کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
390081 | 661211 | 2010 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
I-fuzzy topological groups
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, the concept of I-fuzzy topological groups is introduced and some of its properties are discussed. Considering Jin-ming Fang's notion of I-fuzzy quasi-coincident neighborhood system [Fuzzy Sets and Systems 147 (2004) 317–325], we obtained a characterization of I-fuzzy topological groups in terms of the corresponding I-fuzzy quasi-coincident neighborhood system at identity element. Finally, we showed that the category of I-fuzzy topological groups and fuzzy continuous homomorphisms is isomorphic to the category of antichain I-topological groups and I-continuous homomorphisms; and the category I-fuzzy topological groups is topological over the category of groups with respect to the forgetful functor.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 161, Issue 16, 16 August 2010, Pages 2166-2180
Journal: Fuzzy Sets and Systems - Volume 161, Issue 16, 16 August 2010, Pages 2166-2180