Models for Multiple Attribute Decision Making with Some 2-Tuple Linguistic Pythagorean Fuzzy Hamy Mean Operators

Xiumei Deng, Jie Wang, Guiwu Wei and Mao Lu
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Xiumei Deng: College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China
Jie Wang: School of Business, Sichuan Normal University, Chengdu 610101, China
Guiwu Wei: School of Business, Sichuan Normal University, Chengdu 610101, China
Mao Lu: School of Business, Sichuan Normal University, Chengdu 610101, China

Mathematics, 2018, vol. 6, issue 11, 1-28

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.

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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