An interval arithmetic based fuzzy TOPSIS model

被引:85
作者
Chu, Ta-Chung [1 ]
Lin, Yi-Chen [1 ,2 ]
机构
[1] So Taiwan Univ, Dept Management & Informat Technol, Yung Kang, Taiwan
[2] Natl Univ Tainun, Grad Inst Technol, Tainun, Taiwan
关键词
Fuzzy TOPSIS; Normalization; Interval arithmetic; Ranking; GROUP DECISION-MAKING; ANTI-IDEAL POINTS; WEIGHTED AVERAGE; MULTICRITERIA ANALYSIS; PROGRAMMING APPROACH; ENVIRONMENT; RANKING; NUMBERS; EXTENSION; ALGORITHM;
D O I
10.1016/j.eswa.2009.01.083
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This work suggests a fuzzy TOPSIS model, where ratings of alternatives under criteria and importance weights of criteria are assessed in linguistic values represented by fuzzy numbers. Criteria can be categorized into benefit and cost. Ratings of alternatives versus criteria and the importance weights of criteria are normalized before multiplication. The membership function of each fuzzy weighted rating can be developed by interval arithmetic of fuzzy numbers. A ranking method can then be applied easily to develop positive and negative idea solutions in order to complete the fuzzy TOPSIS model. Finally, a numerical example demonstrates the feasibility of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.
引用
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页码:10870 / 10876
页数:7
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