This paper, presents a solution method for Nash cooperative continuous static games (which is another type of continuous static games are constructs in this paper) by using interactive approach. This is achieved by using the method of compromise programming and the method of compromise weights from the payoff table of membership function for each cost function. Also we obtain the stability set of the first kind for the solution. The method, called interactive stability compromise programming (ISCP).

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The aim of this paper is to show that a parametric approach can be used to solve fractional continuous static games with interval-valued in the objective function and in the constraints. In this game, cooperation among all the players is possible, and each player helps the others up to the point of disadvantage to himself, so we use the Pareto-minimal solution concept to solve this type of game. The Dinkelbach method is used to transform fractional continuous static games into non- fractional continuous static games. Moreover, an algorithm with the corresponding flowchart to explain the suggested approach is introduced. Finally, a numerical example to illustrate the algorithm’s steps is given.

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Geometric programming (GP) problem is a powerful tool for solving some special type nonlinear programming problems. In this paper, we have developed a method to solve bilevel multiobjective geometric programming (BL-MOGP) problem under fuzziness. We shall describe the fuzzy optimization approach through geometric programming technique in order to solve (BL-MOGP) problem. Also the concepts of tolerance membership function and multiobjective optimization at each level are used to find a compromise solution. The solution procedure of the fuzzy approach is illustrated by a numerical example.