On Lacunary Z-Convergence of Sequence in Credibility Space

Abstract

The aim of this research article is to introduce the concept of strongly lacunary ideal convergence of sequences of fuzzy variables in a credibility space in different directions. We define strongly lacunary ideal convergence via credibility measure, credibility distribution function and expected value of the fuzzy variables which are indeed elements of the sequences. Furthermore, we initiate two more notions of convergences by reducing the size of the domain of fuzzy variables. We show existence of such types of sequences and establish interrelationships between different notions.