Multiplicative consistency analysis for q‐rung orthopair fuzzy preference relation
Multiplicative consistency analysis for q‐rung orthopair fuzzy preference relation
复制标题
q-梯级正交对模糊偏好关系的乘性一致性分析
DOI：
10.1002/int.22197
复制
发表时间：
2020-01
影响因子：
7
通讯作者：
Zeshui Xu
中科院分区：
文献类型：
--
作者：
Cheng Zhang;Huchang Liao;Li Luo;Zeshui Xu
The q‐rung orthopair fuzzy set is characterized by membership and nonmembership functions, and the sum of the qth power of them is less than or equal to.one. Since it releases the constraints existed in both intuitionistic fuzzy set and Pythagorean fuzzy set, it has wide applications in real cases. However, so far, there is little research on the multiplicative consistency of q‐rung orthopair fuzzy preference relation (q‐ROFPR). To fill this vacancy, this paper provides a detailed analysis on the multiplicative consistency of q‐ROFPR. First, we investigate the concept of multiplicative consistent q‐ROFPR and its properties. Subsequently, two goal programming models are proposed to derive the priorities from individual and group q‐ROFPRs, respectively. After that, a novel consistency‐improving algorithm for q‐ROFPR and a weight‐generating method for decision‐makers are discussed in detail, based on which, a novel group.decision‐making method is proposed. Finally, a case study concerning the evaluation of rehabilitation program selection is given to illustrate the applicability of the proposed method. The effectiveness and superiority of the proposed method are verified by comparing it with some existing methods.
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DOI：
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