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Expert estimates averaging by constructing intuitionistic fuzzy triangles

dc.contributor.authorKrylovas, Aleksandras
dc.contributor.authorKosareva, Natalja
dc.date.accessioned2023-09-18T20:42:30Z
dc.date.available2023-09-18T20:42:30Z
dc.date.issued2015
dc.identifier.issn1392-6292
dc.identifier.other(BIS)VGT02-000030304
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/151702
dc.description.abstractThe problem of ranking (sorting) of m alternatives is considered when experts evaluate each alternative according to k criteria. Functions of arithmetic and geometric averages are constructed for decision making. We present a generalization of this scheme when there are evaluation matrices of several experts and this information is aggregated in the form of triangular intuitionistic fuzzy numbers. Fuzzy triangles were constructed with di erent uncertainty levels, experts decision matrices and the number of experts varied from 2 to 5. Moreover, method for construction of experts decision probability matrices is proposed in the paper. Ranking results obtained by performing Monte Carlo simulations. Probabilities of errors are compared for arithmetic, geometric, fuzzy arithmetic and fuzzy geometric averages.eng
dc.formatPDF
dc.format.extentp. 409-421
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyIndex Copernicus
dc.relation.isreferencedbyMathSciNet
dc.relation.isreferencedbyINSPEC
dc.relation.isreferencedbyICONDA
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbyZentralblatt MATH (zbMATH)
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.source.urihttp://www.tandfonline.com/doi/pdf/10.3846/13926292.2015.1049970
dc.subjectFM03 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai ir metodai / Mathematical models and methods of physical, technological and economic processes
dc.titleExpert estimates averaging by constructing intuitionistic fuzzy triangles
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references17
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVilniaus Gedimino technikos universitetas Mykolo Romerio universitetas
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.ltspecializationsL104 - Nauji gamybos procesai, medžiagos ir technologijos / New production processes, materials and technologies
dc.subject.enIntuitionistic fuzzy numbers
dc.subject.enMonte Carlo simulations
dc.subject.enMultiple criteria decision making
dcterms.sourcetitleMathematical modelling and analysis : the Baltic journal on mathematical applications, numerical analysis and differential equations
dc.description.issueno. 3
dc.description.volumeVol. 20
dc.publisher.nameTechnika
dc.publisher.cityVilnius
dc.identifier.doi10.3846/13926292.2015.1049970
dc.identifier.elaba8668864


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