Quadratic Programming Method for Choosing Optimal Decision in Fuzzy and Complex Environment of Battle Scenario

‎The military decision-making process is very complex and involves uncertainty in the information. Decision makers and players, environmental factors, objectives, strategies and criteria are the important cases for choosing the optimal decision. In this paper, a methodology for military decision-making in different battle situations is described. The modeling of decision-making problems in the conflict between two red and blue forces is expressed in the frameworks of the bi-matrix games. The insider and opponent's strategies are examined and the output of the analysis is placed in two game matrices, separately. Fuzzy theory is used to model the uncertainty resulting from strategies analysis. Using the nearest interval approximation of the fuzzy numbers, the payoffs are written as interval. Then, to compute equilibrium points, two quadratic programming problems are introduced. Finally, model of battle scenario is expressed as a fuzzy bi-matrix game and it's solution is described using the proposed method.