A Novel Weak Fuzzy Solution for Fuzzy Linear System

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.

Chapter 8 – Media reporting of migrants and migration

“…46 Santa Ana, 1999. 47 Abid, Manan and Rahman, 2017 48 However, not all uses of metaphors in the context of migration are negative, as Salahshour (2016) explores in the case of New Zealand: they can also communicate positive, economic aspects. 49 Thorbjornsrud, 2015. Arab, host-country media in the study (which included Lebanese, Jordanian, Egyptian and Turkish news) tended to use more metaphors when referring to Syrian refugees than non-host country media (comprising US, British, Saudi Arabian and United Arab Emirates sources).…”

An efficient analytical-numerical technique for handling model of fuzzy differential equations of fractional-order

“…As a fact, there are many examples about functioning modeling in real life situations such as earthquakes model, the model of fluid dynamic traffic with fractional derivatives, the process of measuring of viscoelastic material properties, etc [7]. Accordingly, numerous research papers were conducted to examine and investigate the aforementioned theory and solutions of fuzzy and fractional differential equations (see [3,4,21,30,[34][35][36]).…”

Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces

“…Somehow when the information arise from the computational perception is vague, uncertain and partially true or without sharp boundaries, researchers utilize the concept of fuzziness and describe mathematical models by fuzzy differential equations or fuzzy linear systems. In [1], the authors have derived a weak fuzzy solution for the system of fuzzy linear equations, while Salahshour et al [30] proposed a technique to find the approximate solution of fully fuzzy linear system. There are various developed techniques to investigate the existence of the solution of differential equations.…”