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A Behavioral Analysis of WOWA and SUOWA Operators

2016; Wiley; Volume: 31; Issue: 8 Linguagem: Inglês

10.1002/int.21806

1098-111X

Bonifacio Llamazares,

Air Traffic Management and Optimization

International Journal of Intelligent SystemsVolume 31, Issue 8 p. 827-851 Research Article A Behavioral Analysis of WOWA and SUOWA Operators Bonifacio Llamazares, Corresponding Author Bonifacio Llamazares Departamento de Economía Aplicada, Instituto de Matemáticas (IMUVA), and BORDA Research Unit, Universidad de Valladolid, 47011 Valladolid SpainAuthor to whom all correspondence should be addressed; e-mail: boni@eco.uva.es.Search for more papers by this author Bonifacio Llamazares, Corresponding Author Bonifacio Llamazares Departamento de Economía Aplicada, Instituto de Matemáticas (IMUVA), and BORDA Research Unit, Universidad de Valladolid, 47011 Valladolid SpainAuthor to whom all correspondence should be addressed; e-mail: boni@eco.uva.es.Search for more papers by this author First published: 25 January 2016 https://doi.org/10.1002/int.21806Citations: 12Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract Weighted ordered weighted averaging (WOWA) and semiuninorm-based ordered weighted averaging (SUOWA) operators are two families of aggregation functions that simultaneously generalize weighted means and OWA operators. Both families can be obtained by using the Choquet integral with respect to normalized capacities. Therefore, they are continuous, monotonic, idempotent, compensative, and homogeneous of degree 1 functions. Although both families fulfill good properties, there are situations where their behavior is quite different. The aim of this paper is to analyze both families of functions regarding some simple cases of weighting vectors, the capacities from which they are building, the weights affecting the components of each vector, and the values they return. Citing Literature Volume31, Issue8August 2016Pages 827-851 RelatedInformation