NEW APPROACHES TO CONVERGENCE OF DOUBLE DIFFERENCE SEQUENCES IN L-FUZZY NORMED SPACE

Abstract

This paper introduces the concept of rough ideal convergence for double difference sequences in L-fuzzy normed spaces. It defines the rough J2 limit set and investigates its topological and geometric properties. The study also presents the notion of J2-boundedness and examines its relationship with the rough J2 limit set. Furthermore, the concept of a rough J2-cluster point is developed, establishing key results that reveal the connection between closed balls and rough J2 limit sets in L-fuzzy normed spaces. © 2026, Gakko Tosho Co. Ltd.. All rights reserved.