Optimization of Educational Resources Allocation through Fully Fuzzy Linear Programming with Triangular Fuzzy Numbers

Author(s)	Ms. Divya Khare, Dr. Rajesh Shrivastava, Anita Mandloi, Jyoti Panthi
Country	India
Abstract	This study presents a Fully Fuzzy Linear Programming (FFLP) approach to optimize seat intake across multiple academic programs in an educational institute with the objective of maximizing profit. Triangular fuzzy numbers are employed to represent uncertainties in profits, costs, and resource constraints. To obtain actionable decisions, the fuzzy parameters are defuzzified into crisp values using a sub-interval ranking function. The resulting crisp model is solved through the Simplex Method, ensuring optimal allocation of limited resources such as faculty hours, classroom space, laboratory time, budget, and mentorship capacity. The methodology provides a systematic framework for decision makers to handle ambiguity while achieving profit maximization in academic seat planning.
Keywords	Fuzzy Linear Programming Problem, Ranking Function, Simplex Method, Triangular Fuzzy Numbers
Field	Mathematics
Published In	Volume 6, Issue 6, November-December 2025
Published On	2025-11-15
DOI	https://doi.org/10.63363/aijfr.2025.v06i06.1967
Short DOI	https://doi.org/hbbz8r

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