Alternative methods for linear programming problem under triangular fuzzy uncertainty

Abstract

In this paper, linear programming problem under triangular fuzzy uncertainty has been taken into consideration. Accordingly, here the coefficient matrix of the constraints and coefficients of the objective functions are assumed as crisp. However, decision variables and the right-hand side vector of the constraints are assumed as uncertain. Two new methods have been developed here using the concept of a fuzzy centre, core and radius for the solution. In first method, coefficients are considered as non-negative in nature, whereas both non-negative and negative coefficients are considered for the second method. Obtained results are compared with Nasseri (2008) and Lone et al. (2017) for validation.