Methods for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Information

Interval-valued Pythagorean fuzzy numbers (IVPFNs) can easily describe the incomplete and indeterminate information by degrees of membership and non-membership, and the Hamy mean (HM) operator and dual HM (DHM) operators are a good tool for dealing with multiple attribute decision making (MADM) prob...

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Bibliographic Details
Published in:Mathematics (Basel) Vol. 6; no. 11; p. 228
Main Authors: Li, Zengxian, Wei, Guiwu, Gao, Hui
Format: Journal Article
Language:English
Published: Basel MDPI AG 29.10.2018
Subjects:
Accuracy
Decision making
dual Hamy mean (DHM) operator
Fuzzy sets
Hamy mean (HM) operator
interval-valued Pythagorean fuzzy numbers (IVPFNs)
Mathematics
multiple attribute decision making (MADM)
Operators
ISSN:2227-7390, 2227-7390
Online Access:Get full text
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Summary:Interval-valued Pythagorean fuzzy numbers (IVPFNs) can easily describe the incomplete and indeterminate information by degrees of membership and non-membership, and the Hamy mean (HM) operator and dual HM (DHM) operators are a good tool for dealing with multiple attribute decision making (MADM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by the studies regarding the HM operator and dual HM operator, we expand the HM operator and dual HM (DMM) operator to process the interval-valued Pythagorean fuzzy numbers (IVPFNs) and then to solve the MADM problems. Firstly, we propose some HM and DHM operators with IVPFNs. Moreover, we present some new methods to solve MADM problems with the IVPFNs. Finally, an applicable example is given.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math6110228