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Abstract Uncertainty characterizes many of the decision-making situations that we face today in business and in our personal lives. Uncertainty arises when we have insufficient knowledge of the factors at play in these decisionmaking situations. Hence, it was necessary to study game theory, especially continuous static games under uncertainty. This thesis considers three main issues: 1) uncertainty in the continuous static game. 2) parametric study in the case of uncertainty existence. 3) applying uncertainty continuous static games in network security. For the first issue, We present two treatments for a continuous static game; the first one using rough. The roughness place generates three classes of the game. For each class, we discuss the surely and possibly optimal solutions. The second one is applied using fuzzy rough in which the objective functions and the constraints have fuzzy rough nature. Using the a-cut technique to convert the fuzzy part into deterministic ones. the upper and lower approximation models split the roughness part into two problems; this leads to four studied cases. |