Optimization Operation Schemes With Incomplete Information Based On D-S Theory

Warfare command decision making problem is one of the core command activities in the operation. Whether the warfare command decision is correct or not, it has a significant effect on the result and process of the combat. However, due to the battle situation information and decision information are uncertain, so how to effectively deal with the uncertainty to obtain the optimal operation schemes has caused the attention of decision makers. Thus, for the influence of the uncertainty factors in military conflicts, the selection of the operation decision making schemes with the incomplete information is discussed in this paper. By using D-S theory and analytic hierarchy process (AHP), the uncertainty of the operation decision making schemes is analyzed, and the decision making method for dealing with the uncertainty is designed. Meanwhile, the process of the solutions is given. Numerical examples and simulation results demonstrate the superiority of the proposed method in this paper. The main results of this article can be described as follows:Firstly, an evidence reasoned method with an incomplete information multiple attribute decision making is investigated. In the process of the decision making method, the attribute value of the decision matrix is disposed, then the focal elements of the indifferent attributes are identified by considering the characteristics of attribute values of the decision matrix, and the basic probability assignment values of each focal elements can be established by constructing the method of the membership function, the ranking order of the operation decision making schemes can be obtained by using the utility interval of the decision schemes based on D-S theory. Thereby, on the basis of the above method proposed, the weight of each attribute value is improved by using the method for constructing the judgment matrix.Secondly, the DS-AHP method model is established by analyzing the evaluation system of warfare decision making schemes, and a multiple attribute decision making method with incomplete information is presented based on DS-AHP method. This method identifies the attribute values of decision making matrix, and the focal element set of the DS-AHP method is presented, the judgment matrix of DS-AHP method is constructed, the judgment values are synthesized by introduced the interval combination rules of evidence, then the ranking orders are obtained.Finally, the results of the dissertation are summarized and further research topics are pointed out.