Incorporating the imprecision of both weights and values into multi-attribute value theory brings us some computational di$culties in evaluating alternatives to be considered. For instance, we involve treating a non-linear programming problem because of non-linear forms of objectives or constraints to represent inner product forms of imprecisely known weights and values. In this paper, we thus ...

The production planning is an important problem in most of manufacturing systems in practice. Unlike many researches existing in literature, this problem encounters with great uncertainties in parameters and input data. In this paper, a single machine capacitated production planning problem is considered and a linear programming formulation is presented. The production costs are assumed to be u...

Multi Expression Programming (MEP) is a Genetic Programming variant that uses linear chromosomes for solution encoding. A unique feature of MEP is its ability of encoding multiple solutions of a problem in a single chromosome. In this paper we use Multi Expression Programming for evolving digital circuits for a well-known NP-Complete problem: the knapsack (subset sum) problem. Numerical experim...

A multi-objective linear programming problem is made from fuzzy problem. It due the fact that it used method during solution. The Multi objective can be converted into single function by various methods as Chandra Sen’s method, weighted sum ranking statistical averaging method. In this paper, and both are here for making function. Two problems solved to verify result. One numerical example othe...