基于区间意见的非对称最小成本共识决策问题研究

doi:10.12005/orms.2022.0146

运筹与管理 ›› 2022, Vol. 31 ›› Issue (5): 43-48.DOI: 10.12005/orms.2022.0146

基于区间意见的非对称最小成本共识决策问题研究

程栋¹, 张静阳¹, 袁宇翔², 程发新³

1.东华大学旭日工商管理学院,上海 200051;
2.西安交通大学管理学院,陕西西安 710049;
3.江苏大学管理学院,江苏镇江 212013

收稿日期:2021-01-06 出版日期:2022-05-25 发布日期:2022-07-20
作者简介:程栋(1989-),男,湖北黄冈人,讲师,博士,研究方向:群决策理论与应用,行为共识建模,环境管理等;张静阳(1997-),女,河南周口人,硕士研究生,研究方向:群决策理论与应用。
基金资助:
国家自然科学基金资助项目(71901058,71673118);中央高校基本科研业务专项资金项目(2232018H-07)

Research on Minimum Asymmetric Cost Consensus Problem Based on Interval Opinions

CHENG Dong¹, ZHANG Jing-yang¹, YUAN Yu-xiang², CHENG Fa-xin³

1. Glorious Sun School of Business &Management, Donghua University, Shanghai 200051, China;
2. School of Management, Xi'anJiaotong University, Xi'an 710049, China;
3. School of Management, Jiangsu University, Zhenjiang 212013, China

Received:2021-01-06 Online:2022-05-25 Published:2022-07-20

摘要/Abstract

摘要： 针对已有共识模型大多是基于精确意见且未考虑决策者意见调整方向约束的不足,引入区间型意见,从最优化角度研究了非对称调整成本下的群决策共识模型。首先,基于区间意见构建了非对称最小成本共识模型。其次,考虑到决策者对不同共识水平的实际需求,通过引入软共识测度,提出了基于区间长度的决策者权重分配方法,据此构建了基于区间意见的非对称最小成本软共识模型。最后,通过政府与污染企业之间关于污染减排决策的实例验证了模型的有效性,并进行了灵敏度分析与比较研究。结果表明:(1)同精确值信息相比,区间意见能够缩减共识成本;(2)与对称成本共识模型相比,非对称调整成本的总共识成本不会随着单位调整成本的增加而无限增大。

关键词: 共识决策, 非对称成本, 区间型意见, 最小成本, 软共识, 权重分配

Abstract: Most of the existing consensus models are based on precise opinions and do not consider the direction constraints of adjusting decision makers' opinions. To solve the problem, this article introducesinterval opinions and explores the consensus-reaching problem under the situation ofasymmetric cost from the perspective of optimization adjustment cost. Firstly, an asymmetric minimum cost consensus model is constructed based on interval opinions. Then, considering the actual needs of decision makers for different levels of consensus, a decision-maker weight allocation method based on the length of the interval opinion is proposed by introducing the soft consensus measures, and an asymmetric minimum cost soft consensus model based on the interval opinion is constructed accordingly. Finally, the effectiveness of the model is verified through an example of the decision-making on pollution reduction between the government and polluters, and then a sensitivity analysis and comparative study are conducted. The results show that: (1)Compared with the precise opinions, using interval opinions can reduce the consensus cost; (2)Compared with the symmetric cost, the total consensus cost considering the asymmetric adjustment cost will not increase indefinitely as the unit adjustment cost increases.

Key words: consensus decision-making, asymmetric cost, interval opinion, minimum cost, soft consensus, weight distribution

中图分类号:

F426.2

程栋, 张静阳, 袁宇翔, 程发新. 基于区间意见的非对称最小成本共识决策问题研究[J]. 运筹与管理, 2022, 31(5): 43-48.

CHENG Dong, ZHANG Jing-yang, YUAN Yu-xiang, CHENG Fa-xin. Research on Minimum Asymmetric Cost Consensus Problem Based on Interval Opinions[J]. Operations Research and Management Science, 2022, 31(5): 43-48.

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基于区间意见的非对称最小成本共识决策问题研究

Research on Minimum Asymmetric Cost Consensus Problem Based on Interval Opinions

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