Two kinds of approaches for determining the priority weight vector of fuzzy judgment matrix

Two kinds of approaches for determining the priority weight vector of fuzzy judgment matrix

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Article ID: iaor20053252
Country: China
Volume: 13
Issue: 2
Start Page Number: 161
End Page Number: 166
Publication Date: Feb 2004
Journal: Systems Engineering Theory Methodology Applications
Authors: ,
Keywords: analytic hierarchy process
Abstract:

After giving the concepts of additive consistency and multiplicative consistency of fuzzy judgment matrix, we propose two kinds of approach for determining the priority weight vector of fuzzy judgment matrix. In the first kind of approach, a consistent fuzzy judgment matrix or a fuzzy judgment matrix with satisfactory consistency is transformed into an AHP judgment matrix, and the priority weight vector of the AHP judgment matrix is regarded as that of the fuzzy judgment matrix. In the second kind of approach, the priority weight vector is calculated directly from a consistent fuzzy judgment matrix or a fuzzy judgment matrix with satisfactory consistency. Finally, some examples are presented to illustrate the approaches.

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