کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390874 661311 2008 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Many valued lattices and their representations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Many valued lattices and their representations
چکیده انگلیسی

This paper presents an investigation of many valued lattices from the point of view of enriched category theory. For a bounded partially ordered set P, the conditions for P to become a lattice can be postulated as existence of certain adjunctions. Reformulating these adjunctions, by aid of enriched category theory, in many valued setting, two kinds of many valued lattices, weak Ω-lattices and Ω-lattices, are introduced. It is shown that the notion of Ω-lattices coincides with that of lattice fuzzy orders of Bělohlávek; and the notion of weak Ω-lattices coincides with that of vague lattices of Demirci.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 159, Issue 1, 1 January 2008, Pages 81-94