کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390760 661300 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analogizing Hutton's quasi-uniformities for complete lattices and extending Shi's quasi-uniformities to closed set lattices
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Analogizing Hutton's quasi-uniformities for complete lattices and extending Shi's quasi-uniformities to closed set lattices
چکیده انگلیسی

This paper gives analogies of Hutton's quasi-uniformities for complete lattices and extensions of Shi's pointwise quasi-uniformities to closed set lattices. CLGOH denotes the category of all complete lattices with generalized order homomorphisms as morphisms and CSL the category of all closed set lattices. HQUnif and SPQUnif denote the categories of Hutton quasi-uniform spaces on complete lattices and Shi pointwise quasi-uniform spaces on closed set lattices, respectively. We prove that both HQUnif and SPQUnif are fibre-complete topological categories over CLGOH and CSL with respect to the expected forgetful functors, respectively. Also, a mistake in W. Kotzé [Uniform spaces, in: U. Höhle, S.E. Rodabaugh (Eds.), Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, The Handbooks of Fuzzy Sets Series, Vol. 3, Kluwer Academic Publishers, Boston, Dordrecht, London, 1999, pp. 553–580] is pointed out.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 160, Issue 9, 1 May 2009, Pages 1233-1244