کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
429777 687672 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bases of closure systems over residuated lattices
ترجمه فارسی عنوان
پایه های سیستم های بسته شدن بیش از شبکه های مجاز
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
چکیده انگلیسی


• The problem of bases of closure systems arising in data with grades is described.
• Decomposition of closure operators into two simpler ones is found.
• Methods for computing bases are provided.

We present results on bases of closure systems over residuated lattices, which appear in applications of fuzzy logic. Unlike the Boolean case, the situation is not straightforward as there are two non-commuting generating operations involved. We present a decomposition theorem for a general closure operator and utilize it for computing generators and bases of the closure system. We show that bases are not unique and may in general have different sizes, and obtain a constructive description of the size of a largest base. We prove that if the underlying residuated lattice is a chain, all bases have the same size.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computer and System Sciences - Volume 82, Issue 2, March 2016, Pages 357–365
نویسندگان
, ,