A Novel Technique to Solve Fully Fuzzy Nonlinear Matrix Equations

Abstract

Several techniques are suggested in order to generate estimated solutions of fuzzy nonlinear programming problems. This work is an attempt in order to suggest a novel technique to obtain the fuzzy optimal solution related to the fuzzy nonlinear problems. The major concept is on the basis of the employing nonlinear system with equality constraints in order to generate nonnegative fuzzy number matrixes $\widetilde{\gamma },\widetilde{\gamma }^{2} , \ldots ,\widetilde{\gamma }^{n}$ that satisfies $\widetilde{D}\widetilde{\gamma } + \widetilde{G}\widetilde{\gamma }^{2} + \ldots + \widetilde{P}\widetilde{\gamma }^{n} = \widetilde{Q}$ in which $\widetilde{D},\widetilde{G}, \ldots ,\widetilde{P}$ and $\widetilde{Q}$ are taken to be fuzzy number matrices. An example is demonstrated in order to show the capability of the proposed model. The outcomes show that the suggested technique is simple to use for resolving fully fuzzy nonlinear system (FFNS).