模糊完备格范畴中的乘积和余积

The products and coproducts in the category of fuzzy complete lattices

讨论了以L-模糊完备格为对象、以保任意L-模糊集并的映射为态射的L-模糊完备格范畴LSUP中的乘积和余积,给出了乘积和余积的具体结构,推广了经典完备格范畴的结论,为研究此范畴的其他性质打下了基础。

The products and coproducts in the category of L-fuzzy complete lattices are discussed, which consists of L-fuzzy complete lattices and mappings preserving the suprema of arbitrary L-fuzzy sets. The concrete structures of the produvts and coproducts in this category are given, which generalizes the case of the category of classical complete lat- tices. The study of products and coproducts lays a foundation on the study of the other properties of the category of L-fuzzy complete lattices.