Kh. Kh. Murad - Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Kurdistan Region, Iraq. H. Z. Ibrahim - Department of Mathematics, Faculty of Education, University of Zakho, Zakho, Kurdistan Region, Iraq.
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.
Kh. Kh. Murad, H. Z. Ibrahim, \((3, 4)\)-fuzzy sets and their topological spaces, Journal of Mathematics and Computer Science, 28 (2023), no. 2, 158--170
Murad Kh. Kh., Ibrahim H. Z., \((3, 4)\)-fuzzy sets and their topological spaces. J Math Comput SCI-JM. (2023); 28(2):158--170
Murad, Kh. Kh., Ibrahim, H. Z.. "\((3, 4)\)-fuzzy sets and their topological spaces." Journal of Mathematics and Computer Science, 28, no. 2 (2023): 158--170
