Generalized Deferred Statistical Convergence in Credibility Spaces: New Perspectives in the Ideal Setting

Abstract

In this paper, the concepts of I-deferred statistical convergence in credibility of fuzzy variable sequences are defined, and some inclusion relations between I-deferred statistical convergence in credibility and strongly I-deferred Cesàro summability in credibility of fuzzy variable sequences are explored. We observe that in credibility spaces, a sequence is strongly I-deferred Cesàro summable in credibility if and only if the sequence is I-deferred statistically convergent in credibility. Additionally, we introduce the new concept of I-deferred statistically Cauchy sequences in credibility.

Keywords

• Credibility space
• statistical convergence
• ideal convergence

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