Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators
The Hamy mean (HM) operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) are a special kind of Pythagorean fuzzy numbers (PFNs), which can easily describe the fuzziness in actual dec...
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MDPI AG
2018-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/6/11/236 |
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| author | Xiumei Deng Jie Wang Guiwu Wei Mao Lu |
| author_facet | Xiumei Deng Jie Wang Guiwu Wei Mao Lu |
| author_sort | Xiumei Deng |
| collection | DOAJ |
| description | The Hamy mean (HM) operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) are a special kind of Pythagorean fuzzy numbers (PFNs), which can easily describe the fuzziness in actual decision making by 2-tuple linguistic terms (2TLTs). In this paper, to consider both Hamy mean (HM) operator and 2TLPFNs, we combine the HM operator, weighted HM (WHM) operator, dual HM (DHM) operator, and dual WHM (DWHM) operator with 2TLPFNs to propose the 2-tuple linguistic Pythagorean fuzzy HM (2TLPFHM) operator, 2-tuple linguistic Pythagorean fuzzy WHM (2TLPFWHM) operator, 2-tuple linguistic Pythagorean fuzzy DHM (2TLPFDHM) operator and 2-tuple linguistic Pythagorean fuzzy DWHM (2TLPFDWHM) operator. Then some multiple attribute decision making (MADM) procedures are developed based on these operators. At last, an applicable example for green supplier selection is given. |
| first_indexed | 2024-04-13T04:22:20Z |
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| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-13T04:22:20Z |
| publishDate | 2018-10-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-9fb4f664003f4847a45e63aaa40303372022-12-22T03:02:41ZengMDPI AGMathematics2227-73902018-10-0161123610.3390/math6110236math6110236Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean OperatorsXiumei Deng0Jie Wang1Guiwu Wei2Mao Lu3College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaSchool of Business, Sichuan Normal University, Chengdu 610101, ChinaThe Hamy mean (HM) operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) are a special kind of Pythagorean fuzzy numbers (PFNs), which can easily describe the fuzziness in actual decision making by 2-tuple linguistic terms (2TLTs). In this paper, to consider both Hamy mean (HM) operator and 2TLPFNs, we combine the HM operator, weighted HM (WHM) operator, dual HM (DHM) operator, and dual WHM (DWHM) operator with 2TLPFNs to propose the 2-tuple linguistic Pythagorean fuzzy HM (2TLPFHM) operator, 2-tuple linguistic Pythagorean fuzzy WHM (2TLPFWHM) operator, 2-tuple linguistic Pythagorean fuzzy DHM (2TLPFDHM) operator and 2-tuple linguistic Pythagorean fuzzy DWHM (2TLPFDWHM) operator. Then some multiple attribute decision making (MADM) procedures are developed based on these operators. At last, an applicable example for green supplier selection is given.https://www.mdpi.com/2227-7390/6/11/236multiple attribute decision making (MADM)Pythagorean fuzzy sets (PFSs)2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs)2TLPFHM operator2TLPFWHM operator2TLPFDHM operator2TLPFDWHM operator |
| spellingShingle | Xiumei Deng Jie Wang Guiwu Wei Mao Lu Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators Mathematics multiple attribute decision making (MADM) Pythagorean fuzzy sets (PFSs) 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) 2TLPFHM operator 2TLPFWHM operator 2TLPFDHM operator 2TLPFDWHM operator |
| title | Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators |
| title_full | Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators |
| title_fullStr | Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators |
| title_full_unstemmed | Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators |
| title_short | Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators |
| title_sort | models for multiple attribute decision making with some 2 tuple linguistic pythagorean fuzzy hamy mean operators |
| topic | multiple attribute decision making (MADM) Pythagorean fuzzy sets (PFSs) 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) 2TLPFHM operator 2TLPFWHM operator 2TLPFDHM operator 2TLPFDWHM operator |
| url | https://www.mdpi.com/2227-7390/6/11/236 |
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