کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390761 661300 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New definition of locally convex L-topological vector spaces
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
New definition of locally convex L-topological vector spaces
چکیده انگلیسی

In this paper, a new definition of locally convex L-topological vector spaces is given. The relationship between this new definition and the previous definition of locally convex L-topological vector spaces given by Yan and Fang in 1999 is investigated. Moreover, the concept of generalized L-fuzzy semi-norm is introduced. By using a family of generalized L-fuzzy semi-norms, a characterization of the new locally convex L-topological vector spaces is presented. Finally, as applications of this characterization, the Hausdorff separation property, convergence of molecule nets and boundedness of L-fuzzy sets in locally convex L-topological vector spaces are studied.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 9, 1 May 2009, Pages 1245-1255