Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making

An nth power root fuzzy set is a useful extension of for expressing uncertain data. Because their wider range showing membership grades, sets can cover more ambiguous situations than intuitionistic sets. In this article, we present several novel operations on sets, as well various features. Besides, develop new weighted aggregated operator, namely, average (nPR-FWPA) over to deal with choice information and show some basic properties. addition, define scoring function ranking. Furthermore, use operator determine the optimal location constructing home demonstrate how may choose best alternative by comparing aggregate outputs using score values. Finally, compare nPR-FWPA outcomes those other well-known operators.