一类仿射函数方程的模糊稳定性
On the Fuzzy Stability of an Affine Functional Equation
摘要：
本文得到了如下函数方程f（3x + y + z）+ f（x +3 y + z）+f（x + y +3 z）+f（x）+ f（y）+ f（z）= 6 f（x + y + z）的通解：在Fuzzy赋范空间中，我们建立了上述函数方程的Hyers-Ulam-Rassias稳定性。进一步证明了上述函数方程在Fuzzy赋范空间中在Hyers和Ulam意义下是稳定的。
英文摘要：
In this paper, we obtain the general solution of the following functional equation f(3x + y + z) + f(x + 3y + z) + f(x + y + 3z) + f(x) + f(y) + f(z) = 6f(x + y + z): We establish the Hyers-Ulam-Rassias stability of the above functional equation in the fuzzy normed spaces. Further we show the above functional equation is stable in the sense of Hyers and Ulam in fuzzy normed spaces.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
