Fuzzy Stability of a General Quadratic Functional Equation

We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧)+𝑓(𝑥−𝑦)+𝑓(𝑥−𝑧)−𝑓(𝑥−𝑦−𝑧)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)=0 in the sense of M. Mirmostafaee and M. S. Moslehian.

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Main Authors: Sun Sook Jin, Yang-Hi Lee
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2011/791695
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author Sun Sook Jin
Yang-Hi Lee
author_facet Sun Sook Jin
Yang-Hi Lee
author_sort Sun Sook Jin
collection DOAJ
description We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧)+𝑓(𝑥−𝑦)+𝑓(𝑥−𝑧)−𝑓(𝑥−𝑦−𝑧)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)=0 in the sense of M. Mirmostafaee and M. S. Moslehian.
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spelling doaj-art-b6a943ee2cd04738b745c24834b05fee2025-08-20T02:23:11ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2011-01-01201110.1155/2011/791695791695Fuzzy Stability of a General Quadratic Functional EquationSun Sook Jin0Yang-Hi Lee1Department of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaDepartment of Mathematics Education, Gongju National University of Education, Gongju 314-711, Republic of KoreaWe investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧)+𝑓(𝑥−𝑦)+𝑓(𝑥−𝑧)−𝑓(𝑥−𝑦−𝑧)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)=0 in the sense of M. Mirmostafaee and M. S. Moslehian.http://dx.doi.org/10.1155/2011/791695
spellingShingle Sun Sook Jin
Yang-Hi Lee
Fuzzy Stability of a General Quadratic Functional Equation
Advances in Fuzzy Systems
title Fuzzy Stability of a General Quadratic Functional Equation
title_full Fuzzy Stability of a General Quadratic Functional Equation
title_fullStr Fuzzy Stability of a General Quadratic Functional Equation
title_full_unstemmed Fuzzy Stability of a General Quadratic Functional Equation
title_short Fuzzy Stability of a General Quadratic Functional Equation
title_sort fuzzy stability of a general quadratic functional equation
url http://dx.doi.org/10.1155/2011/791695
work_keys_str_mv AT sunsookjin fuzzystabilityofageneralquadraticfunctionalequation
AT yanghilee fuzzystabilityofageneralquadraticfunctionalequation