A general model for linear programming with interval type-2 fuzzy technological coefficients

This paper presents a general model for Linear Programming (LP) where its technological coefficients are assumed as Interval Type-2 fuzzy sets (IT2FS). In this proposal, an LP problem has uncertain technological coefficients i.e. its left side parameters are defined as IT2FS and it is solved through an α-cuts approach. As usual, a real-valued (crisp) solution should be found. In this way, an α-cuts based method is used for computing their optimal solutions, and a type reduction algorithm is applied to find a crisp solution of the problem.