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A FUZZY VERSION OF HAHN-BANACH EXTENSION THEOREM | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 10، شماره 4، آبان 2013، صفحه 57-66 اصل مقاله (315.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2013.1047 | ||
| نویسنده | ||
| Lemnaouar Zedam* | ||
| Department of Mathematics, Faculty of Mathematics and Infor- matics, M'sila University, P.O.Box 166 Ichbilia, M'sila 28105, Algeria | ||
| چکیده | ||
| In this paper, a fuzzy version of the analytic form of Hahn-Banach extension theorem is given. As application, the Hahn-Banach theorem for $r$-fuzzy bounded linear functionals on $r$-fuzzy normed linear spaces is obtained. | ||
| کلیدواژهها | ||
| Fuzzy order؛ $r$-fuzzy bounded linear functional؛ $r$-fuzzy norm؛ $r$-fuzzy Hahn-Banach theorem | ||
| مراجع | ||
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