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ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND FUZZY BOUNDED OPERATORS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 8، شماره 5، دی 2011، صفحه 117-130 اصل مقاله (220.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2011.301 | ||
| نویسندگان | ||
Mohammad Janfada  1؛ Hamid Baghani2؛ Omid Baghani3
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| 1Department of Mathematics, Sabzevar Tarbiat Moallem University, Sabzevar, Iran | ||
| 2Department of Mathematics, Semnan University, Semnan, Iran | ||
| 3Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| چکیده | ||
| In this note, we aim to present some properties of the space of all weakly fuzzy bounded linear operators, with the Bag and Samanta’s operator norm on Felbin’s-type fuzzy normed spaces. In particular, the completeness of this space is studied. By some counterexamples, it is shown that the inverse mapping theorem and the Banach-Steinhaus’s theorem, are not valid for this fuzzy setting. Also finite dimensional normed fuzzy spaces are considered briefly. Next, a Hahn-Banach theorem for weakly fuzzy bounded linear functional with some of its applications are established. | ||
| کلیدواژه‌ها | ||
| Fuzzy analysis؛ Fuzzy number؛ Fuzzy relations | ||
| مراجع | ||
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