The Graph-theoretical Approach Of Power Sequence Of Lattice Matrix

This paper researched on the convergence of lattice matrices using graphtheoretical approach. At first, both the concepts of fuzzy set and fuzzy re-lation are given, and the convergence of fuzzy matrices is introduced. Thenwe stressed the interval question of the previous research and extended theresearch of fuzzy matrix to the research of lattice matrix.The decomposition theorem of lattice matrix builds the bridge betweenlattice matrices and Boolean matrices.This paper mainly researched on thedirected graph of lattice matrices,and got the gragh-theoritical characteris-tic of the convergent lattice matrices, then got some sufficient and necessaryconvergent conditions of lattice matrices and the method of computing theconvergence index.The results presented could be regarded as the development of the previ-ous research on fuzzy matrix.And the convergence problem is basically resolvedfor lattice matrix applying to the fields of nerve network.