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Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators
- Source :
- Mathematics, Vol 6, Iss 11, p 236 (2018), Mathematics, Volume 6, Issue 11
- Publication Year :
- 2018
- Publisher :
- MDPI AG, 2018.
-
Abstract
- 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.
- Subjects :
- 0209 industrial biotechnology
Selection (relational algebra)
2TLPFDHM operator
Computer science
General Mathematics
2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs)
02 engineering and technology
Fuzzy logic
020901 industrial engineering & automation
Operator (computer programming)
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
Fuzzy number
2TLPFHM operator
Engineering (miscellaneous)
2TLPFDWHM operator
Multiple attribute
2TLPFWHM operator
lcsh:Mathematics
Pythagorean theorem
multiple attribute decision making (MADM)
lcsh:QA1-939
Linguistics
Dual (category theory)
Pythagorean fuzzy sets (PFSs)
020201 artificial intelligence & image processing
Tuple
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 6
- Issue :
- 11
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....43bc57afb461ccb603b3011857daf673