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Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods

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Bibliographic Details
Title: Numerical Solution of Dual Fully Fuzzy Equations System Using Some Meta Heuristic Methods
Authors: Aang Nuryaman, Fatimatuzzahra, Rafiq Arssy Arifa, La Zakaria, Muhammad Ahsar Karim
Source: International Journal of Mathematical, Engineering and Management Sciences, Vol 10, Iss 5, Pp 1351-1364 (2025)
Publisher Information: Ram Arti Publishers, 2025.
Publication Year: 2025
Subject Terms: Technology, QA1-939, fuzzy numbers, meta heuristic method, optimization problem, dual fully fuzzy nonlinear equation systems, Mathematics
Description: Nowadays, there is more and more attention from researchers in solving various problems in the applied field of fuzzy equations, one of which is the fluid mechanics problem of reservoir piping. In this article, we investigate a solution to a dual fully fuzzy equations system involving triangular and trapezoidal fuzzy numbers using a numerical approach, especially meta-heuristic methods. We consider the equations system in crisp equations form as an optimization problem, and then its problems are solved. Here we compare the performance of four meta-heuristic methods, i.e., genetic algorithm (GA), chaos optimization algorithm (COA), particle swarm optimization (PSO), and grey wolf optimizer (GWO), to solve some cases in our problems. The results obtained show that PSO gives performance that is better than of other methods. Furthermore, the type of initial population number in GA affects how close the numerical solutions are to the exact solution.
Document Type: Article
Language: English
ISSN: 2455-7749
DOI: 10.33889/ijmems.2025.10.5.064
Accession Number: edsair.doi.dedup.....47cf98ceb2a22068b69165a237b4c18d
Database: OpenAIRE
Description
Abstract:Nowadays, there is more and more attention from researchers in solving various problems in the applied field of fuzzy equations, one of which is the fluid mechanics problem of reservoir piping. In this article, we investigate a solution to a dual fully fuzzy equations system involving triangular and trapezoidal fuzzy numbers using a numerical approach, especially meta-heuristic methods. We consider the equations system in crisp equations form as an optimization problem, and then its problems are solved. Here we compare the performance of four meta-heuristic methods, i.e., genetic algorithm (GA), chaos optimization algorithm (COA), particle swarm optimization (PSO), and grey wolf optimizer (GWO), to solve some cases in our problems. The results obtained show that PSO gives performance that is better than of other methods. Furthermore, the type of initial population number in GA affects how close the numerical solutions are to the exact solution.
ISSN:24557749
DOI:10.33889/ijmems.2025.10.5.064