Modified Non-Linear Triangular Neutrosophic Numbers: Theory and Applications in Integral Equation
Year: 2024
Type: article
Abstract: Existing methods for handling uncertainty and imprecision often fall short in addressing complex real-world problems. To overcome these limitations, this paper introduces a novel Generalized Non-Linear Triangular Neutrosophic Number (GNLTNN) that effectively captures uncertainty, indeterminacy, and falsity. By analysing GNLTNN through (α, β, γ)-cuts and defining arithmetic operations using the max-min principle, we provide a robust framework for handling neutrosophic information. The proposed neutrosophic Laplace transform method enables efficient solutions to integral equations involving non-linear neutrosophic numbers. The efficacy of our approach is demonstrated through graphical representations
Author: A. Mohammed shapique, E. Mathivadhana
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6930344660
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