Lacunary ideal convergence in measure for sequences of fuzzy valued functions

Abstract

We investigate the concepts of pointwise and uniform I-theta-convergence and type of convergence lying between mentioned convergence methods, that is, equi-ideally lacunary convergence of sequences of fuzzy valued functions and acquire several results. We give the lacunary ideal form of Egorov's theorem for sequences of fuzzy valued measurable functions defined on a finite measure space (X, M, mu). We also introduce the concept of I-theta-convergence in measure for sequences of fuzzy valued functions and proved some significant results.