Distance measures, weighted averages, OWA operators and Bonferroni means
Author
dc.contributor.author
Merigó Lindahl, José
Author
dc.contributor.author
Palacios Marqués, Daniel
Author
dc.contributor.author
Soto Acosta, Pedro
Admission date
dc.date.accessioned
2019-05-29T13:10:30Z
Available date
dc.date.available
2019-05-29T13:10:30Z
Publication date
dc.date.issued
2017
Cita de ítem
dc.identifier.citation
Applied Soft Computing 50 (2017) 356–366
Identifier
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15684946
Identifier
dc.identifier.other
10.1016/j.asoc.2016.11.024
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/168824
Abstract
dc.description.abstract
The ordered weighted average (OWA) is an aggregation operator that provides a parameterized family of operators between the minimum and the maximum. This paper presents the OWA weighted average distance operator. The main advantage of this new approach is that it unifies the weighted Hamming distance and the OWA distance in the same formulation and considering the degree of importance that each concept has in the analysis. This operator includes a wide range of particular cases from the minimum to the maximum distance. Some further generalizations are also developed with generalized and quasi-arithmetic means. The use of Bonferroni means under this framework is also studied. The paper ends with an application of the new approach in a group decision making problem with Dempster-Shafer belief structure regarding the selection of strategies.