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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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