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FUZZY BOUNDED SETS AND TOTALLY FUZZY BOUNDED SETS IN I-TOPOLOGICAL VECTOR SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 6، شماره 3، دی 2009، صفحه 73-90 اصل مقاله (299.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2009.202 | ||
| نویسندگان | ||
| Shen-Qing Jiang؛ Cong-hua Yan* | ||
| Institute of Math., school of Math. and Computer Sciences, Nanjing Normal University, Nanjing Jiangsu 210046, People0 s Republic of China | ||
| چکیده | ||
| In this paper, a new definition of fuzzy bounded sets and totally fuzzy bounded sets is introduced and properties of such sets are studied. Then a relation between totally fuzzy bounded sets and N-compactness is discussed. Finally, a geometric characterization for fuzzy totally bounded sets in I- topological vector spaces is derived. | ||
| کلیدواژهها | ||
| I-topological vector space؛ Fuzzy bounded set؛ Totally fuzzy bounded set؛ N-compact set | ||
| مراجع | ||
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