To address the consistency problem between knowledge representation and problem solving，extended influence
diagram(ID) with representational properties and computational properties is applied to decision aiding. The concepts of
conditional arcs and decision cluster are presented to improve the asymmetric and uncertain problem existing in ID. The
solution algorithm based on condition decomposition is discussed for the extended ID. Extended ID-based approach is used to
analyze the aiding mission. Extended ID-based analysis framework and system structure are proposed. The aiding functions
of beyond-visual-range air combat are realized. Simulation results show the effectiveness and feasibility of the proposed
approach and structures.