Fuzzy Information and Engineering, Volume (14), No (3), Year (2022-7) , Pages (335-348)

Title : ( New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models )

Authors: Mehrnoosh Salari , Reza Ghanbari , Khatere Ghorbani-Moghadam ,

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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.

Keywords

, Fuzzy LR interval number, fuzzy LR interval linear system, quadratic programming, least squares method
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@article{paperid:1092711,
author = {مهرنوش سالاری and Ghanbari, Reza and Khatere Ghorbani-Moghadam},
title = {New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models},
journal = {Fuzzy Information and Engineering},
year = {2022},
volume = {14},
number = {3},
month = {July},
issn = {1616-8658},
pages = {335--348},
numpages = {13},
keywords = {Fuzzy LR interval number; fuzzy LR interval linear system; quadratic programming; least squares method},
}

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%0 Journal Article
%T New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models
%A مهرنوش سالاری
%A Ghanbari, Reza
%A Khatere Ghorbani-Moghadam
%J Fuzzy Information and Engineering
%@ 1616-8658
%D 2022

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