Ranking generalized fuzzy numbers in fuzzy decision making based on the left and right transfer coefficients and areas

NCUIR > School of Management at National Central University > Department of Business Administration > journal & Dissertation > Item 987654321/103104

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/103104

Title:	Ranking generalized fuzzy numbers in fuzzy decision making based on the left and right transfer coefficients and areas
Authors:	沈建文;Yu, Vincent F.;Chi, Ha Thi Xuan;Dat, Luu Quoc;Phuc, Phan Nguyen Ky;Shen, Chien-wen
Contributors:	管理學院企業管理學系
Keywords:	Decision making;Deviation;Fuzzy;Fuzzy logic;Fuzzy set theory;Fuzzy systems;Generalized fuzzy numbers;Mathematical models;MCDM;Ranking
Date:	2013-09-01
Issue Date:	2026-04-23 11:23:24 (UTC+8)
Publisher:	Elsevier Inc.;Elsevier Inc
Abstract:	摘要： Although a number of recent studies have proposed ranking fuzzy numbers based on the deviation degree, most of them have exhibited several shortcomings associated with non-discriminative and counter-intuitive problems. In fact, none of the existing deviation degree methods has guaranteed consistencies between the ranking of fuzzy numbers and that of their images under all situations. They have also ignored decision maker’s attitude toward risk, which significantly influences final ranking result. To overcome the above-mentioned drawbacks, this study proposes a new approach for ranking fuzzy numbers that ensures full consideration for all information of fuzzy numbers. Accordingly, an overall ranking index is obtained by the integration of the information from the left and the right (LR) areas between fuzzy numbers, the centroid points of fuzzy numbers and the decision maker’s attitude toward risk. This new method is efficient for evaluating generalized fuzzy numbers and distinguishing symmetric fuzzy numbers. It also overcomes the shortcomings of the existing approaches based on deviation degree. Several numerical examples are provided to illustrate the superiority of the proposed approach. Lastly, a new fuzzy MCDM approach for generalized fuzzy numbers is proposed based on the proposed ranking approach and the concept of generalized fuzzy numbers. The proposed fuzzy MCDM approach does not require the normalization process and thus avoids the loss of information results from transforming generalized fuzzy numbers to normal form. 出版者： Elsevier Inc 出版日期： 2013-09-01 出處： Applied mathematical modelling, 2013-09, Vol.37 (16-17), p.8106-8117 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2013 Elsevier Inc. 識別號： ISSN: 0307-904X 識別號： DOI: 10.1016/j.apm.2013.03.022
Appears in Collections:	[Department of Business Administration ] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	11	View/Open

社群 sharing

Loading...