New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models. Issue 3 (3rd July 2022)

• Record Type: Journal Article
• Authors: Salari, Mehrnoosh; Ghanbari, Reza; Ghorbani-Moghadam, Khatere
• Is Part Of: Fuzzy information and engineering. Volume 14:Issue 3(2022)
• Page Start: 335
• Page End: 348
• Publication Date: 2022-07-03
• Subjects: Fuzzy LR interval number -- fuzzy LR interval linear system -- quadratic programming -- least squares method; Fuzzy systems -- Periodicals; Intelligent control systems -- Periodicals; 629.89
• DOI: 10.1080/16168658.2022.2152950
• Languages: English
• ISSNs: 1616-8658

Abstract

Abstract : Recently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions. Here, inspired by Ghanbari and Mahdavi-Amiri, we show that solving fuzzy LR interval linear systems is equivalent to solving fuzzy LR linear systems (FLRLSs). Then we develop some necessary and sufficient conditions for the solvability of FLRLSs. We then provide a new general concept for an approximate solution when an FLRLS lacks a solution. To compute an approximate solution, we propose an algorithm using a least squares method. Finally, we show the appropriateness of our proposed approximate solution recently introduced numerically.