An Interval Arithmetic Approach for Fuzzy Multiple Criteria Group Decision Making

Chung-Tsen Tsao

《Asia Pacific Management Review》 7卷1期 (2002/03) Pp. 25-39

並列摘要

This work suggests an interval arithmetic based algorithm to solve the fuzzy multiple criteria group decision-making (MCGDM) problem. In the proposed method, the ratings of alternatives under different criteria and the importance weights of the criteria are firstly transformed into a comparable scale. Secondly, the membership function of the aggregation of the transformed ratings and transformed importance weights for each alternative is developed by using interval arithmetic and α-cuts of fuzzy numbers. A ranking method can then be easily applied to order all the final fuzzy numbers. The proposed method enhances the applicability of fuzzy set theory to the ill-defined MCDM problems. A numerical example demonstrates the computational process of the proposed method.

並列關鍵字

Fuzzy MCGDM ； Membership function ； Interval arithmetic ； α-cuts

參考文獻

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