n,m^<i>th</i> Power Root Fuzzy Set and Its Applications to Topology and Decision-Making

One of the most helpful fuzzy set extensions for dealing with information uncertainties is an n th power root set. In light this, in this paper, we define n,m set, which a new type extension and introduce their relationship n-rung orthopair n,m-rung There symmetry between values membership non-membership functions. To broaden scope decision-making problems, any function scales are used here. When disputing two or more objects, innovative concept n,mth over dual universes flexible than current notion intuitionistic as well Pythagorean Then, sets, present essential operations varied characteristics. addition, develop idea topology study its fundamental properties. Furthermore, describe disconnected sets after introducing separated sets. Moreover, thoroughly investigate characterize continuous maps. Also build T 0 xmlns:xlink="http://www.w3.org/1999/xlink">1 find connections. Finally, construct relation based on sufficient experience, provide candidate’s technique via proposed to determine suitability companies applicants.