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Iranian Journal of Fuzzy Systems، جلد ۸، شماره ۵، صفحات ۱۱۷-۱۳۰
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| عنوان فارسی |
ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND
FUZZY BOUNDED OPERATORS |
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| چکیده فارسی مقاله |
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. |
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| کلیدواژه‌های فارسی مقاله |
Fuzzy analysis، Fuzzy number، Fuzzy relations، |
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| عنوان انگلیسی |
ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND
FUZZY BOUNDED OPERATORS |
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| چکیده انگلیسی مقاله |
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. |
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| کلیدواژه‌های انگلیسی مقاله |
Fuzzy analysis, Fuzzy number, Fuzzy relations |
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| نویسندگان مقاله |
Mohammad Janfada |
Department of Mathematics, Sabzevar Tarbiat Moallem University,
Sabzevar, Iran
Hamid Baghani |
Department of Mathematics, Semnan University, Semnan, Iran
Omid Baghani |
Department of Mathematics, Ferdowsi University of Mashhad, Mashhad,
Iran
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| نشانی اینترنتی |
http://ijfs.usb.ac.ir/article_301_74ebb1ab54f2a83281a4bc5d5a3a8241.pdf |
| فایل مقاله |
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| کد مقاله (doi) |
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| زبان مقاله منتشر شده |
en |
| موضوعات مقاله منتشر شده |
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| نوع مقاله منتشر شده |
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