Method for Solving Intuitionistic Fuzzy Transportation Problems - 1 using Singularly Perturbed Delay Differential Equations

S Asha; M Joseph Paramasivam

doi:10.17485/IJST/v16iSP4.ICAMS140

Article

Method for Solving Intuitionistic Fuzzy Transportation Problems - 1 using Singularly Perturbed Delay Differential Equations

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16iSP4.ICAMS140

Year: 2023, Volume: 16, Issue: Special Issue 4, Pages: 37-44

Original Article

Method for Solving Intuitionistic Fuzzy Transportation Problems - 1 using Singularly Perturbed Delay Differential Equations

S Asha^1*, M Joseph Paramasivam²

¹Lecturer, Department of Mathematics, Maris Stella College, Vijayawada, Andhra Pradesh, India
²Assistant Professor, Department of Mathematics, Bishop Heber College, (Affiliated to Bharathidasan University), Tiruchirappalli, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:12 October 2023, Accepted Date:22 November 2023, Published Date:25 December 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: To propose a new method to find the solution of Intuitionistic fuzzy transportation Problem I by applying Singularly Perturbed Delay Differential Equations. Methods: Intuitionistic fuzzy transportation Problem-I is converted to an Intuitionistic fuzzy linear programming problem and then to multi objective linear programming problem. The trader’s weights are provided in the form of Singularly Perturbed Delay Differential equations, and by applying the trader’s weights, a multi-objective linear programming problem is converted to crisp linear programming, which is then solved by using LINGO. Findings: The Proposed method to solve Intuitionistic Fuzzy Transportation Problems-1 by applying Singularly Perturbed Delay Differential Equations is illustrated by considering a numerical example discussed in the existing article, and the Optimal solution to Intuitionistic fuzzy transportation Problem-I is found and compared with the solution of the existing article. Novelty: Introducing Singularly Perturbed Delay Differential Equations in Solving the Intuitionistic Fuzzy Transportation Problem-I.

Keywords: Intuitionistic Fuzzy number, Intuitionistic Fuzzy Transportation problem, Singular perturbed Delay differential equation, Shish kin mesh, Finite difference scheme 1

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Copyright

© 2023 Asha & Paramasivam. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)