Blasco Ferragud, FX.; Reynoso Meza, G.; Sánchez Pérez, EA.; Sánchez Pérez, JV. (2016). Asymmetric distances to improve n-dimensional Pareto fronts graphical analysis. Information Sciences. 340:228-249. https://doi.org/10.1016/j.ins.2015.12.039
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/83360
Title:
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Asymmetric distances to improve n-dimensional Pareto fronts graphical analysis
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Author:
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Blasco Ferragud, Francesc Xavier
Reynoso Meza, Gilberto
Sánchez Pérez, Enrique Alfonso
Sánchez Pérez, Juan Vicente
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UPV Unit:
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Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Departamento de Ingeniería de Sistemas y Automática - Departament d'Enginyeria de Sistemes i Automàtica
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Issued date:
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Abstract:
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isualization tools and techniques to analyze n-dimensional Pareto fronts are valuable for designers and decision makers in order to analyze straightness and drawbacks among design alternatives. Their usefulness is twofold: ...[+]
isualization tools and techniques to analyze n-dimensional Pareto fronts are valuable for designers and decision makers in order to analyze straightness and drawbacks among design alternatives. Their usefulness is twofold: on the one hand, they provide a practical framework to the decision maker in order to select the preferable solution to be imple- mented; on the other hand, they may improve the decision maker s design insight,i.e. increasing the designer s knowledge on the multi-objective problem at hand. In this work, an order based asymmetric topology for finite dimensional spaces is introduced. This asymmetric topology, associated to what we called asymmetric distance, provides a theoretical and interpretable framework to analyze design alternatives for n-dimensional Pareto fronts. The use of this asymmetric distance will allow a new way to gather dominance and relative distance together. This property can be exploited inside interactive visualization tools. Additionally, a composed norm based on asymmetric distance has been developed. The composed norm allows a fast visualization of designer preferences hypercubes when Level Diagram visualization is used for multidimensional Pareto front analysis. All these proposals are evaluated and validated through different engineering benchmarks; the presented results show the usefulness of this asymmetric topology to improve visualization interpretability.
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Subjects:
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Multi-criteria decision-making
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Asymmetric distance
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Multi-objective optimization
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Decision-making tools
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N-dimensional Pareto front
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N-dimensional Pareto front visualization
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Information Sciences. (issn:
0020-0255
) (eissn:
1872-6291
)
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DOI:
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10.1016/j.ins.2015.12.039
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Publisher:
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Elsevier
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Publisher version:
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http://doi.org/10.1016/j.ins.2015.12.039
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Project ID:
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info:eu-repo/grantAgreement/GVA//PROMETEO%2F2012%2F028/ES/EVO-CONTROL: CONTROL Y OPTIMIZACION DE PROCESOS INDUSTRIALES BASADO EN ALGORITMOS EVOLUTIVOS/
info:eu-repo/grantAgreement/CNPq//BJT-304804%2F2014-2/
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Thanks:
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This work was partially supported by EVO-CONTROL project (ref. PROMETEO/2012/028, Generalitat Valenciana - Spain) and the National Council of Scientific and Technologic Development of Brazil (CNPq) with the postdoctoral ...[+]
This work was partially supported by EVO-CONTROL project (ref. PROMETEO/2012/028, Generalitat Valenciana - Spain) and the National Council of Scientific and Technologic Development of Brazil (CNPq) with the postdoctoral fellowship BJT-304804/2014-2.
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Type:
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Artículo
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