An α-cut approach for fuzzy product and its use in computing solutions of fully fuzzy linear systems
by Reza Hassanzadeh; Iraj Mahdavi; Nezam Mahdavi-Amiri; Ali Tajdin
International Journal of Mathematics in Operational Research (IJMOR), Vol. 12, No. 2, 2018

Abstract: We propose an approach for computing the product of various fuzzy numbers using α-cuts. A regression model is used to obtain the membership function of the product. Then, we make use of the approach to compute solutions of fully fuzzy linear systems. We also show how to compute solutions of fully fuzzy linear systems with various fuzzy variables. Examples are worked out to illustrate the approach.

Online publication date: Tue, 06-Feb-2018

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