International Journal of Mathematics and Mathematical Sciences (Jan 2011)

Fuzzy Stability of a Quadratic-Additive Functional Equation

  • Sun Sook Jin,
  • Yang Hi Lee

DOI
https://doi.org/10.1155/2011/504802
Journal volume & issue
Vol. 2011

Abstract

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We investigate a fuzzy version of stability for the functional equation 𝑓(𝑥+𝑦+𝑧+𝑤)+2𝑓(𝑥)+2𝑓(𝑦)+2𝑓(𝑧)+2𝑓(𝑤)−𝑓(𝑥+𝑦)−𝑓(𝑥+𝑧)−𝑓(𝑥+𝑤)−𝑓(𝑦+𝑧)−𝑓(𝑦+𝑤)−𝑓(𝑧+𝑤)=0.