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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/32466

Title: Fuzzy MCDM based on the concept of α-cut
Authors: Gin-Shuh Liang;Ji-Feng Ding
Contributors: NTOU:Department of Shipping and Transportation Management
國立臺灣海洋大學:航運管理學系
Keywords: triangular fuzzy numbers;α-cut;fuzzy ranking;fuzzy MCDM
Date: 2003-11
Issue Date: 2012-06-18T05:50:55Z
Publisher: Journal of Multi-Criteria Decision Analysis
Abstract: Abstract:In a fuzzy multiple criteria decision-making (MCDM) problem, with a hierarchical structure of more than two levels and involving multiple decision-makers (DMs), to find the exact membership functions of the final aggregation ratings of all feasible alternatives is almost impossible. Thus, ranking methods based on exact membership functions cannot be utilized to rank the feasible alternatives and complete the optimal selection. To resolve the above-mentioned complexity and to incorporate assessments of all DMs' viewpoints, in this paper a fuzzy MCDM method with multiple DMs, based on the concepts of fuzzy set theory and α-cut, is developed. This method incorporates a number of perspectives on how to approach the fuzzy MCDM problem with multiple DMs, as follows: (1) combining quantitative and qualitative criteria as well as negative and positive ones; (2) using the generalized means to develop the aggregation method of multiple DMs' opinions; (3) incorporating the risk attitude index β to convey the total risk attitude of all DMs by using the estimation data obtained at the data input stage; (4) employing the algebraic operations of fuzzy numbers based on the concept of α-cut to calculate the final aggregation ratings and develop a matching ranking method for proposed fuzzy MCDM method with multiple DMs. Furthermore, we use this method to survey the site selection for free port zone (FPZ) in Taiwan as an empirical study to demonstrate the proposed fuzzy MCDM algorithm. The result of this empirical investigation shows that the port of Kaohsiung, the largest international port of Taiwan as well as the sixth container port in the world in 2004, is optimal for the Taiwan government in enacting the plan of FPZ.
Relation: 12(6), pp.299–310
URI: http://ntour.ntou.edu.tw/handle/987654321/32466
Appears in Collections:[航運管理學系] 期刊論文

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