On the other hand, we also give several terse sufficiency conditions where the fuzzy mean convergence of (G) fuzzy integrals implies the convergence in fuzzy measure and making them equivalent.

In comparison with traditional LMS algorithm, WO-LMS algorithm can achieve both lower steady mean square error and faster convergence speed.

Based on building up a model of echo canceller, the convergence of gradient-type stochastic adjustment algorithm of an adaptive filter under the mean-squared error criterion is discussed.