AN EFFICIENT SOLUTION FOR INTERVAL VALUED TRAPEZOIDAL FUZZY BOUNDED VARIABLE PROBLEM AND ITS REAL LIFE APPLICATION

AN EFFICIENT SOLUTION FOR INTERVAL VALUED TRAPEZOIDAL FUZZY BOUNDED VARIABLE PROBLEM AND ITS REAL LIFE APPLICATION

P. Yuvashri, A. Saraswathi, S. A. Edalpattanah

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Abstract

In this research examined a completely fuzzy Interval valued Trapezoidal Bounded Variable Linear Programming Problem (FFIVBVLPP) where all the parameters of objective functions, and resource vector decision variables are represented by Interval valued Trapezoidal fuzzy numbers. The FFIVBVLPP problem is converted into a crisp bounded variable problem using the Euclidean distance in Index Vectroial centroid Ranking. This research presents a novel and efficient solution to address the Interval- Valued Trapezoidal Fuzzy Bounded Variable Problem. The study aims to provide a comprehensive analysis of the problem and propose a method that significantly enhances the efficiency and accuracy of solutions. The approach leverages advanced mathematical techniques and fuzzy logic principles to handle uncertainty within the interval-valued trapezoidal fuzzy variables. This paper contributes to the existing literature by introducing a systematic and effective methodology for dealing with bounded variable problems in a fuzzy environment. The proposed algorithm is then illustrated with some mathematical analysis and an appropriate numerical example with case study.

Keywords

Bounded interval-valued fuzzy numbers linear programming, euclidean distance , fuzzy optimal solutions , interval valued trapezoidal fuzzy numbers.