Determination of the degrees of P-property and nonnegative invertibility for a fuzzy matrix

Authors:
Mehdi Dehghan;Behnam Hashemi
Affiliations:
Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran;Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15914, Iran and Mathematics Department, Faculty of ...
Venue:
International Journal of Approximate Reasoning
Year:
2007

Citing 2
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Abstract

Checking P-property and nonnegative invertibility of real and interval matrices has been widely investigated in the literature. In this paper, we try to extend the study to fuzzy matrices of fuzzy numbers, by employing the methods used for the corresponding interval matrices. To determine the degree of P-property and nonnegative invertibility for a fuzzy matrix, we propose an algorithm. Applications in matrix stability are given via the numerical examples.