A novel technique to solve fully fuzzy nonlinear matrix equations

Raheleh Jafari, Sina Razvarz, Alexander Gegov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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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 γ˜,γ˜2,…,γ˜n that satisfies D˜γ˜+G˜γ˜2+…+P˜γ˜n=Q˜ in which D˜,G˜,…,P˜and 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).
Original languageEnglish
Title of host publication13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018
EditorsRafik A. Aliev, Janusz Kacprzyk, Witold Pedrycz, Mo Jamshidi, Fahreddin M. Sadikoglu
PublisherSpringer
Pages886-892
Number of pages7
ISBN (Electronic)978-3-030-04164-9
ISBN (Print)978-3-030-04163-2
DOIs
Publication statusPublished - 29 Dec 2018
Event13th International Conference on Applications of Fuzzy Systems and Soft Computing - Warsaw, Poland
Duration: 27 Aug 201828 Aug 2018

Publication series

NameAdvances in Intelligent Systems and Computing
PublisherSpringer
Volume896
ISSN (Electronic)2194-5357

Conference

Conference13th International Conference on Applications of Fuzzy Systems and Soft Computing
Abbreviated titleICAFS 2018
CountryPoland
CityWarsaw
Period27/08/1828/08/18

Keywords

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

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