【摘要】 称扩张原理给出的模糊映射为P_e-映射。本文讨论模糊映射的点式定义及其性质。证明了f∶X→Y为P_e-映射当且仅当f:■为点式的且f为P₁-映射及P₂-映射。由于P_e-映射是保并映射,而非P₁-映射或非P₂-映射不必是保并的,在这个意义上P_e-映射最好。更多还原

【Abstract】 For convenience, we denote the fuzzy mapping which is defined in terms of the extention principle by P_e-mapping. In this paper we introduce a point-wise notion of fuzzy mapping and discuss its properties. It is shown that f:X→Y is a P_e-mapping if and only if f:■ is point-wise and f is a P₁-mapping and P₂-mapping at the same time. Owing to P_e-mapping is union-preserving and a mapping which is not P₁-mapping or P₂-mapping is not necesarily union-preserving, P_e-mapping is best in this sence.更多还原