Hierarchical semi-numeric method for pairwise fuzzy group decision making
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) - Tập 32 Số 5 - Trang 691-700 - 2002
Tóm tắt
Gradual improvements to a single-level semi-numeric method, i.e., linguistic labels preference representation by fuzzy sets computation for pairwise fuzzy group decision making are summarized. The method is extended to solve multiple criteria hierarchical structure pairwise fuzzy group decision-making problems. The problems are hierarchically structured into focus, criteria, and alternatives. Decision makers express their evaluations of criteria and alternatives based on each criterion by using linguistic labels. The labels are converted into and processed in triangular fuzzy numbers (TFNs). Evaluations of criteria yield relative criteria weights. Evaluations of the alternatives, based on each criterion, yield a degree of preference for each alternative or a degree of satisfaction for each preference value. By using a neat ordered weighted average (OWA) or a fuzzy weighted average operator, solutions obtained based on each criterion are aggregated into final solutions. The hierarchical semi-numeric method is suitable for solving a larger and more complex pairwise fuzzy group decision-making problem. The proposed method has been verified and applied to solve some real cases and is compared to Saaty's (1996) analytic hierarchy process (AHP) method.
Từ khóa
#Decision making #Fuzzy sets #Computational modeling #Open wireless architecture #Mathematics #Art #HumansTài liệu tham khảo
mon, 1993, fuzzy analytical hierarchy process by <formula> <tex>$\alpha$</tex></formula>-cut approach, Proc 5th IFSA World Congress, 627
marimin, 1990, difs: an expert system for selecting a distribution function, Ind J of Trop Agric, 2, 39
10.1002/int.4550090403
10.1109/3477.662760
10.1109/CDC.1996.574266
saaty, 1980, The Analytic Hierarchy Process
10.1016/0165-0114(94)90344-1
10.1080/00207549108948085
10.1109/HICSS.1994.323485
10.1016/0165-0114(93)90194-M
marimin, 1997, nonnumeric method for pairwise fuzzy group decision making, J Intell Fuzzy Syst, 5, 257, 10.3233/IFS-1997-5307
saaty, 1996, Decision Making with Dependence and Feedback The Analytic Network Process
10.1016/0165-0114(86)90014-X
10.1002/mcda.4020020205
10.1016/0165-0114(81)90003-8
10.1016/0167-9236(88)90019-X
tamura, 1997, on a descriptive analytic hierarchy process (d-ahp) for modeling the legitimacy of rank reversal, Proc Int Conf Methods and Applications of Multicriteria Decision Making, 82
10.1016/0165-0114(92)90107-F
fedrizzi, 1994, consensual dynamics: an unsupervised learning model in group decision making, Proc Int Conf Fuzzy Logic Neural Nets and Soft Computing, 99
fedrizzi, 1993, consensus degrees under fuzzy majorities and preferences using owa (ordered weighted average) operators, Proc 5th IFSA World Congress, 624
10.1016/0165-0114(79)90011-3
10.1016/0020-0255(75)90046-8
10.1007/978-94-009-9838-4_11
10.1109/21.87068
10.1287/mnsc.32.7.841
10.1080/03081079408935212
10.1109/3468.553232
10.1007/BF01384404
10.1016/0305-0483(83)90047-6
10.1016/0148-2963(85)90043-8