GENERALIZED ROUGH STATISTICAL CONVERGENCE OF ORDER α FOR DOUBLE SEQUENCES IN NEUTROSOPHIC FUZZY NORMED SPACES VIA COMPACT LINEAR OPERATORS

Abstract

This paper introduces the concept of rough ideal statistical convergence of order ? (0 < ? < 1) for double sequences in neutrosophic fuzzy normed spaces using a compact linear operator. We define and examine rough I2-statistical boundedness, rough I2-statistical cluster points, and rough I2-statistical limit points in this context. Several properties and relationships among these notions are established, providing new insights into convergence behavior in neutrosophic fuzzy normed spaces. © Palestine Polytechnic University-PPU 2026.