Subsequently, soft sets and rough sets frequently inspires the exploration Gorzalczany [16] introduced the notion of of theories related to soft covering-based rough interval-valued fuzzy sets, where the membership degree sets [2, 3, 11, 13, 43], attaining substantial relevance of set elements lies within the interval [0,1]. in specific domains. However, in fuzzy environments, Interval-valued fuzzy sets are adept at handling scenarios rough set theory demonstrates inherent limitations, as where precise probabilities of set membership discussed in [42]. To overcome these challenges, Zhang are elusive, offering instead an interval within which and Zhan[42] integrated fuzzy sets, soft sets, and rough such probabilities are constrained [16, 29].