WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 12, 2013
A Novel Hybrid Fuzzy Weighted Average for MCDM with Interval Triangular Type-2 Fuzzy Sets
Authors: , , , ,
Abstract: Weight plays an important role in multi-criteria decision making (MCDM), as it would have a deep effect on the evaluation results. Fuzzy weighted average is one of the popular weight in MCDM method. However, the inherent uncertainty of this method can result in weighting errors. Therefore, this paper presents an interval triangular type-2 fuzzy set (ITT2FS) to capture uncertainty in multi-criteria decision making (MCDM) problems. In this paper, a new weighted average is developed using the concept of interval triangular type-2 fuzzy sets. Based on the concept of the relative closeness coefficients, we construct a simpler interval triangular type-2 fractional programming in weighted average to calculate the closeness coefficients, which can be employed to generate the ranking order of alternatives. The proposed method is illustrated with three numerical examples. As a result, we found that the proposed method is practical for solving the type-2 fuzzy TOPSIS problems. Besides, it seems that the proposed method is flexible, easy to use and low computational volume. Moreover, it has acceptable accurate.
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Keywords: Weighted average, Multiple attribute decision making, Interval type-2 fuzzy sets, Interval triangular type-2 fuzzy sets