On the Bivariate Lacunary Statistical Convergence of Order ϖ in Rough Set Theory

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Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 29 Sayı: 3
On the Bivariate Lacunary Statistical Convergence of Order ϖ in Rough Set Theory

On the Bivariate Lacunary Statistical Convergence of Order ϖ in Rough Set Theory

Authors : Rabia Savas

Pages : 621-629

Doi:10.19113/sdufenbed.1751267

View : 38 | Download : 221

Publication Date : 2025-12-25

Article Type : Research Paper

Abstract :The approach to convergence for sequences involving uncertainty has gained increasing attention with the development of rough set theory, originally formulated by Pawlak to address imprecise and vague information. Using this foundation as a basis, various generalizations have been introduced, including Liu\\\'s definition of the convergence of rough sequences. In this article we extend the notion of rough convergence to the concept of bivariate sequences, introducing a new concept of lacunary statistical convergence of order ϖ for rough variables. This approach integrates the irregular indexing of lacunary sequences with the structure of rough bivariate data, offering a more comprehensive and adaptable convergence framework. The proposed method is also compared with classical summability techniques, and its behavior is analyzed through theoretical results that demonstrate its potential applications in dealing with complex uncertain data structures.
Keywords : Lacunary istatistiksel yakınsama, ϖ dereceden iki değişkenli istatistiksel yakınsama, rough değişkenler

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