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$L-$ordered Fuzzifying Convergence Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 9، شماره 2، شهریور 2012، صفحه 147-161 اصل مقاله (419.94 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2012.218 | ||
| نویسندگان | ||
Wenchao Wu  ؛ Jinming Fang
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| Department of Mathematics, Ocean University of China, 266100 Qing- dao, P. R. China | ||
| چکیده | ||
| Based on a complete Heyting algebra, we modify the definition of lattice-valued fuzzifying convergence space using fuzzy inclusion order and construct in this way a Cartesian-closed category, called the category of $L-$ordered fuzzifying convergence spaces, in which the category of $L-$fuzzifying topological spaces can be embedded. In addition, two new categories are introduced, which are called the category of principal $L-$ordered fuzzifying convergence spaces and that of topological $L-$ordered fuzzifying convergence spaces, and it is shown that they are isomorphic to the category of $L-$fuzzifying neighborhood spaces and that of $L-$fuzzifying topological spaces respectively. | ||
| کلیدواژه‌ها | ||
| $L-$fuzzifying topology؛ $L-$ordered fuzzifying convergence structure؛ $L-$filter؛ Cartesian-closed category؛ Reflective subcategory | ||
| مراجع | ||
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