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Fuzzy Stability of a Quadratic-Additive Functional Equation

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International Journal of Mathematics and Mathematical Sciences
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Abstract

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

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