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Entropy 2016, 18(3), 68; doi:10.3390/e18030068

A Novel Weak Fuzzy Solution for Fuzzy Linear System

1
Young Researchers and Elite Club, Islamic Azad University, Mobarakeh Branch, Mobarakeh, Iran
2
Department of Mathematics, Faculty of Science, Universti Putra Malaysia, 43400 Selangor, Malaysia
3
Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, Turkey
4
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
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)
View Full-Text   |   Download PDF [240 KB, uploaded 11 March 2016]   |  

Abstract

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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Salahshour, S.; Ahmadian, A.; Ismail, F.; Baleanu, D. A Novel Weak Fuzzy Solution for Fuzzy Linear System. Entropy 2016, 18, 68.

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