Quasi-convergent Fuzzy Matrix And Acyclicity Fuzzy Matrix

The research of fuzzy relation plays an important role on fuzzy mathematics theory and application. When the set we study is finite .fuzzy relation can be turned into fuzzy matrix . In the fuzzy algebra field , the research of matrices brings to many persons' attention , among which the study of typical matrices has important position. Several new typical fuzzy matrices are given and studied in this paper.In section 1, quasi-convergent matrix and its full description are given . Many typical matrices which people often see in the literatures , such as nilpotent matrix, symmetric matrix , transitive matrix , strongly transitive matrix and controllable matrix, belong to quasi-convergent matrix. Quasi-convergent matrix is the new result . It is shown that quasi-convergent matrices oscillate with perod equal to 2 . Then , the graph characteristic of the matrices and several examples whose period isn't greater than 2 are given .In section 2 , m-weak transitive fuzzy matrix and m-acyclicity fuzzy matrix, as well as their important properties , are given . Two kinds of fuzzy taxis ways based on the m-acyclicity fuzzy matrix are introduced .In section 3 , K-R transitive fuzzy matrix and its some properties are given. The conclusion shows that it belongs to the known transitive matrices with the richest properties , and holds an important status in the theory and application of matrix.