Dimensional analysis under linguistic pythagorean fuzzy set

Abstract

Dimensional analysis under linguistic Pythagorean fuzzy set (DA‐LPFS) is a technique to handle qualitative (intangible) as well as the interactions between criteria, by combining dimensional analysis (DA) and Pythagorean fuzzy set (PFS) with linguistic variables. In this paper, a novel DA method is proposed for LPFSs based in a PFS extension, in order to consider the mutual relationship among criteria and handle qualitative (fuzzy) and quantitative (crisp) information usually involved in Multi‐criteria decision making (MCDM) problems. Finally, DA‐LPFS is applied to handle a case concerning the selection of CNC router to illustrate the applicability of the method.