Fuzzy mathematical programming approach to heterogeneous multiattribute decision-making with interval-valued intuitionistic fuzzy truth degrees

作     者：Wan, Shu-Ping Li, Deng-Feng 

作者机构：Fuzhou Univ Sch Econ & Management Fuzhou 350108 Fujian Peoples R China Jiangxi Univ Finance & Econ Coll Informat Technol Nanchang 330013 Peoples R China 

出 版 物：《INFORMATION SCIENCES》 (信息科学)

年 卷 期：2015年第325卷

页      面：484-503页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China [71231003, 71061006, 61263018, 71171055, 71001015, 11461030] Program for New Century Excellent Talents in University (the Ministry of Education of China) [NCET-10-0020] Specialized Research Fund for the Doctoral Program of Higher Education of China Humanities Social Science Programming Project of Ministry of Education of China [09YGC630107] Natural Science Foundation of Jiangxi Province of China [20114BAB201012, 20142BAB201011] Science and Technology Project of Jiangxi province educational Department of China [GJJ12265] "Twelve five" Programming Project of Jiangxi province Social Science [13GL17] Excellent Young Academic Talent Support Program of Jiangxi University of Finance and Economics 

主　　题：Multiattribute decision-making Fuzzy mathematical programming Interval-valued intuitionistic fuzzy set Linear Programming Technique for Multidimensional Analysis of Preference Green supply chain 

摘      要：Considering the hesitancy degrees on pair-wise comparisons of alternatives as interval-valued intuitionistic fuzzy (IVIF) sets (IVIFSs), we develop a new fuzzy mathematical programming method for solving heterogeneous multiattribute decision-making problems based on the Linear Programming Technique for Multidimensional Analysis of Preference. In this method, IVIFSs, intuitionistic fuzzy sets (IFSs), trapezoidal fuzzy numbers, linguistic variables, intervals and real numbers are used to represent multiple types of attribute values and the attribute weights are not completely known. The preference relations between alternatives given by decision maker are expressed with IVIFSs of ordered pairs of alternatives. The consistency and inconsistency indices are defined as IVIFSs on the basis of comparisons of alternatives with IVIF truth degrees. The attribute weights and fuzzy ideal solution (FIS) are estimated through constructing a fuzzy mathematical programming model, which is solved by the technically developed method of IVIF mathematical programming. Hereby the distances of alternatives to the FIS are computed to rank the alternatives. Some generalization and discussion on the constructed IVIF mathematical programming model are also presented. A green supplier selection example is provided to illustrate the effectiveness of the proposed model and method. The comparison analyses verify the superiorities of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.