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Fuzzy T-neighbourhood spaces : Part 2-T-neighbourhood systems .
K. A. Hashem and N. N. Morsi ; Fuzzy T-neighbourhood spaces : Part 2-T-neigFuzzy Sets and systems. • 2002
Publication Information
Authors
K. A. Hashem and N. N. Mors
Keywords
Not Available
Journal
K. A. Hashem and N. N. Morsi ; Fuzzy T-neighbourhood spaces : Part 2-T-neigFuzzy Sets and systems.
Publisher
Not Available
Volume
127
Issue
Not Available
Pages
265-280.
publication.type
International
Paper Link
Not Available
Supplementary Materials
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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.