Abstract: 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.
Publication Year: 2011
Publication Date: 2011-01-01
Language: en
Type: article
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