(2,1)-Fuzzy sets: properties, weighted aggregated operators and their applications to multi-criteria decision-making methods

Abstract Orthopair fuzzy sets are in which every element is represented by a pair of values the unit interval, one refers to membership and other non-membership. The different types orthopair given literature distinguished according proposed constrain for non-membership grades. aim writing this manuscript familiarize new class called “(2,1)-Fuzzy sets” good enough control some real-life situations. We compare (2,1)-Fuzzy with IFSs their celebrated extensions. Then, we put forward fundamental set operations investigate main properties. Also, define score accuracy functions apply rank sets. Moreover, reformulate aggregation operators be used Finally, develop successful technique “aggregation operators” handle multi-criteria decision-making (MCDM) problems environment To show effectiveness usability MCDM problems, an illustrative example provided.