【摘要】 在有限论域上首先给出 θ- Fuzzy关系方程的分解 ,然后针对 N R -蕴涵θ ,探讨θ - Fuzzy关系方程的求解问题 ,基于解矩阵给出解的存在性的几个新判据 ,并在解集非空时 ,证明 θ- Fuzzy关系方程的每一个解都存在一个极大解。更多还原

【Abstract】 In this paper, decomposition of θ-Fuzzy relation equations is first given in a finite case. Then, for NR-implications, the resolution problem of θ-Fuzzy relation equations is discussed, and some new solvability criteria based upon ″solution matrices″ are studied. In the paper it is shown that for each r∈S(A,b), there exists a maximal element r~*∈S(A,b), such that r~*≥r is given, when the solution set S(A,b) of θ-Fuzzy relation equation A~θ r=b is unempty.更多还原