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

作　　者：周异辉[1] 马崛[2] 

机构地区：[1]陕西师范大学计算机科学学院,陕西西安710062 [2]榆林学院数学系,陕西榆林719000

出　　处：《山东大学学报（理学版）》2012年第8期122-126,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11001158);陕西师范大学博士科研启动费

摘　　要：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.

关 键 词：L-模糊偏序集 L-模糊完备格 范畴 乘积 余积 

分 类 号：O153.1[理学—数学]