An interval-valued intuitionistic fuzzy permutation method with likelihood-based preference functions and its application to multiple criteria decision analysis |
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Affiliation: | 1. Department of Industrial and Business Management, College of Management, Chang Gung University, Taoyuan 33302, Taiwan;2. Graduate Institute of Business and Management, College of Management, Chang Gung University, Taoyuan 33302, Taiwan;3. Department of Nursing, Linkou Chang Gung Memorial Hospital, Taoyuan 33305, Taiwan;1. Graduate Institute of Business and Management, College of Management, Chang Gung University, Guishan District, Taoyuan City 33302, Taiwan;2. Department of Industrial and Business Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd, Guishan District, Taoyuan City 33302, Taiwan;3. Adjunct Research Fellow, Division of Cerebrovascular Disease, Department of Neurology, Linkou Chang Gung Memorial Hospital, Fuxing Street, Guishan District, Taoyuan City, Taiwan |
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Abstract: | This paper presents an interval-valued intuitionistic fuzzy permutation method with likelihood-based preference functions for managing multiple criteria decision analysis based on interval-valued intuitionistic fuzzy sets. First, certain likelihood-based preference functions are proposed using the likelihoods of interval-valued intuitionistic fuzzy preference relationships. Next, selected practical indices of concordance/discordance are established to evaluate all possible permutations of the alternatives. The optimal priority order of the alternatives is determined by comparing all comprehensive concordance/discordance values based on score functions. Furthermore, this paper considers various preference types and develops another interval-valued intuitionistic fuzzy permutation method using programming models to address multiple criteria decision-making problems with incomplete preference information. The feasibility and applicability of the proposed methods are illustrated in the problem of selecting a suitable bridge construction method. Moreover, certain comparative analyses are conducted to verify the advantages of the proposed methods compared with those of other decision-making methods. Finally, the practical effectiveness of the proposed methods is validated with a risk assessment problem in new product development. |
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Keywords: | Permutation method Likelihood-based preference function Multiple criteria decision analysis Interval-valued intuitionistic fuzzy set New product development |
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