Lacunary ideal convergence in measure for sequences of fuzzy valued functions

Article type: Research Article

Authors: Kişi, Ömer^{; *}

Affiliations: Department of Mathematics, Bartın University, Faculty of Science, Bartın, Turkey

Correspondence: [*] Corresponding author. Ömer Kişi. E-mail: okisi@bartin.edu.tr.

Abstract: We investigate the concepts of pointwise and uniform Iθ -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 Iθ -convergence in measure for sequences of fuzzy valued functions and proved some significant results.

Keywords: Pointwise convergence, uniformly convergence, ideal convergence, lacunary convergence, fuzzy-valued function

DOI: 10.3233/JIFS-202624

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 3, pp. 5517-5526, 2021