کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6856042 | 1437705 | 2018 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On fuzzy uniformities induced by a fuzzy metric space
ترجمه فارسی عنوان
در یکنواختی فازی ناشی از یک فضای متریک فازی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
چکیده انگلیسی
Different types of fuzzy uniformities have been introduced in the literature standing out the notions due to Hutton, Höhle and Lowen. The main purpose of this paper is to study several methods to endow a fuzzy metric space (X,M,â), in the sense of George and Veeramani, with a probabilistic uniformity and with a Hutton [0,1](-quasi)-uniformity. We will show the functorial behavior of these constructions as well as its relation with respect to Lowen's functors and Katsaras's functors, which establish a relationship between the categories of probabilistic uniformities and Hutton [0,1](-quasi)-uniformities with the category of classical uniformities respectively. Furthermore, we also study the fuzzy topologies associated with these fuzzy uniformities.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 330, 1 January 2018, Pages 52-78
Journal: Fuzzy Sets and Systems - Volume 330, 1 January 2018, Pages 52-78
نویسندگان
Javier Gutiérrez GarcÃa, Jesús RodrÃguez-López, Salvador Romaguera,