分布式乘性偏好环境下考虑决策者偏好调整意愿的最优-最劣多准则决策方法

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中文摘要：本文研究了分布式乘性偏好环境下的多准则决策问题。一方面，为了处理乘性偏好多准则决策问题中决策者采用语言等级刻画准则之间偏好强度时，在语言等级的选择上可能存在的犹豫不确定性，以及在采用多个语言等级但对每个语言等级有明确偏好度的问题，首次提出了分布式乘性偏好关系的概念。该偏好关系在刻画决策者关于准则之间的偏好强度时既继承了乘性偏好值的有效性，又解决了决策者在多个可能乘性偏好值之间选择时存在的犹豫问题。另一方面，针对传统Best-Worst Method(BWM)对不满足一致性要求的偏好进行迭代调整时，未考虑决策者自身调整意愿和调整过程复杂、计算工作量大等局限问题，在分布式乘性偏好环境下构建了考虑决策者偏好调整意愿的BWM。该改进的BWM在最大化保留决策者原始偏好的同时，能使偏好快速达到一致性要求。关于某公司商业用车的决策案例验证了本文方法在应用方面的可行性和有效性。

外文标题：Best-worst Multi-criteria Decision-making Method with Decision Maker's Preference Adjustment Willingness under Distributed Multiplicative Preference Environment

外文摘要：Comparison matrices show sound performance when representing the outcomes of pairwise comparisons coming from decision-makers.Over the past decades,numerous researchers have investigated multi-criteria decision-making with different forms of comparison matrices,including multiplicative preference relations,interval multiplicative preference relations and hesitant multiplicative preference relations.But one can also note there are situations where the outlined comparison matrices fail to record decision-makers'prefer-ence information.To address the limitations of the aforesaid preference relations,this study focusses on the multi-criteria decision-making problem under distributed multiplicative preference environment.First,a new way of pairwise comparison called distributed multiplicative preference relations is introduced to address the hesitation on the linguistic term selection of decision makers when they use linguistic variables to depict their preference information of one criterion over another,and the case where decision makers show tendencies to provide some specific degrees on certain linguistic terms in multiplicative preference multi-criteria decision-making.This newly-introduced preference relation not only inherits the superiority of multiplicative preference but also can handle the hesitation of decision makers on the problem of linguistic term selection when being used to express the preferences over criteria.Then,an improved Best-Worst Method(BWM)with distributed multiplicative preferences is proposed by considering decision maker's preference adjustment willingness to overcome such limitations as the neglect of decision maker's willingness,the high computational burden,and the complicated consistency adjustment process of the traditional BWM in managing inconsistent multiplicative preferences.The improved BWM can achieve a predetermined consistency level efficiently in the setting of retaining the original preferences of decision makers to the greatest extent.Finally,a commercial vehicle purchase decision problem is analyzed by using the proposals to demonstrate their feasibility and validity in practice.

外文关键词：

multi-criteria decision-makingBest-worst methoddistributed multiplicative preference relationconsistencypreference adjustment willingness

作者：

杨荣庆、唐孝安、张强、黄挺

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作者单位：

合肥工业大学管理学院,安徽合肥 230009

过程优化与智能决策教育部重点实验室,安徽合肥 230009

智能决策与信息系统技术教育部工程研究中心,安徽合肥 230009

关键词：

多准则决策 BWM 分布式乘性偏好关系一致性偏好调整意愿

基金：

国家自然科学基金项目国家自然科学基金项目国家自然科学基金项目安徽省自然科学基金项目中央高校基本科研业务费专项中央高校基本科研业务费专项

项目编号：

7210107572171069621115300562108085QG289JZ2022HGTB0286PA2021KCPY0030

出版年：

2024

DOI：

10.16381/j.cnki.issn1003-207x.2021.1586

中国管理科学

中国优选法统筹法与经济数学研究会中科院科技政策与管理科学研究所

中国管理科学

CSTPCDCSSCICHSSCD北大核心

影响因子：1.938

ISSN：1003-207X

年,卷(期)：2024.32(7)