L-ordered Fuzzifying Convergence Spaces
عنوان مقاله: L-ordered Fuzzifying Convergence Spaces
شناسه ملی مقاله: JR_IJFS-9-2_011
منتشر شده در در سال 1391
شناسه ملی مقاله: JR_IJFS-9-2_011
منتشر شده در در سال 1391
مشخصات نویسندگان مقاله:
Wenchao Wu - Department of Mathematics, Ocean University of China, ۲۶۶۱۰۰ Qing- dao, P. R. China
Jinming Fang - Department of Mathematics, Ocean University of China, ۲۶۶۱۰۰ Qing- dao, P. R. China
خلاصه مقاله:
Wenchao Wu - Department of Mathematics, Ocean University of China, ۲۶۶۱۰۰ Qing- dao, P. R. China
Jinming Fang - Department of Mathematics, Ocean University of China, ۲۶۶۱۰۰ Qing- dao, P. R. China
Based on a complete Heyting algebra, we modify the definition oflattice-valued fuzzifying convergence space using fuzzy inclusionorder and construct in this way a Cartesian-closed category, calledthe category of L-ordered fuzzifying convergence spaces, in whichthe category of L-fuzzifying topological spaces can be embedded.In addition, two new categories are introduced, which are called thecategory of principal L-ordered fuzzifying convergence spaces andthat of topological L-ordered fuzzifying convergence spaces, andit is shown that they are isomorphic to the category ofL-fuzzifying neighborhood spaces and that of L-fuzzifyingtopological spaces respectively.
کلمات کلیدی: L-fuzzifying topology, L-ordered fuzzifying convergence structure, L-filter, Cartesian-closed category, Reflective subcategory
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1476493/