Category Theoretic Properties of Topological Structures and Proximity Structures on L-fuzzy Space
This paper formulates the category of L-fuzzy spaces and fuzzy functions. It shows that the category of topological spaces and continuous fuzzy functions is a direct generalization of TOP and LTOP Moreover, it defines the concept of proximity space on L-fuzzy space and introduces its fundamental properties. A comparison between the classical case and the ordinary case has been outlined.
作 者： K.A.Dib O.A.Tantawy G.A.Kamel 作者单位： K.A.Dib,G.A.Kamel(Department of Mathematics,Faculty of Science,Fayoum University, Fayoum,Egypt)O.A.Tantawy(Department of Mathematics,Faculty of Science,Zagazig University,Zagazig,Egypt)
刊 名： 模糊系统与数学 ISTIC PKU 英文刊名： FUZZY SYSTEMS AND MATHEMATICS 年，卷(期)： 2008 22(3) 分类号： O159 关键词： L-fuzzy Spaces Fuzzy Functions Topological Spaces on L-fuzzy Space Proximity Spaces on L-fuzzy Space