考虑多个子群意见的多要素大群体决策方法

doi:10.12068/j.issn.1005-3026.2020.12.017

东北大学学报:自然科学版 ›› 2020, Vol. 41 ›› Issue (12): 1781-1787.DOI: 10.12068/j.issn.1005-3026.2020.12.017

考虑多个子群意见的多要素大群体决策方法

李铭洋¹，王爽¹，曹萍萍^1,2，赵晓杰³

(1. 辽宁大学商学院，辽宁沈阳110136; 2. 中国刑事警察学院基础教研部，辽宁沈阳110854; 3. 大连理工大学经济管理学院，辽宁大连116024)

收稿日期:2019-10-10 修回日期:2019-10-10 出版日期:2020-12-15 发布日期:2020-12-22
通讯作者: 李铭洋
作者简介:李铭洋(1980-)，男，锡伯族，辽宁沈阳人，辽宁大学副教授，博士生导师.
基金资助:
国家自然科学基金资助项目(71503266)；教育部人文社会科学研究规划基金资助项目(19YJA630037)；公安部公安理论与软科学研究计划项目(2018LLYJXJXY054)；辽宁省社会科学规划基金重点项目(L17AGL001)；辽宁省教育厅科学研究项目(LQN201922).

Method for Large Group Decision-Making with Multiple Elements Considering Multiple Subgroup Opinions

LI Ming-yang¹， WANG Shuang¹， CAO Ping-ping^1,2， ZHAO Xiao-jie³

1. Business School， Liaoning University， Shenyang 110136， China; 2. Department of Basic Teaching and Research， Criminal Investigation Police University of China， Shenyang 110854， China; 3. School of Economics and Management， Dalian University of Technology， Dalian 116024， China.

Received:2019-10-10 Revised:2019-10-10 Online:2020-12-15 Published:2020-12-22
Contact: CAO Ping-ping
About author:-
Supported by:
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摘要/Abstract

摘要： 针对存在多个子群的多要素大群体决策问题，提出一种决策分析方法.首先，依据参与决策的个体针对方案构成要素的排序，计算各要素针对各参与个体的borda分值.其次，构建要素针对各子群的平均borda分值向量，再将其归一化后作为针对各子群的虚拟方案.然后，考虑到各子群的评估一致性存在差异，计算各子群的权重.进一步地，计算各虚拟方案与各备选方案之间的贴近度，并将其与各子群权重相集结，得到针对各备选方案的综合贴近度，并据此对备选方案进行排序.最后，通过一个考虑公众意愿的城市公园设计方案选择问题的算例说明了所提出方法的可用性.

关键词: 大群体决策, 子群, borda分值, 评估一致性, 贴近度

Abstract: A decision analysis method is proposed for large group decision-making with multiple elements. Firstly， the borda score of each element for each participant is calculated according to the rankings of the constituent elements of the alternatives by the individuals participating in decision-making. Secondly， the average borda score vector of each subgroup is constructed and normalized as a virtual alternative for each subgroup. Then， the weight of each subgroup is calculated considering the differences in the consensus of evaluations of each subgroup. Furthermore， the similarity degree between each virtual solution and each alternative is calculated and aggregated with the weight of each subgroup to obtain the comprehensive similarity degree for each alternative， and then the alternative is ranked accordingly. Finally， the feasibility of the proposed method is illustrated by an example of urban park design alternative selection considering the public will.

Key words: large group decision-making, subgroup, borda score, consensus of evaluations, similarity degree

中图分类号:

C934

李铭洋，王爽，曹萍萍，赵晓杰. 考虑多个子群意见的多要素大群体决策方法[J]. 东北大学学报:自然科学版, 2020, 41(12): 1781-1787.

LI Ming-yang， WANG Shuang， CAO Ping-ping， ZHAO Xiao-jie. Method for Large Group Decision-Making with Multiple Elements Considering Multiple Subgroup Opinions[J]. Journal of Northeastern University Natural Science, 2020, 41(12): 1781-1787.

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考虑多个子群意见的多要素大群体决策方法

Method for Large Group Decision-Making with Multiple Elements Considering Multiple Subgroup Opinions

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