Fully Linear Diophantine Fuzzy Linear Programming Problems Based on Triangular LD-Fuzzy Numbers

Abstract

Operations research, control theory, management sciences, and other domains have all used fuzzy set theory. Triangular linear Diophantine fuzzy numbers is a new generalization of the triangular fuzzy numbers. In linear Diophantine fuzzy sets, we use the reference parameters, which allow us to choose the grades without any limitation, this helps us in obtaining better results. In this paper, a technique for solving a fully linear Diophantine fuzzy linear programming problem has been proposed. We split the fully LDF-linear programming problem (LDFLPP) to the classical linear programming problems and then solve all the classical linear programming problems by simplex method. At the end we combine all of our results to get the solution of our LDFLP problem.