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A Novel Technique to Solve Fully Fuzzy Nonlinear Matrix Equations

  • Raheleh Jafari
  • Sina Razvarz
  • Alexander Gegov
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 896)

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).

Keywords

Fuzzy solution Fuzzy numbers Fully fuzzy nonlinear system Fully fuzzy matrix equations 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Centre for Artificial Intelligence Research (CAIR)University of AgderGrimstadNorway
  2. 2.Departamento de Control AutomaticoCINVESTAV-IPN (National Polytechnic Institute)Mexico CityMexico
  3. 3.School of ComputingUniversity of PortsmouthPortsmouthUK

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