Some Fuzzy-Wavelet-Like Operators and Their Convergence

Abstract EN

Firstly, we define some new fuzzy-wavelet-like operatorsvia a real-valued scaling function to approximate the continuous fuzzyfunctions of one and two variables.

Then, by using the modulus of continuity, we prove their pointwise and uniform convergence with rates to thefuzzy unit operator I.

Using these fuzzy-wavelet-like operators, we presentsome numerical examples to illustrate the applicability of the proposedmethod.

Also, we give a new method to approximate the integration ofcontinuous fuzzy real-number-valued function of two variables by usingthe fuzzy-wavelet-like operator.