【摘要】 路代数是加法幂等的半环,它包括了布尔代数,模糊代数,分配格及斜坡.因此布尔矩阵,模糊矩阵,格矩阵及斜矩阵都是路代数上的典型矩阵.广义模糊幂零矩阵指的就是路代数上的幂零矩阵.在2010年,Tan研究了路代数上矩阵的幂零性.在Tan的基础上继续讨论了路代数上幂零矩阵的幂零指数.更多还原

【Abstract】 Path algebras are additively idempotent semirings which includes Boolean algebra, Fuzzy algebra,Distributive lattices and Inclines.Thus the Boolean matrices,the Fuzzy matrices,the Lattice matrices and the Incline matrices are typical examples of matrices in Path algebras.In this paper,generalized Fuzzy nilpotent matrices are considered as matrices in Path algebras.In 2010,Tan studied the nilpotency of matrices in Path algebras.On the basis of Tan,this paper is going to discuss the nilpotent index of the nilpotent matrix in Path algebra.更多还原