Models for multiple attribute decision making with some 2-tuple linguistic Pythagorean fuzzy hamy mean operators
type: Item
instance of: scholarly article
title: Models for multiple attribute decision making with some 2-tuple linguistic Pythagorean fuzzy hamy mean operators
zbMATH Open document ID: 1407.90202
author: Xiumei Deng
author: Jie Wang
author: Gui-Wu Wei
author: Mao Lu
published in: Mathematics
publication date: 2018-12-18T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C70
zbMATH DE Number: 6994839
zbMATH Keywords: multiple attribute decision making (MADM)
zbMATH Keywords: Pythagorean fuzzy sets (PFSs)
zbMATH Keywords: 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs)
zbMATH Keywords: 2TLPFHM operator
zbMATH Keywords: 2TLPFWHM operator
zbMATH Keywords: 2TLPFDHM operator
zbMATH Keywords: 2TLPFDWHM operator
MaRDI profile type: Publication
full work available at URL: math6110236
OpenAlex ID: W2899072869
Wikidata QID: Q114028046
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DOI: 10.3390/MATH6110236
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description: scientific article; zbMATH DE number 6994839