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ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE FUZZY NORMED LINEAR SPACES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 5، دوره 10، شماره 3، تابستان 2013، صفحه 51-63 اصل مقاله (392.67 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2013.862 | ||
نویسندگان | ||
I. Sadeqi ![]() | ||
Department of Mathematics, Sahand university of technology, Tabriz- Iran | ||
چکیده | ||
n this paper we study the Hyers-Ulam-Rassias stability of Cauchy equation in Felbin's type fuzzy normed linear spaces. As a result we give an example of a fuzzy normed linear space such that the fuzzy version of the stability problem remains true, while it fails to be correct in classical analysis. This shows how the category of fuzzy normed linear spaces differs from the classical normed linear spaces in general. | ||
کلیدواژهها | ||
Fuzzy real number؛ Fuzzy normed space؛ Hyers-Ulam-Rassias stability | ||
مراجع | ||
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