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TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 3، دوره 8، شماره 1، اردیبهشت 2011، صفحه 19-28 اصل مقاله (160.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2011.233 | ||
| نویسندگان | ||
| mati Abel1؛ aleksandrs ˇSostaks* 2 | ||
| 1Institute of Pure Mathematics, University of Tartu, J.Liivi street 2, EE-50409 Tartu, Estonia | ||
| 2Department of Mathematics, University of Latvia, Zellu street 8, LV-1002, Riga, Latvia and Institute of Mathematics and CS, University of Latvia, Raina bulv. 29, LV-1586, Riga, Latvia | ||
| چکیده | ||
| The concept of an $L$-bornology is introduced and the theory of $L$-bornological spaces is being developed. In particular the lattice of all $L$-bornologies on a given set is studied and basic properties of the category of $L$-bornological spaces and bounded mappings are investigated. | ||
| کلیدواژهها | ||
| Bornology؛ $L$-set؛ $L$-bornology؛ Fuzzy set؛ fuzzy topology | ||
| مراجع | ||
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