ADVANCES IN ROUGH IDEAL CONVERGENCE WITHIN L-FUZZY NORMED SPACES

Abstract

This study introduces and develops the concept of rough ideal convergence for
sequences in L-fuzzy normed spaces. Within this framework, it defines the notion of the rough I-limit set and investigates its topological and geometrical properties. The concept of Iboundedness for sequences is also introduced, and its relationship with the rough I-limit set is thoroughly examined. Furthermore, the study defines the rough I-cluster point of a sequence and derives several notable results concerning closed balls and their connection to the rough I-limit set in the context of L-fuzzy normed spaces.