probabilistic normed groups
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abstract
in this paper, we introduce the probabilistic normed groups. among other results, we investigate the continuityof inner automorphisms of a group and the continuity of left and right shifts in probabilistic group-norm. we also study midconvex functions defined on probabilistic normed groups and give some results about locally boundedness of such functions.
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Journal title:
iranian journal of fuzzy systemsجلد ۱۴، شماره ۱، صفحات ۹۹-۱۱۳
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