کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390295 661239 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Characterizing when an ordinal sum of t-norms is a t-norm on bounded lattices
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Characterizing when an ordinal sum of t-norms is a t-norm on bounded lattices
چکیده انگلیسی

One of the most important operators in soft computing are the triangular norms (t-norms), as well as the combination among them. The ordinal sum of triangular norms on [0, 1] has been used to construct other triangular norms. However, on a bounded lattice, an ordinal sum of t-norms may not be a t-norm. Several necessary and sufficient conditions are presented in this paper for ensuring whether an ordinal sum on a bounded lattice of arbitrary t-norms is, in fact, a t-norm. Moreover, we show that a large set of ordinal sums verify these conditions. Hence, they are very interesting in order to verify whether an ordinal sum on a bounded lattice is a t-norm for a particular family of t-norms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 202, 1 September 2012, Pages 75-88