2021
DOI: 10.3390/sym13030440
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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 decisio… Show more

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Cited by 7 publications
(2 citation statements)
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“…The information representation under LPFS has been extensively explored in MAGDM methods (Ding & Liu, 2019; Liu et al, 2019; Villa Silva et al, 2021). In addition, it is also combined with a variety of classical tools to solve practical decision‐making problems, including TOPSIS (Gül & Aydoğdu, 2022; Sarkar & Biswas, 2021), TODIM (Deng & Gao, 2019), CODAS (He et al, 2020).…”
Section: Introductionmentioning
confidence: 99%
“…The information representation under LPFS has been extensively explored in MAGDM methods (Ding & Liu, 2019; Liu et al, 2019; Villa Silva et al, 2021). In addition, it is also combined with a variety of classical tools to solve practical decision‐making problems, including TOPSIS (Gül & Aydoğdu, 2022; Sarkar & Biswas, 2021), TODIM (Deng & Gao, 2019), CODAS (He et al, 2020).…”
Section: Introductionmentioning
confidence: 99%
“…Ma [32] elucidated successfully the transient thermal properties. Silva et al [33] established a relationship among linguistic variables. Recently, He and Liu [34] pointed out a possible link between the fractal dimensions and the exponents involved in the dimensionless analysis, pushing the dimensionless analysis to the research frontiers in various fields, e.g., mathematics, physics, mechanical engineering and material science.…”
Section: Introductionmentioning
confidence: 99%