On Convergence in L-Valued Fuzzy Topological Spaces. (11th February 2015)

• Record Type: Journal Article
• Authors: Ramadan, A. A.; El-Dardery, M.; Zhao, Hu
• Other Names: Bellouquid Abdelghani Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2015(2015)
• Publication Date: 2015-02-11
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2015/730940
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We introduce the concept of L -fuzzy neighborhood systems using complete MV -algebras and present important links with the theory of L -fuzzy topological spaces. We investigate the relationships among the degrees of L -fuzzy r -adherent points ( r -convergent, r -cluster, and r -limit, resp.) in an L -fuzzy topological spaces. Also, we investigate the concept of LF -continuous functions and their properties.