A Consensus Decision-making Approach with Uncertain Linguistic Information Based on Cumulative Consensus Contribution

doi:10.12005/orms.2018.0162

Abstract

Abstract: An adaptive linguistic consensus decision-making approach based on cumulative consensus contribution is presented for group decision-making problems with uncertain additive linguistic preference information. First, the uncertain additive linguistic preferences are transformed into the uncertain 2-tuple preferences. The individual consistency measure and the individual consensus deviation measure are defined, respectively. An optimization model to determine initial weights on experts is established with the help of the above two definitions. Then, the aggregated fuzzy evaluating matrix and the aggregated group preference are constructed by using possibility degree between the two uncertain 2-tuple preferences. The measure of expert cumulative consensus contribution to group and the group consensus measure are developed. By penalizing weights of the least cooperating experts, group consensus is achieved, without forcing the experts to modify their opinions. A group consensus decision-making approach is developed, and a ranking order of alternatives and the best alternative are obtained. Finally, an example study demonstrates the feasibility and effectiveness of the proposed methodology.

Key words: group decision-making, uncertain additive linguistic preference, cumulative consensus contribution, consistency, consensus

摘要： 针对不确定加型语言偏好信息下的群决策问题,提出一种基于累积共识贡献的自适应式语言共识决策方法。首先,将不确定加型语言偏好转化为不确定二元语义偏好,定义个体一致度与个体共识偏度,并利用它们构建确定专家初始权重的优化模型;然后,利用不确定二元语义的可能度构造集结模糊评价矩阵以及方案的集结群体偏好,提出专家累积共识贡献测度和群体共识测度,通过对拥有较少合作的专家权重进行惩罚让群体自适应地达成共识,无需强迫专家修改其观点,提出一种群体共识决策方法对方案排序择优。最后,通过一个算例说明方法的可行性和有效性。

关键词: 群决策, 不确定加型语言偏好, 累积共识贡献, 一致, 共识

CLC Number:

C934

ZHANG Shi-tao, ZHU Jian-jun, LIU Xiao-di, CHANG Zhi-peng. A Consensus Decision-making Approach with Uncertain Linguistic Information Based on Cumulative Consensus Contribution[J]. Operations Research and Management Science, 2018, 27(7): 93-101.

张世涛, 朱建军, 刘小弟, 常志朋. 基于累积共识贡献的不确定语言共识决策方法[J]. 运筹与管理, 2018, 27(7): 93-101.

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