Solving a mathematical programming problem with a linear goal function in fuzzy constraints

New concepts are introduced, a fuzzy solution to sets of inequalities of a general form and a mathematical programming problem in fuzzy constraints. A method is suggested for generation of fuzzy constraints by using a set of non-equivalent subsystems of double inequalities in the space of many variables. The problem of mathematical programming with a linear goal function is solved in fuzzy constraints obtained from the set of inequalities.