Omesa, Umar Audu and Sulaiman, Ibrahim Mohammed and Yusuf, Waziri Muhammad and Hassan, Basim and Moyi, Aliyu Usman and Abdul-Rahman, Ayu and Mamat, Mustafa (2023) An efficient hybrid conjugate gradient algorithm for solving intuitionistic fuzzy nonlinear equations. Scientific Journal of King Faisal University Basic and Applied Sciences, 24 (1). pp. 8-13. ISSN 16588371

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Abstract

This paper presents an iterative algorithm for solving intuitionistic fuzzy nonlinear equations (IFNEs). The proposed method is based on the classical conjugate gradient (CG)search direction. An interesting feature of the new algorithm is that it considers problems based on the special triangular intuitionistic fuzzy number. For this purpose, intuitionistic fuzzy quantities are transformed into membership and non-membership parametric forms, and a line search procedure is employed to compute the step length. Preliminary results from numerical experimentsare presented to demonstrate the performance of the method. It is observed that the proposed hybrid CG method is highlyeffective and promising.

Item Type:	Article
Uncontrolled Keywords:	Hybrid CG, intuitionistic fuzzy nonlinear equation, parametric form, step length, inexact line search
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mr. Izhar Hj. Hashim
Date Deposited:	03 Nov 2026 08:36
Last Modified:	03 Nov 2026 08:36
URI:	https://repo.uum.edu.my/id/eprint/34385

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