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

Authors: Reza Hassanzadeh; Iraj Mahdavi; Nezam Mahdavi-Amiri; Ali Tajdin

Addresses: Department of Industrial Engineering, University College of Rouzbahan, Sari, Iran ' Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran ' Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran ' Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol, Iran

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.

DOI: 10.1504/IJMOR.2018.089676

International Journal of Mathematics in Operational Research, 2018 Vol.12 No.2, pp.167 - 189

Received: 22 Mar 2016
Accepted: 22 Aug 2016
Published online: 06 Feb 2018 *

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