Journal
MATHEMATICS
Volume 6, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/math6110236
Keywords
multiple attribute decision making (MADM); Pythagorean fuzzy sets (PFSs); 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs); 2TLPFHM operator; 2TLPFWHM operator; 2TLPFDHM operator; 2TLPFDWHM operator
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Funding
- National Natural Science Foundation of China [71571128]
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [16YJA630033]
- Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province [15TD0004]
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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.
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