Lacunary ideal convergence in measure for sequences of fuzzy valued functions

Abstract

We investigate the concepts of pointwise and uniform I θ -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 , μ ) . We also introduce the concept of I θ -convergence in measure for sequences of fuzzy valued functions and proved some significant results.

On ideal convergence of rough triple sequence

“…When one considers I-convergence, it is reasonable to assume that I f in ⊂ I = P (N). Several generalizations and applications of statistical convergence have been presented, see [1,3,4,8,9,19,21,22].…”

Triple Lacunary Sequence Spaces for Fuzzy Numbers

“…Lacunary istatistiksel yakınsaklık düşüncesi Fridy ve Orhan [10] tarafından tanımlanmış ve toplanabilirlik yöntemini istatistiksel yakınsama ile diğer toplanabilirlik yöntemleriyle karşılaştırmışlardır. Bu kavramın birçok uygulaması [14,26,41,[45][46] kaynaklarından bulunabilir.…”