ON APPROXIMATE CAUCHY EQUATION IN FELBIN'S TYPE FUZZY NORMED LINEAR SPACES

نویسندگان
Salehi, M. ID 1
Sadeqi, I. ID 2
Moradlou, F. ID 3

1 Department of Mathematics, Sahand university of technology, Tabriz- Iran

2 Department of Mathematics, Sahand university of technology, Tabriz- Iran

3 Department of Mathematics, Sahand university of technology, Tabriz- Iran

doi
10.22111/ijfs.2013.862
چکیده

n this paper we study the Hyers-Ulam-Rassias stability of Cauchyequation in Felbin's type fuzzy normed linear spaces. As a resultwe give an example of a fuzzy normed linear space such that thefuzzy version of the stability problem remains true, while it failsto be correct in classical analysis. This shows how the category offuzzy normed linear spaces differs from the classical normed linearspaces in general.

کلیدواژه‌ها
Fuzzy real number, Fuzzy normed space, Hyers-Ulam-Rassias stability