A Novel Weak Fuzzy Solution for Fuzzy Linear System

A Novel Weak Fuzzy Solution for Fuzzy Linear System

This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this propo...

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Main Authors: Soheil Salahshour, Ali Ahmadian, Fudziah Ismail, Dumitru Baleanu
Format: Article
Language:English
Published: MDPI AG 2016-03-01
Series:Entropy
Subjects:
fuzzy linear system (FLS)
weak fuzzy solution
complex fuzzy system
fuzzy setting theory
Online Access:http://www.mdpi.com/1099-4300/18/3/68
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spelling doaj-418f0502f1c74101892fd7d8427d738c2020-11-24T22:49:13ZengMDPI AGEntropy1099-43002016-03-011836810.3390/e18030068e18030068A Novel Weak Fuzzy Solution for Fuzzy Linear SystemSoheil Salahshour0Ali Ahmadian1Fudziah Ismail2Dumitru Baleanu3Young Researchers and Elite Club, Islamic Azad University, Mobarakeh Branch, Mobarakeh, IranDepartment of Mathematics, Faculty of Science, Universti Putra Malaysia, 43400 Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universti Putra Malaysia, 43400 Selangor, MalaysiaDepartment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, TurkeyThis article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this proposal is that the weak fuzzy solution is always a fuzzy number vector. Two complex and non-complex linear systems under uncertainty are tested to validate the effectiveness and correctness of the presented method.http://www.mdpi.com/1099-4300/18/3/68fuzzy linear system (FLS)weak fuzzy solutioncomplex fuzzy systemfuzzy setting theory
collection DOAJ
language English
format Article
sources DOAJ
author Soheil Salahshour
Ali Ahmadian
Fudziah Ismail
Dumitru Baleanu
spellingShingle Soheil Salahshour
Ali Ahmadian
Fudziah Ismail
Dumitru Baleanu
A Novel Weak Fuzzy Solution for Fuzzy Linear System
Entropy
fuzzy linear system (FLS)
weak fuzzy solution
complex fuzzy system
fuzzy setting theory
author_facet Soheil Salahshour
Ali Ahmadian
Fudziah Ismail
Dumitru Baleanu
author_sort Soheil Salahshour
title A Novel Weak Fuzzy Solution for Fuzzy Linear System
title_short A Novel Weak Fuzzy Solution for Fuzzy Linear System
title_full A Novel Weak Fuzzy Solution for Fuzzy Linear System
title_fullStr A Novel Weak Fuzzy Solution for Fuzzy Linear System
title_full_unstemmed A Novel Weak Fuzzy Solution for Fuzzy Linear System
title_sort novel weak fuzzy solution for fuzzy linear system
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2016-03-01
description This article proposes a novel weak fuzzy solution for the fuzzy linear system. As a matter of fact, we define the right-hand side column of the fuzzy linear system as a piecewise fuzzy function to overcome the related shortcoming, which exists in the previous findings. The strong point of this proposal is that the weak fuzzy solution is always a fuzzy number vector. Two complex and non-complex linear systems under uncertainty are tested to validate the effectiveness and correctness of the presented method.
topic fuzzy linear system (FLS)
weak fuzzy solution
complex fuzzy system
fuzzy setting theory
url http://www.mdpi.com/1099-4300/18/3/68
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AT fudziahismail anovelweakfuzzysolutionforfuzzylinearsystem
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AT aliahmadian novelweakfuzzysolutionforfuzzylinearsystem
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