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Soft Computing
Published in: Soft Computing 3/2020

08-05-2019 | Methodologies and Application

Group decision making based on power Heronian aggregation operators under neutrosophic cubic environment

Authors: Peide Liu, Qaisar Khan, Tahir Mahmood

Published in: Soft Computing | Issue 3/2020

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Abstract

Neutrosophic cubic sets can deal with the complex information by combining the neutrosophic sets and cubic sets, the power average (PA) can weaken some effects of awkward data from biased decision makers, and Heronian mean (HM) can deal with the interrelationship between the aggregated attributes or arguments. In this article, in order to consider the advantages of the PA and HM, we combined and extended them to process neutrosophic cubic information. Firstly, we defined a distance measure for neutrosophic cubic numbers, then we presented the neutrosophic cubic power Heronian aggregation operator and neutrosophic cubic power weighted Heronian aggregation operator, and some characters and special cases of these new aggregation operators were investigated. Furthermore, we gave a new approach for multi-attribute group decision making based on new proposed operators. Finally, two examples were given to explain the validity and advantages of the developed approach by comparing with the existing method.

Graphical abstract

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Metadata
Title
Group decision making based on power Heronian aggregation operators under neutrosophic cubic environment
Authors
Peide Liu
Qaisar Khan
Tahir Mahmood
Publication date
08-05-2019
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 3/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-04025-z

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