Linguistic intuitionistic fuzzy preference relations and their application to multi-criteria decision making
Linguistic intuitionistic fuzzy preference relations and their application to multi-criteria decision making
复制标题
语言直觉模糊偏好关系及其在多标准决策中的应用
DOI：
10.1016/j.inffus.2018.05.001
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发表时间：
2019-03-01
影响因子：
18.6
通讯作者：
Fujita, Hamido
中科院分区：
文献类型：
--
作者：
Meng Fanyong;Tang Jie;Fujita, Hamido
语言直觉模糊集可以看作是直觉模糊集的一种定性形式。这种类型的模糊集使用语言隶属度和语言非隶属度来表示决策者的定性偏好和非偏好判断。偏好关系是一种有效的决策工具，它只要求决策者同时比较两个对象。结合语言直觉模糊集和偏好关系的优点，引入语言直觉模糊偏好关系，并研究其在决策中的应用。为了保证对象排序的合理性，引入了可加一致性的概念，并讨论了它的几个理想性质。为了科普不一致和不完整的LIFPR，编程模型为基础的方法来获得加法一致的LIFPR和确定缺失值，分别构造。最后，给出了一种基于LIFPR的多准则决策方法，并以评价移动的手机的决策问题为例说明了该方法的应用。
Linguistic intuitionistic fuzzy sets can be regarded as a qualitative form of intuitionistic fuzzy sets. This type of fuzzy sets uses a linguistic membership degree and a linguistic non-membership degree to represent the qualitative preferred and non-preferred judgments of decision makers. Preference relation is a useful and efficient tool for decision making that only requires the decision makers to compare two objects at one time. Taking the advantages of linguistic intuitionistic fuzzy sets and preference relations, this paper introduces linguistic intuitionistic fuzzy preference relations (LIFPRs) and studies their application to decision making. To ensure the ranking of objects reasonably, an additive consistency concept is introduced, and several of its desirable properties are discussed. To cope with inconsistent and incomplete LIFPRs, programming model-based methods to derive additively consistent LIFPRs and determine missing values are constructed, respectively. Subsequently, an approach to multi-criteria decision making with LIFPRs is offered, and the application of the new approach is illustrated by using a decision-making problem about evaluating mobile phones.