On L-fuzzy proximity spaces

Authors:
M. El-Dardery;J. Zhang
Affiliations:
Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt;College of Science, North China University of Technology, Beijing, China
Venue:
International Journal of Hybrid Intelligent Systems
Year:
2014

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Abstract

In this paper we study L-fuzzy proximity spaces, where L represents a completely distributive lattice.We shall investigate the level decomposition of L-fuzzy proximity on X and the corresponding L-fuzzy proximity continuous maps. In addition, we shall establish the representation theorems of L-fuzzy proximity on X.