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T-syntopogenous structures compatible with fuzzy T-uniformities and fuzzy T-neighbourhoods structures;
Fuzzy Sets and Systems • 2014
Publication Information
Authors
N. N. Morsi and K. A. Hashem
Keywords
Not Available
Journal
Fuzzy Sets and Systems
Publisher
Not Available
Volume
251
Issue
Not Available
Pages
23-51.
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this paper, we continue the discussion of T-syntopogenous spaces, which introduced by the second author in 2012. This manuscript shows
that the T-syntopogenous spaces agree well with each of Hashem-Morsi
fuzzy T-neighbourhood spaces (2003), fuzzy T-proximity spaces (2002)
and Höhle fuzzy T-uniform spaces (1982). Also, we show that each syntopogenous space in the sense of Csàszàr (1963), generate a
T-syntopogenous space. Finally, we deduce the concepts of fuzzy
T-neighbourhood syntopogenous structures.
that the T-syntopogenous spaces agree well with each of Hashem-Morsi
fuzzy T-neighbourhood spaces (2003), fuzzy T-proximity spaces (2002)
and Höhle fuzzy T-uniform spaces (1982). Also, we show that each syntopogenous space in the sense of Csàszàr (1963), generate a
T-syntopogenous space. Finally, we deduce the concepts of fuzzy
T-neighbourhood syntopogenous structures.