A novel approach to ideal convergence using tribonacci matrices in non-archimedean intuitionistic fuzzy normed spaces

Moin A. Ansari

Authors

Moin A. Ansari Department of Mathematics, College of Science, Jazan University P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia.

Abstract

In this paper, we cdevelop a new approach to investigate ideal (I)-convergence using regular Tribonacci triangular matrices in non-Archimedean intuitionistic fuzzy normed spaces. We define and analyze Tribonacci ideal convergence and Tribonacci Cauchy sequences, and examine their behavior in the fuzzy non-Archimedean setting. Several fundamental properties are established, together with examples and counterexamples that clarify the scope and limitations of these concepts. The results provide a useful convergence framework for abstract spaces and may motivate further investigations in fuzzy analysis, summability theory, and related areas.

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