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Approaches to Multiple Attribute Decision Making with Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Information
- Source :
- Mathematics, Vol 6, Iss 10, p 201 (2018), Mathematics, Volume 6, Issue 10
- Publication Year :
- 2018
- Publisher :
- MDPI AG, 2018.
-
Abstract
- The Maclaurin symmetric mean (MSM) operator is a classical mean type aggregation operator used in modern information fusion theory, which is suitable to aggregate numerical values. The prominent characteristic of the MSM operator is that it can capture the interrelationship among multi-input arguments. Motivated by the ideal characteristic of the MSM operator, in this paper, we expand the MSM operator, generalized MSM (GMSM), and dual MSM (DMSM) operator with interval-valued 2-tuple linguistic Pythagorean fuzzy numbers (IV2TLPFNs) to propose the interval-valued 2-tuple linguistic Pythagorean fuzzy MSM (IV2TLPFMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy weighted MSM (IV2TLPFWMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy GMSM (IN2TLPFGMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy weighted GMSM (IV2TLPFWGMSM) operator, interval-valued 2-tuple linguistic Pythagorean fuzzy DMSM (IN2TLPFDMSM) operator, Interval-valued 2-tuple linguistic Pythagorean fuzzy weighted DMSM (IV2TLPFWDMSM) operator. Then the multiple attribute decision making (MADM) methods are developed with these three operators. Finally, an example of green supplier selection is used to show the proposed methods.
- Subjects :
- 0209 industrial biotechnology
Selection (relational algebra)
Computer science
General Mathematics
02 engineering and technology
Type (model theory)
Fuzzy logic
020901 industrial engineering & automation
Operator (computer programming)
interval-valued 2-tuple linguistic Pythagorean fuzzy MSM (IV2TLPFMSM) operator
0202 electrical engineering, electronic engineering, information engineering
Computer Science (miscellaneous)
Fuzzy number
Engineering (miscellaneous)
Interval-Valued 2-Tuple Linguistic Pythagorean Fuzzy Generalized MSM (IV2TLPFGMSM) operator
Ideal (set theory)
lcsh:Mathematics
Pythagorean theorem
multiple attribute decision making (MADM)
lcsh:QA1-939
Pythagorean fuzzy numbers
Linguistics
Interval-valued 2-tuple linguistic Pythagorean fuzzy set (IV2TLPFSs)
interval-valued 2-tuple linguistic Pythagorean fuzzy dual MSM (IV2TLPFDMSM) operator
green supplier selection
020201 artificial intelligence & image processing
Tuple
Subjects
Details
- ISSN :
- 22277390
- Volume :
- 6
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....6a987e0c2ff9fa2fe9ab6ff09915fca2