(L,M)-闭包模糊邻域空间

Abstract

Abstract:

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.

Key words: (L,M)-closure fuzzy neighborhood systems, initial structure, final structure, coproduct, product

CLC Number:

O189.1

ZHAO Hu, LI Shenggang, YANG Hailong. (L,M)-Closure Fuzzy Neighborhood Spaces[J].Journal of Jilin University Science Edition, 2015, 53(05): 904-908.

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(L,M)-Closure Fuzzy Neighborhood Spaces

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