通过基于价值函数的达成共识过程确定具有代表性的集体价值函数

IF 3.6 4区 管理学 Q2 MANAGEMENT
Kun Zhou, Zaiwu Gong, Xiaoqing Chen, Roman Słowiński
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引用次数: 0

摘要

决策者(DMs)之间达成共识是有效群体决策的重要前提。在共识研究中,确定一个得到主要 DMs 认可的集体价值函数是一个新课题。我们采用偏好分解分析法(PDA)来解决这一问题,从而构建了一个新颖的达成共识过程(CRP)。更确切地说,我们将能够还原所有 DM 偏好信息的价值函数定义为共识价值函数,并通过 PDA 方法确定所有此类价值函数。通过构建共识判别模型来确定 DM 是否能达成共识。考虑到 DM 的调整成本,通过引入估计误差和 0-1 变量,分别构建了最小成本共识模型和最小成本不一致消除模型,从而帮助 DM 达成共识。此外,在从共识空间中选择具有代表性的集体价值函数进行后续决策分析的过程中,应用了词法优化过程,将 DMs 对集体价值函数的个体要求的多目标编程问题转化为多阶段单目标编程问题。这项研究提供了一个新的共识概念,并将经典的最小成本共识模型扩展到了价值函数的情况。最后,介绍了一个示例,展示了所建议的 CRP 的实际应用,同时进行了敏感性分析,以探讨参数变化对模型的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Determination of a Representative Collective Value Function Through a Value Function-Based Consensus-Reaching Process

Consensus-reaching among decision-makers (DMs) is an important prerequisite for effective group decision-making. Determining a collective value function that is recognized by major DMs is new in consensus research. We are approaching this problem by adopting the preference disaggregation analysis (PDA) to construct a novel consensus-reaching process (CRP). More precisely, we define the value function that can restore the preference information of all DMs as the consensus value function, and determine all such value functions by the PDA method. A consensus discriminant model is constructed to determine whether DMs can reach a consensus. Considering the adjustment cost of DMs, the minimum cost consensus model, and the minimum cost inconsistency elimination model, are constructed by introducing estimation errors and 0–1 variables, respectively, thus assisting DMs to reach a consensus. Furthermore, in the process of selecting a representative collective value function from the consensus space for subsequent decision analysis, a lexicographic optimization process is applied to convert the multi-objective programming problem of DMs’ individual requirements for the collective value function into a multi-stage single-objective programming problem. This study provides a new concept of consensus and extends the classic minimum cost consensus model to the case of value functions. Finally, an illustrative example showing the proposed CRP in action is presented, while conducting sensitivity analysis to explore the impact of parameter changes on the model.

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来源期刊
CiteScore
5.70
自引率
6.70%
发文量
32
期刊介绍: The idea underlying the journal, Group Decision and Negotiation, emerges from evolving, unifying approaches to group decision and negotiation processes. These processes are complex and self-organizing involving multiplayer, multicriteria, ill-structured, evolving, dynamic problems. Approaches include (1) computer group decision and negotiation support systems (GDNSS), (2) artificial intelligence and management science, (3) applied game theory, experiment and social choice, and (4) cognitive/behavioral sciences in group decision and negotiation. A number of research studies combine two or more of these fields. The journal provides a publication vehicle for theoretical and empirical research, and real-world applications and case studies. In defining the domain of group decision and negotiation, the term `group'' is interpreted to comprise all multiplayer contexts. Thus, organizational decision support systems providing organization-wide support are included. Group decision and negotiation refers to the whole process or flow of activities relevant to group decision and negotiation, not only to the final choice itself, e.g. scanning, communication and information sharing, problem definition (representation) and evolution, alternative generation and social-emotional interaction. Descriptive, normative and design viewpoints are of interest. Thus, Group Decision and Negotiation deals broadly with relation and coordination in group processes. Areas of application include intraorganizational coordination (as in operations management and integrated design, production, finance, marketing and distribution, e.g. as in new products and global coordination), computer supported collaborative work, labor-management negotiations, interorganizational negotiations, (business, government and nonprofits -- e.g. joint ventures), international (intercultural) negotiations, environmental negotiations, etc. The journal also covers developments of software f or group decision and negotiation.
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