Affiliations: [a]
Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
| [b]
School of Mathematics, Beijing Institute of Technology, Beijing, P.R. China
Correspondence:
[*]
Corresponding author. A. Ghareeb, Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt. E-mails: a.ghareeb@sci.svu.edu.eg; nasserfuzt@hotmail.com.
Abstract: The notions of SP-compactness degree, SP-separatedness degree and SP-connectedness degree of an L-subset are discussed in L-fuzzy pretopological spaces via L-fuzzy semi-preopen operator and implication operator. The new notions do not based on the basis lattice structure, so the distributivity can be neglected. The notions SP-compactness, SP-separatedness and SP-connectedness degrees of L-fuzzy topological spaces can be viewed as a special cases of compactness, separatedness and connectedness degrees in L-fuzzy pretopological spaces. Furthermore, some properties of the new notions are obtained and investigated.
