کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390992 661328 2009 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Ranks of additive generators
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Ranks of additive generators
چکیده انگلیسی

For additive generators of t-norms and t-conorms, the concept of a rank is introduced. It is shown that cancellative and conditionally cancellative t-norms have only additive generators with an infinite rank. The conditions for additive generators with finite ranks are introduced and several examples are given. It is shown that the pseudo-inverse to the Cantor function is an additive generator with rank 2 of a t-conorm C and that for all m∈N, m⩾2 this t-conorm has an additive generator with rank m.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 14, 16 July 2009, Pages 2032-2048