caa a22 4500 605470308 CHVBK 20210128100327.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00500-014-1404-8 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1404-8 A likelihood-based QUALIFLEX method with interval type-2 fuzzy sets for multiple criteria decision analysis [Elektronische Daten] [Jih-Chang Wang, Chueh-Yung Tsao, Ting-Yu Chen] The aim of this paper is to develop a likelihood-based QUALIFLEX method with interval type-2 fuzzy sets for multiple criteria decision analysis. This paper considers the context of interval type-2 trapezoidal fuzzy numbers and also introduces an extended concept of likelihoods of interval type-2 fuzzy preference relations. The concepts of lower and upper likelihoods are presented to serve as lower and upper bounds, respectively, of the possibility of preference relations and then to determine the likelihoods between interval type-2 trapezoidal fuzzy numbers. This paper uses a likelihood-based comparison between evaluative ratings to propose the concepts of concordance indices and comprehensive concordance indices for evaluating the permutations of alternatives corresponding to criterion-by-criterion consistency. By employing the signed distance-based method or the optimal membership-degree-determination method, the best permutation and its corresponding optimal ranking order of the alternatives can be acquired through a comparison of all of the comprehensive concordance indices. The applicability and effectiveness of the proposed method are illustrated with a medical decision-making problem that addresses the selection of treatment options. Additionally, a comparative analysis is performed with some relevant multiple criteria decision-making methods to demonstrate the advantages of the likelihood-based QUALIFLEX method. Finally, an analysis through computational experiments is conducted to examine the implementation efficiency of the proposed method. Springer-Verlag Berlin Heidelberg, 2014 Likelihood nationallicence QUALIFLEX nationallicence Interval type-2 fuzzy set nationallicence Multiple criteria decision analysis nationallicence Comprehensive concordance index nationallicence Comparative analysis nationallicence Wang Jih-Chang Department of Information Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, 333, Taoyuan, Taiwan aut Tsao Chueh-Yung Department of Industrial and Business Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, 333, Taoyuan, Taiwan aut Chen Ting-Yu Department of Industrial and Business Management, Graduate Institute of Business and Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, 333, Taoyuan, Taiwan aut Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2225-2243 1432-7643 19:8<2225 2015 19 500 https://doi.org/10.1007/s00500-014-1404-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1404-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Jih-Chang Department of Information Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, 333, Taoyuan, Taiwan aut NATIONALLICENCE 700 1- Tsao Chueh-Yung Department of Industrial and Business Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, 333, Taoyuan, Taiwan aut NATIONALLICENCE 700 1- Chen Ting-Yu Department of Industrial and Business Management, Graduate Institute of Business and Management, College of Management, Chang Gung University, 259, Wen-Hwa 1st Road, Kwei-Shan, 333, Taoyuan, Taiwan aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/8(2015-08-01), 2225-2243 1432-7643 19:8<2225 2015 19 500