基于一致性局部调整算法和DEA的语言偏好决策模型

doi:10.16381/j.cnki.issn1003-207x.2019.12.015

中国管理科学 ›› 2019, Vol. 27 ›› Issue (12): 152-163.doi: 10.16381/j.cnki.issn1003-207x.2019.12.015

基于一致性局部调整算法和DEA的语言偏好决策模型

金飞飞^1,2,3, 倪志伟^2,3, 陈华友⁴, 朱旭辉^2,3, 武文颖^2,3

1. 安徽大学商学院, 安徽合肥 230601;
2. 合肥工业大学管理学院, 安徽合肥 230009;
3. 过程优化与智能决策教育部重点实验室, 安徽合肥 230009;
4. 安徽大学数学科学学院, 安徽合肥 230601

收稿日期:2018-03-29 修回日期:2018-07-04 出版日期:2019-12-20 发布日期:2019-12-30
通讯作者: 倪志伟(1963-),男(汉族),安徽合肥人,合肥工业大学管理学院,教授,博士,博士生导师,研究方向:数据挖掘、智能管理和决策支持系统等,E-mail:zhiwein@163.com. E-mail:zhiwein@163.com
基金资助:
国家自然科学基金资助项目（71901001，91546108，71871001）；国家留学基金委公派研究生资助项目（201706690001）；国家自然科学基金重点资助项目（71490725）；安徽省自然科学基金项目面上项目（1708085MG169）；安徽大学引进人才科研条件建设基金项目（S020118002/085）

Linguistic Preference Decision-Making Model Based on Consistency Local Adjustment Algorithm and DEA

JIN Fei-fei^1,2,3, NI Zhi-wei^2,3, CHEN Hua-you⁴, ZHU Xu-hui^2,3, WU Wen-ying^2,3

1. School of Business, Anhui University, Hefei 230601, China;
2. School of Management, Hefei University of Technology, Hefei 230009, China;
3. Key Laboratory of Process Optimization and Intelligent Decision-Making Ministry of Education, Hefei 230009, China;
4. School of Mathematical Sciences, Anhui University, Hefei 230601, China

Received:2018-03-29 Revised:2018-07-04 Online:2019-12-20 Published:2019-12-30

摘要/Abstract

摘要： 设计一致性调整算法和计算可靠的方案排序权重向量已成为近年来备受关注的两个重要研究课题。针对决策信息为语言偏好关系的决策问题，提出一种基于一致性局部调整算法和数据包络分析（DEA）方法的语言偏好决策模型。首先，基于局部调整策略设计一种收敛的乘性一致性调整算法，该算法不仅使得调整后的语言偏好关系具有满意乘性一致性，而且能够尽可能多的保存原始决策信息；其次，基于提出的新型语言DEA模型构造一种语言偏好决策模型用以确定方案的排序权重向量，进而得到合理可靠的决策结果。最后，将提出的语言偏好决策模型用于供应商的选择实例，对比分析实验验证了模型的合理性和有效性。

关键词: 语言偏好决策模型, 语言偏好关系, 乘性一致性, 局部调整算法, 数据包络分析

Abstract: The linguistic preference relations (LPRs) are useful tool to address situations in which the decision makers (DMs) are more comfortable providing their evaluation information linguistically rather than numerical values. Consistency improvement process and deriving the reliable priority weight vector for alternatives are two significant and challenging issues in decision-making with LPRs. In this paper, a linguistic preference decision-making model is investigated with consistency local adjustment algorithm and data envelopment analysis (DEA). Firstly, the concept of multiplicative consistent LPRs is reviewed. Then, a construction approach of multiplicative consistent LPRs is proposed, and a convergent consistency-improving algorithm for LPRs is designed to transform the unacceptable multiplicative consistent LPRs into the acceptable ones, in which the local adjustment strategy is presented to preserve the DM's original decision-making information as much as possible and use the DM's original information sufficiently. Subsequently, a novel linguistic DEA model is developed to explore the relationship between the relative efficiency scores and the priority weight vector of multiplicative consistent LPRs. Furthermore, the linguistic preference decision-making model is investigated to generate the reliable ranking of the alternatives. Finally, a numerical example of selecting the desirable supplier is provided, and the comparison with existing approaches is performed to validate the rationality and effectiveness of the proposed linguistic preference decision-making model.

Key words: linguistic preference decision-making model, linguistic preference relation, multiplicative consistency, local adjustment algorithm, data envelopment analysis

中图分类号:

C934

金飞飞, 倪志伟, 陈华友, 朱旭辉, 武文颖. 基于一致性局部调整算法和DEA的语言偏好决策模型[J]. 中国管理科学, 2019, 27(12): 152-163.

JIN Fei-fei, NI Zhi-wei, CHEN Hua-you, ZHU Xu-hui, WU Wen-ying. Linguistic Preference Decision-Making Model Based on Consistency Local Adjustment Algorithm and DEA[J]. Chinese Journal of Management Science, 2019, 27(12): 152-163.

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基于一致性局部调整算法和DEA的语言偏好决策模型

Linguistic Preference Decision-Making Model Based on Consistency Local Adjustment Algorithm and DEA

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