An α -cut approach for fuzzy product and its use in computing solutions of fully fuzzy linear systems

Reza Hassanzadeh, Iraj Mahdavi, Nezam Mahdavi-Amiri and Ali Tajdin

International Journal of Mathematics in Operational Research, 2018, vol. 12, issue 2, 167-189

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.

Keywords: fuzzy numbers; α -cut; regression model; fuzzy product; fully fuzzy linear system; FFLS. (search for similar items in EconPapers)
Date: 2018
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