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An Innovative Modeling of Fuzzy Assignment Problem by Runge-Kutta Ranking (RKR) Method

Year: 2025

Type: article

Abstract: An Assignment problem is a unique variety of the Linear Programming Problem. In this article, the payoff outlay values of the Fuzzy Assignment Problem are measured as Fuzzy Numbers in particular, are considered as Triangular Fuzzy Numbers. First, the Fuzzy Numbers are rehabilitated into crisp standard values using fuzzy ranking methods. Then, the tremendous extreme solution of the Fuzzy Assignment Problem is acquired by a typical Hungarian’s algorithm technique. Now, Runge Kutta ranking method is a new proposed approach is demonstrated by a numerical example and compared our proposed techniques with all other ranking methods.

Source: Panamerican mathematical journal.

DOI: 10.52783/pmj.v35.i4s.4672

Author: E. Jayanthi

Institutions: Bharathidasan University, Rajah Serfoji Government College (Autonomous)

Language: English

Topic: Optimization and Mathematical Programming

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4409081560

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