吉林大学学报（理学版）
吉林大學學報（理學版）
길림대학학보（이학판）
Journal of Jilin University (Science Edition)
2015年
5期
904-908
,共5页
(L,M)-闭包模糊邻域系%初始结构%终结构%余积%乘积
(L,M)-閉包模糊鄰域繫%初始結構%終結構%餘積%乘積
(L,M)-폐포모호린역계%초시결구%종결구%여적%승적
(L,M)-closure fuzzy neighborhood systems%initial structure%final structure%coproduct%product
通过将 L-模糊弱邻域算子的概念变形到(L,M)-闭包模糊邻域系,给出(L,M)-闭包模糊邻域系和(L,M)-闭包系统的关系,并研究(L,M)-闭包模糊邻域空间与连续映射构成范畴的终结构和初始结构。最后给出该范畴的余积和乘积。
通過將 L-模糊弱鄰域算子的概唸變形到(L,M)-閉包模糊鄰域繫,給齣(L,M)-閉包模糊鄰域繫和(L,M)-閉包繫統的關繫,併研究(L,M)-閉包模糊鄰域空間與連續映射構成範疇的終結構和初始結構。最後給齣該範疇的餘積和乘積。
통과장 L-모호약린역산자적개념변형도(L,M)-폐포모호린역계,급출(L,M)-폐포모호린역계화(L,M)-폐포계통적관계,병연구(L,M)-폐포모호린역공간여련속영사구성범주적종결구화초시결구。최후급출해범주적여적화승적。
The notion of L-fuzzy weak neighborhood system was firstly transformed to an (L,M)-closure fuzzy neighborhood system,then the relationship betweeen (L,M)-closure fuzzy neighborhood systems and (L,M)-closure system was expounded,and the initial structures and the final structures of the category (L,M)-closure fuzzy neighborhood spaces and their fuzzy continuous mappings were studied.At last,as an application of the obtained results,coproducts and products of this category were described.
