Fuzzy Sets and Systems, ( ISI ), Volume (159), Year (2008-5) , Pages (720-729)

Title : Mirmostafaee, A. K.; Mirzavaziri, M.; Moslehian, M. S. Fuzzy stability of the Jensen functional equation. Fuzzy Sets and Systems 159 (2008), no. 6, 730--738 ( Fuzzy versions of Hyers–Ulam–Rassias theorem )

Authors: Seyyed Alireza Kamel Mirmostafaee , Mohammad Sal Moslehian ,

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Abstract

We introduce three reasonable versions of fuzzy approximately additive functions in fuzzy normed spaces. More precisely, we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in a fuzzy sense.

Keywords

Fuzzy normed space; Additive function; Hyers–Ulam–Rassias stability
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@article{paperid:1004941,
author = {Kamel Mirmostafaee, Seyyed Alireza and Sal Moslehian, Mohammad},
title = {Mirmostafaee, A. K.; Mirzavaziri, M.; Moslehian, M. S. Fuzzy stability of the Jensen functional equation. Fuzzy Sets and Systems 159 (2008), no. 6, 730--738},
journal = {Fuzzy Sets and Systems},
year = {2008},
volume = {159},
month = {May},
issn = {0165-0114},
pages = {720--729},
numpages = {9},
keywords = {Fuzzy normed space; Additive function; Hyers–Ulam–Rassias stability},
}

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%0 Journal Article
%T Mirmostafaee, A. K.; Mirzavaziri, M.; Moslehian, M. S. Fuzzy stability of the Jensen functional equation. Fuzzy Sets and Systems 159 (2008), no. 6, 730--738
%A Kamel Mirmostafaee, Seyyed Alireza
%A Sal Moslehian, Mohammad
%J Fuzzy Sets and Systems
%@ 0165-0114
%D 2008

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