Consistency and consensus models for group decision-making with uncertain 2-tuple linguistic preference relations

Consistency and consensus models for group decision-making with uncertain 2-tuple linguistic preference relations
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不确定二元语言偏好关系群体决策的一致性和共识模型

DOI:
10.1080/00207721.2014.999732
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发表时间:
2016-08
影响因子:
4.3
通讯作者:
Chonghui Guo
Chonghui Guo
中科院分区:
计算机科学4区
文献类型:
--
作者:
Zhen Zhang;Chonghui Guo

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由于决策环境的不确定性和知识的缺乏,决策者可能会使用不确定的语言偏好关系来表达他们对备选方案和准则的偏好。对于具有偏好关系的群体决策问题,在集合偏好信息之前,考虑个体的一致性和群体的共识是非常重要的。研究了具有不确定二元语言偏好关系的群决策的一致性模型和一致性模型。首先,给出了从原始偏好关系出发构造相容U2TLPR的公式。基于一致性偏好关系,定义了U2TLPR的个体一致性指数。为了提高U2TLPR的个体一致性,提出了一种迭代算法。为了帮助决策者在不确定语言环境下的群体决策中达成共识,定义了基于U2TLPR的群体决策个体共识指数和群体共识指数。在这两个指标的基础上,给出了基于U2TLPR的群体决策共识达成算法。最后,给出了两个算例来说明所提算法的有效性。
Due to the uncertainty of the decision environment and the lack of knowledge, decision-makers may use uncertain linguistic preference relations to express their preferences over alternatives and criteria. For group decision-making problems with preference relations, it is important to consider the individual consistency and the group consensus before aggregating the preference information. In this paper, consistency and consensus models for group decision-making with uncertain 2-tuple linguistic preference relations (U2TLPRs) are investigated. First of all, a formula which can construct a consistent U2TLPR from the original preference relation is presented. Based on the consistent preference relation, the individual consistency index for a U2TLPR is defined. An iterative algorithm is then developed to improve the individual consistency of a U2TLPR. To help decision-makers reach consensus in group decision-making under uncertain linguistic environment, the individual consensus and group consensus indices for group decision-making with U2TLPRs are defined. Based on the two indices, an algorithm for consensus reaching in group decision-making with U2TLPRs is also developed. Finally, two examples are provided to illustrate the effectiveness of the proposed algorithms.
基于一致性的算法来估计不确定的二元语言偏好关系的缺失元素
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