On Fully Fuzzy Linear Programming Problems

The fuzzy linear programming problem has been used as an important tool in different disciplines such as engineering, business, economics, commerce, defence etc. Fully Fuzzy Linear Programming Problems (FFLP) are those in which all the parameters that is the cost coefficients, the technological coefficients, the right-hand side of the constraints, and the decision variable are fuzzy numbers. Ezzati et al. [1] suggested an algorithm to solve fully fuzzy linear programming problems. In this paper, we propose two methods to find the optimal solution of fully fuzzy linear programming problems by the defuzzification of the parameters in the objective function with fuzzy inequality constraints. We consider here the cases of triangular fuzzy numbers.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-10-30
DOI
https://doi.org/10.5281/zenodo.14010592
Primary Topic
Multi-Criteria Decision Making
Type
article
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On Fully Fuzzy Linear Programming Problems

Zenodo (CERN European Organization for Nuclear Research)
Multi-Criteria Decision Making
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On Fully Fuzzy Linear Programming Problems

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Abstract

The fuzzy linear programming problem has been used as an important tool in different disciplines such as engineering, business, economics, commerce, defence etc. Fully Fuzzy Linear Programming Problems (FFLP) are those in which all the parameters that is the cost coefficients, the technological coefficients, the right-hand side of the constraints, and the decision variable are fuzzy numbers. Ezzati et al. [1] suggested an algorithm to solve fully fuzzy linear programming problems. In this paper, we propose two methods to find the optimal solution of fully fuzzy linear programming problems by the defuzzification of the parameters in the objective function with fuzzy inequality constraints. We consider here the cases of triangular fuzzy numbers.

Zenodo (CERN European Organization for Nuclear Research)
Raiganj University (IN)
Openalex Percentile: Top 45%
Multi-Criteria Decision Making
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