A method of establishing the dependency integrated matrix based on diagonally dominant fuzzy transitive matrix

Abstract

For the purpose of detecting the state of systems or equipment, and isolating the internal faults in the field of testability, a method of establishing the dependency integrated matrix based on diagonally dominant fuzzy transitive matrix is proposed. The principle of dependency integrated matrix is introduced. On the basis of fuzzy transitive modeling towards the faults and the signs of systems or equipment under detection, the fuzzy transitive matrix is achieved [1]. Furthermore, according to the diagonally dominant matrix, the zero rows (rows with all zero elements) of dependency matrix are settled, and the dependency integrated matrix applied to fault detection is proposed based on the transitive relationship between the faults and the symptoms with the maximum degree of membership [2, 3]. The flow of establishment for dependency integrated model is described in detail. The statistics of a certain circuit are taken as an example for application, which demonstrates this method is feasible and effective.