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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
العودة
معلومات البحث
المؤلفون K. A. Hashem and N. N. Mors
الكلمات المفتاحية Not Available
المجلة العلمية K. A. Hashem and N. N. Morsi ; Fuzzy T-neighbourhood spaces : Part 2-T-neigFuzzy Sets and systems.
الناشر Not Available
المجلد 127
العدد Not Available
الصفحات 265-280.
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
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.