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dc.contributor.authorStanojević, Bogdanaen
dc.contributor.authorDzitac, Ioanen
dc.contributor.authorDzitac, Simonaen
dc.date.accessioned2020-05-01T20:12:54Z-
dc.date.available2020-05-01T20:12:54Z-
dc.date.issued2015-09-03en
dc.identifier.issn2029-4913en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/1200-
dc.description.abstractIn the present paper, we propose a new approach to solving the full fuzzy linear fractional programming problem. By this approach, we provide a tool for making good decisions in certain problems in which the goals may be modelled by linear fractional functions under linear constraints; and when only vague data are available. In order to evaluate the membership function of the fractional objective, we use the α-cut interval of a special class of fuzzy numbers, namely the fuzzy numbers obtained as sums of products of triangular fuzzy numbers with positive support. We derive the α-cut interval of the ratio of such fuzzy numbers, compute the exact membership function of the ratio, and introduce a way to evaluate the error that arises when the result is approximated by a triangular fuzzy number. We analyse the effect of this approximation on solving a full fuzzy linear fractional programming problem. We illustrate our approach by solving a special example – a decision-making problem in production planning.en
dc.publisherVilnius Gediminas Technical University Press-
dc.relationOptimization of Distributive and Reverse Flows in Logistic Systems-
dc.relation.ispartofTechnological and Economic Development of Economyen
dc.subjectdecision making | error approximation | full fuzzy program | fuzzy aggregation | linear fractional programming | triangular fuzzy numberen
dc.titleOn the ratio of fuzzy numbers - exact membership function computation and applications to decision makingen
dc.typeArticleen
dc.identifier.doi10.3846/20294913.2015.1093563en
dc.identifier.scopus2-s2.0-84942928977en
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage815en
dc.relation.lastpage832en
dc.relation.issue5en
dc.relation.volume21en
dc.description.rankM21a-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
crisitem.author.orcid0000-0003-4524-5354-
crisitem.project.funderNSF-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NSF/null/7360067-
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