一种处理群体决策中个体偏好信息的新方法——一部分共识模型

doi:10.12005/orms.2020.0287

摘要/Abstract

摘要： 共识决策是群决策理论中的一重要分支。为规避群决策中个体的极端评价值, 提升决策结果的总效益, 本文基于最小成本的共识决策模型, 定义了部分共识、共识条件、共识空间的概念, 提出最小成本的部分共识模型, 该模型适用于群决策中单维度（实数、模糊数等）及多维度（区间数、直觉模糊数等）评价值的处理。本文给出共识空间、最优群体观点的求解算法及公式, 通过算例验证方法的实用性。

关键词: 群决策, 共识决策, 部分共识, 直觉模糊数

Abstract: Consensus decision-making is an important branch of group decision-making theory. In order to avoid the extreme value in individuals and improve the total benefit, based on weighted consensus at minimum cost (WCMC) model, this paper defines the concepts of partial consensus, consensus condition and consensus space, and proposes partial consensus model at minimum cost (PCMC) model. The model is applicable for the processing of evaluation values of single dimension (real number, fuzzy number, etc.) and multi-dimension (interval number, intuitionistic fuzzy number, etc.) in group decision making. In this paper, the solution algorithm and formula of consensus space and optimal evaluation values are given, and the practicability of our method is verified by two examples

Key words: group decision making, consensus decision making, partial consensus, intuitionistic fuzzy sets

中图分类号:

C934

张曙阳, 李磊. 一种处理群体决策中个体偏好信息的新方法——一部分共识模型[J]. 运筹与管理, 2020, 29(11): 84-92.

ZHANG Shu-yang, LI Lei. Partial Consensus Model: A New Method to Process Individual Decision Information in Group Decision Making[J]. Operations Research and Management Science, 2020, 29(11): 84-92.

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