A New Method for Solving Fuzzy Triangular Linear Fractional Programming Problem by Conversion Technique

Fuzzy Triangular Linear Fractional Programming Problem (FTLFPP) is one in which the objective function is a linear fractional function, while the constraints are in the form of linear inequalities. This paper meticulously implements the proposed conversion technique without compromising the original objective functions and constraints. The standard methods are quite complex and tedious. Here we propose a novel conversion technique that converts the given FTLFPP into FTLPP, which helps us smoothly solve the FTLFPP. This is illustrated with the help of some numerical examples.

Authors

Publication Details

Journal
Advances in Nonlinear Variational Inequalities
Published
2025-03-26
DOI
https://doi.org/10.52783/anvi.v28.4482
Primary Topic
Optimization and Mathematical Programming
Type
article
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article

A New Method for Solving Fuzzy Triangular Linear Fractional Programming Problem by Conversion Technique

S. Abdul Hakkeem
Advances in Nonlinear Variational Inequalities
Optimization and Mathematical Programming
article

A New Method for Solving Fuzzy Triangular Linear Fractional Programming Problem by Conversion Technique

S. Abdul Hakkeem
article en

Abstract

Fuzzy Triangular Linear Fractional Programming Problem (FTLFPP) is one in which the objective function is a linear fractional function, while the constraints are in the form of linear inequalities. This paper meticulously implements the proposed conversion technique without compromising the original objective functions and constraints. The standard methods are quite complex and tedious. Here we propose a novel conversion technique that converts the given FTLFPP into FTLPP, which helps us smoothly solve the FTLFPP. This is illustrated with the help of some numerical examples.

Advances in Nonlinear Variational InequalitiesVol. 28(7s)
Openalex Percentile: Top 93%
Optimization and Mathematical Programming
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A New Method for Solving Fuzzy Triangular Linear Fractional Programming Problem by Conversion Technique — S. Abdul Hakkeem · Advances in Nonlinear Variational Inequalities (2025) | TGRS Research Map | TGRS