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   作者單位： 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： 模糊系統與數學  ISTIC PKU 英文刊名： FUZZY SYSTEMS AND MATHEMATICS  年，卷(期)： 2008 22(3)  分類號： O159  關鍵詞： L-fuzzy Spaces   Fuzzy Functions   Topological Spaces on L-fuzzy Space   Proximity Spaces on L-fuzzy Space  

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