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Fuzzy TL-uniform spaces,
K. A. Hashem and N. N. Mor International Journal of Mathematics and Mathematical Sciences. • 2006
Publication Information
Authors
K. A. Hashem and N. N. Morsi
Keywords
Not Available
Journal
K. A. Hashem and N. N. Mor International Journal of Mathematics and Mathematical Sciences.
Publisher
Not Available
Volume
Article ID 25094
Issue
Not Available
Pages
1-24.
publication.type
International
Paper Link
Not Available
Supplementary Materials
Not Available
Abstract
In this paper, we introduce and study the notions of T-topogenous orders
and T-syntopogenous structures on a set and investigate their properties, where T stands for any continuous triangular norm. Their definitions subsumes that of fuzzy topogenous orders and fuzzy syntopogenous structures due to A. K. Katsaras (Fuzzy Sets and Systems 36 (1990)), as our Min-topogenous orders and Min-syntopogenous structures. In particular, we study T-syntopogenous maps and an I-topological space associated with a T-syntopogenous structure. Also, we deduce the T-topogenous orders as fuzzy relations in (ordinary) power sets.
and T-syntopogenous structures on a set and investigate their properties, where T stands for any continuous triangular norm. Their definitions subsumes that of fuzzy topogenous orders and fuzzy syntopogenous structures due to A. K. Katsaras (Fuzzy Sets and Systems 36 (1990)), as our Min-topogenous orders and Min-syntopogenous structures. In particular, we study T-syntopogenous maps and an I-topological space associated with a T-syntopogenous structure. Also, we deduce the T-topogenous orders as fuzzy relations in (ordinary) power sets.