Solving a fuzzy linear equation with a variable, using the expected interval of a fuzzy number

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this work, a fuzzy linear equation AX + B = 0, is solved, were A, B y C are triangular diffuse numbers, could also be trapezoidal. For this type of equations there are several solution methods, the classic method that does not always obtain solutions, the most used is the method of alpha cuts and arithmetic intervals that although it always finds a solution, as a value is taken closer to zero (more inaccurate), the solution satisfies less to the equation. The new method using the expected interval, allows to obtain a smaller support set where the solutions come closer to satisfying the equation, also allows to find a single interval where the best solutions for decision making are expected to be found.

Original languageEnglish
Title of host publicationMachine Learning and Artificial Intelligence - Proceedings of MLIS 2020
EditorsAntonio J. Tallon-Ballesteros, Chi-Hua Chen
PublisherIOS Press BV
Pages98-106
Number of pages9
ISBN (Electronic)9781643681368
DOIs
StatePublished - 2 Dec 2020
Event2020 International Conference on Machine Learning and Intelligent Systems, MLIS 2020 - Virtual, Online, Korea, Republic of
Duration: 25 Oct 202028 Oct 2020

Publication series

NameFrontiers in Artificial Intelligence and Applications
Volume332
ISSN (Print)0922-6389
ISSN (Electronic)1879-8314

Conference

Conference2020 International Conference on Machine Learning and Intelligent Systems, MLIS 2020
Country/TerritoryKorea, Republic of
CityVirtual, Online
Period25/10/2028/10/20

Keywords

  • Alpha cut
  • Expected interval
  • Fuzzy arithmetic
  • Fuzzy equations
  • Fuzzy number

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