• SAVITA MISHRA
• Prabhat Kumar Singh

In this paper we consider the solution of a tri-level linear fractional programming problems(TLL FPP) by compromise solution approach based on interactive fuzzy goal programming. In this approach optimal solution of the lower-level problem is dependent on the upper-level problem and considers the solution of each DM by randomly pairing up the decision maker (their solutions) .Each pair of DMs (solution) give birth to new feasible trial solutions whose features are a random mixture of the features of the solutions of each decision makers. This is in accordance with a hierarchical system where the upper level DM is the main decision maker. The method has no special requirement for the characters of the function and overcome the difficulty discussing the conditions and the algorithms of the optimal solution with the definition of the differentiability of the function. The numerical result shows the proposed algorithm is feasible and efficient, can find global optimal solutions with less computational burden.

Tri-level programming problem, optimal solution, compromise solution, satisfactory solution, interactive fuzzy programming, goal Programming.

"Compromise solution approach for solving tri-level linear fractional programming problems", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.12, Issue 10, page no.d51-d62, October-2025, Available :http://www.jetir.org/papers/JETIR2510308.pdf

"Compromise solution approach for solving tri-level linear fractional programming problems", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.12, Issue 10, page no. ppd51-d62, October-2025, Available at : http://www.jetir.org/papers/JETIR2510308.pdf