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Research on weight calculation method of fuzzy consistent matrix. (Chinese. English summary) Zbl 1438.15069

Summary: Aiming at the linear relationship between fuzzy consistent judgment matrix and its weight, the value range and meaning of its conversion coefficient are deeply analyzed, and the power function as the general form is given. In order to solve the problem of the uncertainty of calculation of the fuzzy consistent judgment matrix’s weight in fuzzy analytic hierarchy process (FAHP), the optimal weight calculation method based on the minimum weight or the maximum ratio as additional information is proposed and the optimal linear conversion coefficient is obtained. The optimal weight calculation methods are verified by examples. The optimal weight calculation methods can avoid the blindness of choosing the value of conversion coefficient, get the calculated weight closer to the real weight, and has good adaptability and strong robustness.

MSC:

15B15 Fuzzy matrices
65F99 Numerical linear algebra
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