Prioritized induced probabilistic operator and its application in group decision making

Pérez-Arellano, LA; León-Castro, E; Avilés-Ochoa, E; Merigó, JM

Prioritized induced probabilistic operator and its application in group decision making

Pérez-Arellano, LA León-Castro, E Avilés-Ochoa, E Merigó, JM

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Publisher:: Springer Science and Business Media LLC
Publication Type:: Journal Article
Citation:: International Journal of Machine Learning and Cybernetics, 2019, 10, (3), pp. 451-462
Issue Date:: 2019-03-01

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Field	Value	Language
dc.contributor.author	Pérez-Arellano, LA
dc.contributor.author	León-Castro, E
dc.contributor.author	Avilés-Ochoa, E
dc.contributor.author	Merigó, JM
dc.date.accessioned	2020-05-11T02:10:19Z
dc.date.available	2020-05-11T02:10:19Z
dc.date.issued	2019-03-01
dc.identifier.citation	International Journal of Machine Learning and Cybernetics, 2019, 10, (3), pp. 451-462
dc.identifier.issn	1868-8071
dc.identifier.issn	1868-808X
dc.identifier.uri	http://hdl.handle.net/10453/140616
dc.description.abstract	© 2017, Springer-Verlag GmbH Germany. A new extension of the ordered weighted average (OWA) operator is presented. This new operator includes the characteristics of three other operators: the prioritized, induced and probabilistic. The name is the prioritized induced probabilistic ordered weighted average (PIPOWA) operator. This operator can be used in a group decision-making process for selection of an alternative, taking into account three aspects: (1) not all of the decision-makers are equally important, (2) the probability of success of each alternative, and (3) an induced weighted vector. In the paper, some families of this operator are presented such as the prioritized probabilistic weighted average (PPOWA) operator and the prioritized induced ordered weighted average (PIOWA) operator. Additionally, some of the parameterized family of the aggregation operators, such as the minimum, maximum and total operator, are presented as special cases. The article also generalizes the PIPOWA operator by using quasi-arithmetic means. Finally, an example for selecting an alternative dispute resolution method in a commercial dispute is presented.
dc.language	en
dc.publisher	Springer Science and Business Media LLC
dc.relation.ispartof	International Journal of Machine Learning and Cybernetics
dc.relation.isbasedon	10.1007/s13042-017-0724-2
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0801 Artificial Intelligence and Image Processing
dc.title	Prioritized induced probabilistic operator and its application in group decision making
dc.type	Journal Article
utslib.citation.volume	10
utslib.for	0801 Artificial Intelligence and Image Processing
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Information, Systems and Modelling
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2020-05-11T02:10:15Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	10
utslib.start-page	451
utslib.citation.issue	3

Abstract:

© 2017, Springer-Verlag GmbH Germany. A new extension of the ordered weighted average (OWA) operator is presented. This new operator includes the characteristics of three other operators: the prioritized, induced and probabilistic. The name is the prioritized induced probabilistic ordered weighted average (PIPOWA) operator. This operator can be used in a group decision-making process for selection of an alternative, taking into account three aspects: (1) not all of the decision-makers are equally important, (2) the probability of success of each alternative, and (3) an induced weighted vector. In the paper, some families of this operator are presented such as the prioritized probabilistic weighted average (PPOWA) operator and the prioritized induced ordered weighted average (PIOWA) operator. Additionally, some of the parameterized family of the aggregation operators, such as the minimum, maximum and total operator, are presented as special cases. The article also generalizes the PIPOWA operator by using quasi-arithmetic means. Finally, an example for selecting an alternative dispute resolution method in a commercial dispute is presented.

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http://hdl.handle.net/10453/140616