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Iranian Journal of Fuzzy Systems، جلد ۸، شماره ۵، صفحات ۱۱۷-۱۳۰
عنوان فارسی ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND FUZZY BOUNDED OPERATORS
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.
کلیدواژه‌های فارسی مقاله Fuzzy analysis، Fuzzy number، Fuzzy relations،
عنوان انگلیسی ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND FUZZY BOUNDED OPERATORS
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.
کلیدواژه‌های انگلیسی مقاله Fuzzy analysis, Fuzzy number, Fuzzy relations
نویسندگان مقاله محمد جانفدا |
department of mathematics, sabzevar tarbiat moallem university, sabzevar, iran

حمید باغانی |
department of mathematics, semnan university, semnan, iran
سازمان اصلی تایید شده: دانشگاه سمنان (Semnan university)

امید باغانی |
department of mathematics, ferdowsi university of mashhad, mashhad, iran
سازمان اصلی تایید شده: دانشگاه فردوسی (Ferdowsi university)

نشانی اینترنتی http://ijfs.usb.ac.ir/article_301_74ebb1ab54f2a83281a4bc5d5a3a8241.pdf
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