2025-05

Journal of Mathematics and Computer Science (JMCS) (Issue : 2) (Volume : 28)

The aim of this paper is to introduce the concept of (3, 4)-fuzzy sets. We compare (3, 4)-fuzzy sets with intuitionistic fuzzy sets, Pythagorean fuzzy sets, and Fermatean fuzzy sets. We focus on the complement of (3, 4)-fuzzy sets. We construct some of the fundamental set of operations of the (3, 4)-fuzzy sets. Due to their larger range of describing membership grades, (3, 4)-fuzzy sets can deal with more uncertain situations than other types of fuzzy sets. For ranking (3, 4)-fuzzy sets, we define a score function and an accuracy function. In addition, we introduce the concept of (3, 4)-fuzzy topological space. Ultimately, we define (3, 4)-fuzzy continuity of a map defined between (3, 4)-fuzzy topological spaces and we characterize this concept