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Performance Index is the foundational and essential indices of measurement of SoS(System of Systems) capability. We propose ten sorts of mapping relationships description between kernel elements of SoS architecture based on the DSM/DMM model. The formalization of model transformation, combination and transposing operators are described as the foundation of proposition of formulation to measure the dependability of capabilities and performances of SoS. The mapping N-N Matrix for capabilities and performances provides a necessary foundation to evaluate capability of certain SoS.