کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390157 661220 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An identification theorem for the completion of the Hausdorff fuzzy metric
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
An identification theorem for the completion of the Hausdorff fuzzy metric
چکیده انگلیسی

We prove that given a fuzzy metric space (in the sense of Kramosil and Michalek), the completion of its Hausdorff fuzzy metric space is isometric to the Hausdorff fuzzy metric space of its completion, when the Hausdorff fuzzy metrics are defined on the respective collections of non-empty closed subsets. As a consequence, we deduce the corresponding result for metric spaces by using the standard fuzzy metric. An application to the extension of multivalued mappings and some illustrative examples are also given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 227, 16 September 2013, Pages 96-106