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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-03-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/3/440 |
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| author | Aldo Joel Villa Silva Luis Pérez-Domínguez Erwin Martínez Gómez David Luviano-Cruz Delia Valles-Rosales |
| author_facet | Aldo Joel Villa Silva Luis Pérez-Domínguez Erwin Martínez Gómez David Luviano-Cruz Delia Valles-Rosales |
| author_sort | Aldo Joel Villa Silva |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T04:59:25Z |
| format | Article |
| id | doaj.art-bb69d7371e794920a4af77e785826bfe |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T04:59:25Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-bb69d7371e794920a4af77e785826bfe2023-12-03T13:02:21ZengMDPI AGSymmetry2073-89942021-03-0113344010.3390/sym13030440Dimensional Analysis under Linguistic Pythagorean Fuzzy SetAldo Joel Villa Silva0Luis Pérez-Domínguez1Erwin Martínez Gómez2David Luviano-Cruz3Delia Valles-Rosales4Department Ingeniería Industrial y Manufactura, Universidad Autónoma de Ciudad Juárez, 32315 Ciudad Juárez, MexicoDepartment Ingeniería Industrial y Manufactura, Universidad Autónoma de Ciudad Juárez, 32315 Ciudad Juárez, MexicoDepartment Ingeniería Industrial y Manufactura, Universidad Autónoma de Ciudad Juárez, 32315 Ciudad Juárez, MexicoDepartment Ingeniería Industrial y Manufactura, Universidad Autónoma de Ciudad Juárez, 32315 Ciudad Juárez, MexicoDepartment of Industrial Engineering, New Mexico State University, Las Cruces, NM 88003, USADimensional 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.https://www.mdpi.com/2073-8994/13/3/440multicriteria decision makingdimensional analysislinguistic pythagorean fuzzy setsupplier’s selection |
| spellingShingle | Aldo Joel Villa Silva Luis Pérez-Domínguez Erwin Martínez Gómez David Luviano-Cruz Delia Valles-Rosales Dimensional Analysis under Linguistic Pythagorean Fuzzy Set Symmetry multicriteria decision making dimensional analysis linguistic pythagorean fuzzy set supplier’s selection |
| title | Dimensional Analysis under Linguistic Pythagorean Fuzzy Set |
| title_full | Dimensional Analysis under Linguistic Pythagorean Fuzzy Set |
| title_fullStr | Dimensional Analysis under Linguistic Pythagorean Fuzzy Set |
| title_full_unstemmed | Dimensional Analysis under Linguistic Pythagorean Fuzzy Set |
| title_short | Dimensional Analysis under Linguistic Pythagorean Fuzzy Set |
| title_sort | dimensional analysis under linguistic pythagorean fuzzy set |
| topic | multicriteria decision making dimensional analysis linguistic pythagorean fuzzy set supplier’s selection |
| url | https://www.mdpi.com/2073-8994/13/3/440 |
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