On upper and lower α-continuous fuzzy multifunctions

Article type: Research Article

Authors: Hebeshi, M. A. | Taha, I. M.^*

Affiliations: Department of Mathematics, Faculty of Science, Sohag University, Egypt

Correspondence: [*] Corresponding author. Islam Taha, Department of Mathematics, Faculty of Science, Sohag University, Egypt. Tel.: +20 111 4149512; E-mail: imtaha2010@yahoo.com

Abstract: In this paper, we introduced the concepts of fuzzy upper and fuzzy lower α-continuous, almost α-continuous and weakly α-continuous multifunctions. Several characterizations and properties of these multifunctions along with their mutual relationships are established in L-fuzzy topological spaces. Later, composition and union between these multifunctions have been studied.

Keywords: L-fuzzy topology, fuzzy multifunction, graph multifunction, upper and lower α-continuous, almost α-continuous, weakly α-continuous, composition, union, compactness, 1991 Mathematics Subject Classification. 54A40, 54C08, 54C60

DOI: 10.3233/IFS-151533

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 6, pp. 2537-2546, 2015