کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
395256 665943 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Boolean filters and positive implicative filters of residuated lattices
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Boolean filters and positive implicative filters of residuated lattices
چکیده انگلیسی

The aim of this paper is to introduce the notions of Boolean filters and positive implicative filters in residuated lattices and to investigate their properties. Several characterizations of Boolean filters and positive implicative filters are derived. The extension theorems of implicative filters and positive implicative filters are obtained. The relations among Boolean filters, implicative filters and positive implicative filters are investigated and it is proved that Boolean filters are equivalent to implicative filters, and that every Boolean filter is a positive implicative filter, but the converse may not be true. Furthermore, the conditions under which a positive implicative filter is a Boolean filter are established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 177, Issue 24, 15 December 2007, Pages 5725–5738
نویسندگان
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