Adaptive Penalty and Barrier function based on Fuzzy Logic

Ver registo simples
dc.contributor.authorMatias, João
dc.contributor.authorCorreia, Aldina
dc.contributor.authorMestre, Pedro
dc.contributor.authorSerodio, Carlos
dc.contributor.authorCouto, Pedro
dc.contributor.authorTeixeira, Christophe
dc.contributor.authorMelo-Pinto, Pedro
dc.date.accessioned2016-11-07T10:20:55Z
dc.date.available2016-11-07T10:20:55Z
dc.date.issued2015
dc.description.abstractOptimization methods have been used in many areas of knowledge, such as Engineering, Statistics, Chemistry, among others, to solve optimization problems. In many cases it is not possible to use deriva- tive methods, due to the characteristics of the problem to be solved and/or its constraints, for example if the involved functions are non-smooth and/or their derivatives are not know. To solve this type of prob- lems a Java based API has been implemented, which includes only derivative-free optimization methods, and that can be used to solve both constrained and unconstrained problems. For solving constrained problems, the classic Penalty and Barrier functions were included in the API. In this paper a new approach to Penalty and Barrier functions, based on Fuzzy Logic, is proposed. Two penalty functions, that impose a progressive penalization to solutions that violate the constraints, are discussed. The implemented func- tions impose a low penalization when the violation of the constraints is low and a heavy penalty when the violation is high. Numerical results, obtained using twenty-eight test problems, comparing the pro- posed Fuzzy Logic based functions to six of the classic Penalty and Barrier functions are presented. Considering the achieved results, it can be concluded that the proposed penalty functions besides being very robust also have a very good performance.pt
dc.description.sponsorshipThis work is supported by the European Union Funds (FEDER/COMPETE – Operational Competitiveness Programme) and by national funds (FCT – Portuguese Foundation for Science and Technology) under the projects PEst-OE/MAT/UI4080/2011 and PEst-OE/AGR/UI4033/2014.pt
dc.identifier.urihttp://hdl.handle.net/10348/6712
dc.language.isoengpt
dc.peerreviewedyespt
dc.relation.ispartofCITAB - Centro de Investigação e de Tecnologias Agro-Ambientais e Biológicaspt
dc.relation.ispartofCM - Centro de Matemáticapt
dc.rightsrestricted accesspt
dc.subjectApplicationspt
dc.subjectFuzzy mathematical programmingpt
dc.subjectMathematicspt
dc.subjectDerivative free optimizationpt
dc.subjectDirect search methodspt
dc.subjectPenalty and Barrier functionspt
dc.subjectFuzzy Logicpt
dc.titleAdaptive Penalty and Barrier function based on Fuzzy Logicpt
dc.typejournal articlept
degois.publication.firstPage6777pt
degois.publication.issueIssue 19pt
degois.publication.lastPage6783pt
degois.publication.titleExpert Systems with Applicationspt
degois.publication.volume42pt
dspace.entity.typePublicationen
Ficheiros
Principais
A mostrar 1 - 1 de 1
Nome:
1-s2.0-S0957417415003127-main.pdf
Tamanho:
645.69 KB
Formato:
Adobe Portable Document Format
Ver/Abrir
Coleções
DMAT - Artigo publicado em Revista Científica Indexada
Polo CMAT-UTAD - Artigo publicado em Revista Científica Indexada