Entropy based multi-objective crop production problem under fuzzy environment

Multi-objective non-linear programming refers to a branch of mathematical programming that involves the optimization of multiple objective functions simultaneously. In reality, many programming problems encompass multiple objectives. However, thus far, we have focused on the objective that decision makers deemed to be the most optimal. In this article, we investigate the multi-objective crop planning problem within a fuzzy environment, utilizing Shannon's measure of entropy as the objective function. The aforementioned issue is transformed into a mathematical formulation, wherein the imprecise data is represented by the $\lambda$-integral value of fuzzy numbers. We address this issue through the application of a fuzzy mathematical programming approach. Numerical examples have been presented to demonstrate the solution methodology for the given problem.