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Article

A Novel Weak Fuzzy Solution for Fuzzy Linear System

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Young Researchers and Elite Club, Islamic Azad University, Mobarakeh Branch, Mobarakeh, Iran
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Department of Mathematics, Faculty of Science, Universti Putra Malaysia, 43400 Selangor, Malaysia
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Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, Turkey
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Institute of Space Sciences, P.O.Box MG-23, Magurele-Bucharest RO-76911, Romania
*
Author to whom correspondence should be addressed.
Academic Editors: J. A. Tenreiro Machado and António M. Lopes
Entropy 2016, 18(3), 68; https://doi.org/10.3390/e18030068
Received: 31 October 2015 / Revised: 7 February 2016 / Accepted: 15 February 2016 / Published: 11 March 2016
(This article belongs to the Special Issue Complex and Fractional Dynamics)
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. View Full-Text
Keywords: fuzzy linear system (FLS); weak fuzzy solution; complex fuzzy system; fuzzy setting theory fuzzy linear system (FLS); weak fuzzy solution; complex fuzzy system; fuzzy setting theory
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MDPI and ACS Style

Salahshour, S.; Ahmadian, A.; Ismail, F.; Baleanu, D. A Novel Weak Fuzzy Solution for Fuzzy Linear System. Entropy 2016, 18, 68. https://doi.org/10.3390/e18030068

AMA Style

Salahshour S, Ahmadian A, Ismail F, Baleanu D. A Novel Weak Fuzzy Solution for Fuzzy Linear System. Entropy. 2016; 18(3):68. https://doi.org/10.3390/e18030068

Chicago/Turabian Style

Salahshour, Soheil, Ali Ahmadian, Fudziah Ismail, and Dumitru Baleanu. 2016. "A Novel Weak Fuzzy Solution for Fuzzy Linear System" Entropy 18, no. 3: 68. https://doi.org/10.3390/e18030068

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