On L-fuzzy proximity spaces

Article type: Research Article

Authors: El-Dardery, M.^{a; *} | Zhang, J.^b

Affiliations: [a] Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt | [b] College of Science, North China University of Technology, Beijing, China

Correspondence: [*] Corresponding author: M. El-Dardery, Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt. E-mail: [email protected]

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.

Keywords: L-fuzzy proximity, L-proximity; L-fuzzy proximity continuous map, L-proximity continuous map

DOI: 10.3233/HIS-130189

Journal: International Journal of Hybrid Intelligent Systems, vol. 11, no. 2, pp. 137-144, 2014