Document Type : Research Paper


Department of Mathematics, Faculty of Mathematics and Infor- matics, M'sila University, P.O.Box 166 Ichbilia, M'sila 28105, Algeria


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.


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