Dimensional Analysis under Linguistic Pythagorean Fuzzy Set

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...

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Bibliographic Details
Main Authors: Aldo Joel Villa Silva, Luis Pérez-Domínguez, Erwin Martínez Gómez, David Luviano-Cruz, Delia Valles-Rosales
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Symmetry
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Online Access:https://www.mdpi.com/2073-8994/13/3/440
Description
Summary: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.
ISSN:2073-8994