A new method for solving linear programming problems under uncertainty

Linear programming is one of the most important using of operation research methods in real life, that is include of one objective function and one or several constraints which can be in the form of equality and inequality. Most of the problems in real world are include of inconsistent and astute uncertainty, because of this reason we can’t obtain the optimal solution easily. In this paper, we present linear programming problems in an intuitionistic environment with triangular interval-valued intuitionistic numbers and call it Interval-Valued Intuitionistic Linear Programming (IVILP) problems, as a fact an IVILP problem is a problem with one or more coefficients that are represented by interval–valued intuitionistic numbers. In the same way by introducing a ranking function we will convert IVILP problems to crisp problems and will solve it with standard methods.

کلیدواژه ها:

Fuzzy linear programming ، Interval-valued Intuitionistic sets ، Intuitionistic ، Interval-valued Intuitionistic values ، Interval uncertainty