Based on Evidence Theory and Vague Sets

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