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.
Highlights
Introduction and MotivationThe system of linear equations plasy a crucial role in the mathematical models of real-world issues such as economic, physics and engineering [1,2,3,4,5]
An embedding method [18] is adopted and the original pnnq fuzzy linear systems (FLS) is substituted with the p2Nqp2Nq non-fuzzy linear system
Allahviranloo et al [19] showed with a counterexample, which we will detail in Example 1, that the weak fuzzy solutions proposed by Freidman et al [17] are not fuzzy number vectors in general
Summary
Soheil Salahshour 1 , Ali Ahmadian 2 , Fudziah Ismail 2 and Dumitru Baleanu 3,4, *.
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