کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
391089 661341 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fuzzy equivalence relations and their equivalence classes
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Fuzzy equivalence relations and their equivalence classes
چکیده انگلیسی

In this paper we investigate various properties of equivalence classes of fuzzy equivalence relations over a complete residuated lattice. We give certain characterizations of fuzzy semi-partitions and fuzzy partitions over a complete residuated lattice, as well as over a linearly ordered complete Heyting algebra. In the latter case, for a fuzzy equivalence relation over a linearly ordered complete Heyting algebra, we construct an algorithm for calculation of a minimal family of its equivalence classes which generates it. Most of the presented results are new, but some of them are generalizations of known results given in a way which simplifies and clarifies them.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 158, Issue 12, 16 June 2007, Pages 1295-1313