Abstract: When the information is incomplete, the existing modeling method of belief rule base (BRB) is difficult to construct a complete belief rule base, resulting in great challenges of weapon system of systems capability requirement satisfactory. Therefore, an analysis method based on finite conjunctive rules and self-organizing map is proposed to establish a disjunctive BRB. First, the belief rule bases under conjunctive assumption and disjunctive assumption are described respectively, and the correlation between them is defined. Secondly, the self-organizing mapping method is applied to quantitatively calculate the association degree between conjunctive rules and disjunctive rules, and to calculate the weight of the associated conjunctive rules. On this basis, the concrete steps of the generation of the complete disjunctive belief rule base are explained in detail. Finally, the feasibility and effectiveness of the proposed method are verified by the case of area air-defense weapon system of systems capability requirement satisfactory degree evaluation as an example.

Key words: weapon system of systems, capability satisfactory evaluation, incomplete information, self-organizing map, belief rule base (BRB)