کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
391378 661389 2006 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
T-equalities as fuzzy non-Archimedean metrics and Δ+-fuzzy equivalences of type S
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
T-equalities as fuzzy non-Archimedean metrics and Δ+-fuzzy equivalences of type S
چکیده انگلیسی

The starting point of our approach is the remark that a fuzzy T-equality can be regarded as a fuzzy non-Archimedean metric. Accordingly, we propose a generalization of the notions of T-equivalence and T-equality, by replacing the numbers E(x,y) with generalized distribution functions. Thus, we introduce the concepts of fuzzy T-equivalence of type S and fuzzy T-equality of type S, where T is a Menger norm and S is an operation on the nonnegative extended reals. By using specific methods from probabilistic metric spaces theory, concrete formulas for generated metrics, slightly extending some similar results of De Baets and Mesiar, are also given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 157, Issue 20, 16 October 2006, Pages 2751-2761