Solving a linear programming problem with the convex combination of the max-min and the max-product fuzzy relation equations

This article is about solving a linear programming problem constraint to fuzzy relation equation. In this paper we present a fuzzy operator constructed by the convex combination of the max-min and the max-product fuzzy relation equations. A.Ghodousian , E.Khoram in 2006 , introduced a same method that was the convex combination of the max-min and max-average fuzzy relation equations. This operator have some characteristics of the two composition that is max-min and max-product. Hence in initial stage , we talk about the structure of these fuzzy regions and then present a method to solve the linear optimization problem with fuzzy equation constraints regarding this operator is presented