A new multiplicative consistency based method for decision making with triangular fuzzy reciprocal preference relations

作     者：Meng, Fanyong Lin, Jian Tan, Chunqiao Zhang, Qiang 

作者机构：Nanjing Audit Univ Sch Int Audit Nanjing 211815 Jiangsu Peoples R China Cent S Univ Sch Business 932 South Lushan Rd Changsha 410083 Hunan Peoples R China Fujian Agr & Forestry Univ Coll Comp & Informat Fuzhou 350002 Peoples R China Beijing Inst Technol Sch Management & Econ Beijing 100081 Peoples R China 

出 版 物：《FUZZY SETS AND SYSTEMS》 (模糊集与系)

年 卷 期：2017年第315卷

页      面：1-25页

核心收录：

学科分类：07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：State Key Program of National Natural Science of China Projects of Major International Cooperation NSFC National Natural Science Foundation of China [71571192, 71501189, 71201089, 71271217] Postdoctoral Science Special Foundation of China [2015T80901] Innovation-Driven Planning Foundation of Central South University [2016CXS027] Hunan Province Foundation for Distinguished Young Scholars of China [20163-J1024] 

主　　题：Decision analysis TFRPR Quasi TFRPR Consistency analysis Programming model 

摘      要：Triangular fuzzy reciprocal preference relations (TFRPRs) are good choices to denote the decision makers fuzzy preferences. Consistency analysis is a very important topic to preference relations that can avoid the illogical ranking order. However, all previous multiplicative consistency concepts for TFRPRs cannot well address this type of preference relations. To address this issue, this paper introduces a new multiplicative consistency concept for TFRPRs, which can be seen as a natural extension of Tanino s multiplicative consistency concept for reciprocal preference relations. Based on the new consistency concept, 0-1 mixed programming models for judging the multiplicative consistency of TFRPRs are constructed, and an approach for deriving multiplicative consistent TFRPRs is provided. Considering the incomplete case, programming models to determine missing values ate constructed. Subsequently, a multiplicative consistency based method for decision making with TFRPRs is presented that can address the inconsistent and incomplete cases. Meanwhile, illustrative examples are provided to show the concrete application of the proposed procedure, and comparison analysis is also made. (C) 2016 Elsevier B.V. All rights reserved.