Additive consistency‐based priority‐generating method of q ‐rung orthopair fuzzy preference relation
Additive consistency‐based priority‐generating method of q ‐rung orthopair fuzzy preference relation
复制标题
基于加性一致性的q-梯级正交对模糊偏好关系的优先级生成方法
DOI：
10.1002/int.22137
复制
发表时间：
2019
影响因子：
7
通讯作者：
Li Luo
中科院分区：
文献类型：
--
作者：
Cheng Zhang;Huchang Liao;Li Luo
隶属函数和非隶属函数均为区间[0，1]的q阶正射模糊集比直觉模糊集和勾股模糊集更能表达决策者的不精确信息。本文的目的是研究一种方法来确定优先权的个人或群体q-横档orthopair模糊偏好关系（q-ROFPRs）。首先，基于决策者给出的方案偏好关系，给出了加性相容q-ROFPR的新定义.之后，根据个人和团体。- ROFPRs，分别提出了两种目标规划模型，生成给定的q阶正射模糊优先权向量。- ROFPR（s）.最后通过两个数值算例说明了本文方法的有效性和优越性。
The q‐rung orthopair fuzzy set, whose membership function and nonmembership function belong to the interval [0,1], is more powerful than both intuitionistic fuzzy set and Pythagorean fuzzy set in expressing imprecise information of decision‐makers. The aim of this paper is to investigate a method to determine the priority weights from individual or group q‐rung orthopair fuzzy preference relations (q‐ROFPRs). To do so, firstly, a new definition of additively consistent q‐ROFPR is presented based on the preference relation of alternatives given by decision‐makers. Afterward, according to individual and group . ‐ROFPRs, two kinds of goal programming models are proposed, respectively, to generate the q‐rung orthopair fuzzy priority weight vector of the given . ‐ROFPR(s). Finally, two numerical examples are given to illustrate the effectiveness and superiority of the method proposed in this paper.