On fuzzy slightly γ-continuous functions

Article type: Research Article

Authors: Nasef, Arafa A.^a | Mareay, R.^{b; *}

Affiliations: [a] Department of Physics and Engineering Mathematics, Faculty of Engineering, Kafrelsheikh University, Kafr El-Sheikh, Egypt | [b] Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh, Egypt

Correspondence: [*] Corresponding author. R. Mareay, Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt. E-mail: roshdeymareay@sci.kfs.edu.eg.

Abstract: The concept of a fuzzy set provides a natural framework for generalizing many of the concepts of general topology to what might be called fuzzy topological space. Several types of fuzzy continuous functions and its weaker and stronger forms occur in the literature. In this paper we introduce and study the notion of fuzzy slightly γ-continuity. Fuzzy slightly γ-continuity generalize fuzzy γ-continuity. Moreover, basic properties and preservation theorems of fuzzy slightly γ-continuous functions are obtained.

Keywords: Fuzzy γ-open, fuzzy clopen, fuzzy continuity

DOI: 10.3233/JIFS-17714

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3883-3888, 2017