Comparison of three ranking methods for the fuzzy consistent judgement matrix

Comparison of three ranking methods for the fuzzy consistent judgement matrix

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Article ID: iaor20051010
Country: China
Volume: 25
Issue: 11
Start Page Number: 1370
End Page Number: 1372
Publication Date: Nov 2003
Journal: Chinese Journal of Systems Engineering and Electronics
Authors:
Keywords: fuzzy sets
Abstract:

Three ranking formulas of fuzzy consistent judgement matrix are analysed comparatively in this paper, which are square root method, sum-product method, and the ranking method given by the relation between the weight and the elements of the fuzzy consistent judgement matrix. First, it is shown that the ranking formula according to the relation between the weight and the elements of fuzzy consistent judgement matrix is feasible. Then the relation of the three ranking methods and the disadvantages in the square root method and sum-product method are discussed. The conclusion of this paper is helpful to the correct application of the ranking formula of a fuzzy consistent judgement matrix, enriching the theory and method of fuzzy decision making.

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