Incomplete linguistic preference relations and their fusion
Incomplete linguistic preference relations and their fusion
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DOI：
10.1016/j.inffus.2005.01.003
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发表时间：
2006-09
期刊：
影响因子：
--
通讯作者：
Zeshui Xu
中科院分区：
文献类型：
--
作者：
Zeshui Xu
引入了不完全语言偏好关系、相容不完全语言偏好关系和可接受不完全语言偏好关系等多种语言偏好关系.研究了不完全语言偏好关系的一些性质。基于语言评价尺度的运算规律和可接受的最少判断的不完全语言偏好关系，利用可加传递性给出了一种构造相容的完全语言偏好关系的简单实用的方法.该方法不仅减轻了决策者的时间压力，充分利用了决策者提供的偏好信息，而且保持了决策者的一致性水平，避免了对语言偏好关系的一致性检查。在此基础上，提出了一种基于不完全语言偏好关系的多人决策方法.该方法利用个体可接受的不完全语言偏好关系，以最少的判断构建出一致的完全语言偏好关系，并将其融合为一个集合的完全语言偏好关系，进而聚合每个决策方案所对应的整体信息。最后,给出了一个例证.
Various linguistic preference relations, including incomplete linguistic preference relation, consistent incomplete linguistic preference relation and acceptable incomplete linguistic preference relation, are introduced. Some desirable properties of the incomplete linguistic preference relation are studied. Based on the operational laws of the linguistic evaluation scale, and the acceptable incomplete linguistic preference relation with the least judgments, we develop a simple and practical method for constructing a consistent complete linguistic preference relation by using the additive transitivity property. The method not only relieves the decision maker of time pressure and makes sufficiently using of the provided preference information, but also maintains the decision maker’s consistency level and avoids checking the consistency of linguistic preference relation. Furthermore, an approach to multi-person decision making based on incomplete linguistic preference relations is developed. The approach fuses all the consistent complete linguistic preference relations, constructed by using the individual acceptable incomplete linguistic preference relations with the least judgments, into a collective complete linguistic preference relation, and then the overall information corresponding to each decision alternative is aggregated. Finally, an illustrative example is given.