This paper is based on improved AHP,giving the method of synthetic evaluation for the design quality level of the family electrical equipment,which provides a scientific way to compare different family eclectrical equipment disign levels or appraise sample products.

Through injecting the optimal transfer matrix the text gets the improved AHP and avoids the coherent testing at the beginning,and then a chieves computers sequencing based on the principle of improved Analytic Hierarchy Process and fuzzy synthetic evaluation,the paper evaluates the right weight of pivotal index in the index system and the construction control,then gets the control grade.

The properties of the perturbation matrices of antisymmetric matrices in the improved AHP;

In this paper, we give some sufficient conditions to preserve relative priority weights of old elements and new ones under a single criterion when a new group of elements are added in the improved AHP.

Application of this improved AHP method used in the practical assessment of computer evaluation, the results prove the feasibility of the method and practical.

The improved AHP is applied in weight calculation of water indices and then the multi\|objective fuzzy pattern recognition model is established.

The improved AHP is applied in weight calculation of water indexes and then is combined with fuzzy multi-objective optimization model.