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Article type: Research Article
Authors: Morsi, Nehad N.a | Hashem, Khaled A.b; *
Affiliations: [a] Department of Basic Science, Arab Academy for Sciences, Technology and Maritime, Transport, Al-Horraya, Heliopolis, Cairo, Egypt | [b] Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
Correspondence: [*] Corresponding author. Khaled A. Hashem, Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt. E-mails: Khaledahashem@yahoo.com; Khaled.hashem@fsc.bu.edu.eg.
Abstract: The aim of this paper is to introduce the concepts of fuzzy T-locality groups. These constructs mainly will deal and relate with both fuzzy T-locality spaces (1995) and fuzzy TL-uniform spaces (2006). We establish some basic results and characterization theorems of fuzzy T-locality groups. Also, we give the necessary and the sufficient conditions for a group structure to be compatible with a fuzzy T-locality system.
Keywords: Fuzzy T-locality spaces, fuzzy TL-uniform spaces, fuzzy T-locality groups
DOI: 10.3233/IFS-152025
Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3045-3056, 2016
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