Mathematical programming approach to solve and model battle scenarios in decision support system of tactical and operational wargaming

Wargaming is one of the techniques of futures studies that prepares military commanders to predict future threats and how to make decisions in different situations. The wargaming decision support system is used to optimize the use of manpower, equipment, and to choose the best solution against the opponent's strategy. The decision making process in the wargaming system includes decision makers and players, environmental factors, objectives, strategies and criteria. In this article, the decision making process in tactical and operational wargaming scenarios is described. To this end, the model of fuzzy zero sum games in the decision support system of tactical and operational wargaming is examined. In this model, linguistic variables are used to set the game's payoff table. By using alpha-cuts of fuzzy numbers, the payoff matrix of game with interval elements is obtained, and the expected payoff is written as interval and depend on alpha . By calculating expected value of expected payoff, payoffs as crisp are written. After evaluating objectives and criteria, a mathematical programming approach is proposed for each player. By solving these problems, optimal strategies of players are obtained. Finally, the modeling of a wargaming battle scenario is illustrated and the use and resolution of these models is described.