L-Fuzzy映射的刻画(英文)

Characterizations of L-Fuzzy Mappings

在文献 [6]中 ,史福贵借助于 L -fuzzy关系定义了 L -fuzzy集间的 L -fuzzy映射并借助于它们的水平截集给出了其若干刻画。在这篇文章中 ,我们将借助于另外的截集给出 L -fuzzy映射的一种新刻画。从而我们也得到了 L -fuzzy单射和 L -fuzzy满射的新刻画。

In , Shi introduced L fuzzy mappings of L fuzzy sets by means of L fuzzy relations and gave their some characterizations by means of their level cut sets. In this paper, we shall present a new characterization of an L fuzzy mapping in terms of the other cut set. Hence we also obtain new characterizations of L fuzzy injection and L fuzzy surjection.