Multi-Objective Non-Linear Programming Problems in Linear Diophantine Fuzzy Environment

Salma Iqbal; Naveed Yaqoob; Muhammad Gulistan

doi:10.3390/axioms12111048

Axioms (Nov 2023)

Multi-Objective Non-Linear Programming Problems in Linear Diophantine Fuzzy Environment

Salma Iqbal,
Naveed Yaqoob,
Muhammad Gulistan

Affiliations

Salma Iqbal: Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad 44000, Pakistan
Naveed Yaqoob: Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad 44000, Pakistan
Muhammad Gulistan: Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB T6G 2R3, Canada

DOI: https://doi.org/10.3390/axioms12111048
Journal volume & issue: Vol. 12, no. 11
p. 1048

Abstract

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Due to various unpredictable factors, a decision maker frequently experiences uncertainty and hesitation when dealing with real-world practical optimization problems. At times, it’s necessary to simultaneously optimize a number of non-linear and competing objectives. Linear Diophantine fuzzy numbers are used to address the uncertain parameters that arise in these circumstances. The objective of this manuscript is to present a method for solving a linear Diophantine fuzzy multi-objective nonlinear programming problem (LDFMONLPP). All the coefficients of the nonlinear multi-objective functions and the constraints are linear Diophantine fuzzy numbers (LDFNs). Here we find the solution of the nonlinear programming problem by using Karush-Kuhn-Tucker condition. A numerical example is presented.

Published in Axioms

ISSN: 2075-1680 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/axioms

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