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Computing Optimal Distances to Pareto Sets of Multi-Objective Optimization Problems in Asymmetric Normed Lattices

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Computing Optimal Distances to Pareto Sets of Multi-Objective Optimization Problems in Asymmetric Normed Lattices

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Blasco, X.; Reynoso-Meza, G.; Sánchez Pérez, EA.; Sánchez Pérez, JV. (2019). Computing Optimal Distances to Pareto Sets of Multi-Objective Optimization Problems in Asymmetric Normed Lattices. Acta Applicandae Mathematicae. 159(1):75-93. https://doi.org/10.1007/s10440-018-0184-z

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Título: Computing Optimal Distances to Pareto Sets of Multi-Objective Optimization Problems in Asymmetric Normed Lattices
Autor: Blasco, Xavier Reynoso-Meza, G. Sánchez Pérez, Enrique Alfonso Sánchez Pérez, Juan Vicente
Entidad UPV: Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials
Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Caminos, Canales y Puertos - Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports
Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Geodésica, Cartográfica y Topográfica - Escola Tècnica Superior d'Enginyeria Geodèsica, Cartogràfica i Topogràfica
Fecha difusión:
Resumen:
[EN] Given a finite dimensional asymmetric normed lattice, we provide explicit formulae for the optimization of the associated (non-Hausdorff) asymmetric distance among a subset and a point. Our analysis has its roots and ...[+]
Palabras clave: Multi-objective , Optimization , Asymmetric norm , Nearest point
Derechos de uso: Reserva de todos los derechos
Fuente:
Acta Applicandae Mathematicae. (issn: 0167-8019 )
DOI: 10.1007/s10440-018-0184-z
Editorial:
Springer-Verlag
Versión del editor: https://doi.org/10.1007/s10440-018-0184-z
Código del Proyecto:
info:eu-repo/grantAgreement/MINECO//DPI2015-71443-R/ES/DESARROLLO DE HERRAMIENTAS AVANZADAS PARA METODOLOGIAS DE DISEÑO Y OPTIMIZACION MULTIOBJETIVO EN INGENIERIA DE CONTROL. APLICACION A SISTEMAS MULTIVARIABLES/
info:eu-repo/grantAgreement/MINISTERIO DE ECONOMÍA Y COMPETITIVIDAD//MTM2016-77054-C2-1-P//ANÁLISIS NO LINEAL, INTEGRACIÓN VECTORIAL Y APLICACIONES EN CIENCIAS DE LA INFORMACIÓN/
Agradecimientos:
This work was supported by the Ministerio de Economia y Competitividad (Spain) under grants DPI2015-71443-R and MTM2016-77054-C2-1-P.
Tipo: Artículo

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