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Multiplicative consistency analysis for q‐rung orthopair fuzzy preference relation
Author(s) -
Zhang Cheng,
Liao Huchang,
Luo Li,
Xu Zeshui
Publication year - 2020
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22197
Subject(s) - multiplicative function , consistency (knowledge bases) , preference , fuzzy logic , preference relation , mathematics , relation (database) , set (abstract data type) , fuzzy set , computer science , mathematical optimization , data mining , statistics , artificial intelligence , discrete mathematics , mathematical analysis , programming language
The q‐rung orthopair fuzzy set is characterized by membership and nonmembership functions, and the sum of the q th 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.