INTUITIONISTIC FUZZY STABILITY OF AN EULER-LAGRANGE TYPE QUARTIC FUNCTIONAL EQUATION

초록

In this paper, we investigate the Hyers-Ulam stability of the following Euler-Lagrange type quartic functional equation f(ax + y) +f(x + ay) + 1/2a(a- 1)(2)f(x- y) 1 =(a(2) - 1)(2)(f(x) +f(y)) + 1/2a(a+ 1)(2)f(x+y) in intuitionistic fuzzy normed spaces, where a not equal 0, a not equal +/- 1. Furthermore, we investigate intuitionistic fuzzy continuity through the existence of a certain solution of a fuzzy stability problem for approximately Euler-Lagrange quartic functional equation.

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