s-Transfer Fuzzy Matrix on Lattice
Jiang Chao · Chongqing Shifan Daxue xuebao. Ziran kexue ban · 2011
In the articles on fuzzy matrix,people define and discuss matrix operation not only by the operations of min and max,but also by triangle norm in .Using triangular s-norms on a complete distributive lattice L and fuzzy matrix operations,we define the s-transfer fuzzy matrix,and give some properties of the s-transfer fuzzy matrix.For example,suppose S is the s-norm distributed by ∧ and A is S-idempotent matrix,then A is idempotent matrix,when and only when A is transfer matrix and the transferred symmetric matrix is idempotent matrix.Suppose A∈Ln×n is transferred matrix,B=A∧Aτ,then B transfers symmetric matrix,and therefore B is also idempotent matrix.