کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390977 661325 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the completion of fuzzy metric spaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
On the completion of fuzzy metric spaces
چکیده انگلیسی

This paper discusses the completion of a fuzzy metric space (in the sense of Kaleva and Seikkala) that is modeled by a pair of two-place functions, L and R. Previous work on this question is based on L=min, R=max. Under the condition that L and R are a generic class of two-place functions, we characterize the completable fuzzy metric space and show that the corresponding completion is uniquely determined up to isometry. Furthermore, we point out that with more conditions on R, including on R=max, the completion of each fuzzy metric space exists and is unique up to isometry. This improves the corresponding result of Kaleva [The completion of fuzzy metric spaces, J. Math. Anal. Appl. 109 (1985) 194–198].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 159, Issue 19, 1 October 2008, Pages 2596-2605