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Some problems on the definition of fuzzy preference relations

dc.contributor.authorMontero De Juan, Francisco Javier
dc.contributor.authorTejada Cazorla, Juan Antonio
dc.date.accessioned2023-06-21T02:02:09Z
dc.date.available2023-06-21T02:02:09Z
dc.date.issued1986-08
dc.description.abstractIn this paper we deal with decision-making problems over an unfuzzy set of alternatives. On one hand, we propose the problem of finding a max-min transitive relation as near as possible to a given initial preference relation, under the least-squares criterion and such that it does not introduce deep qualitative changes. On the other hand, we define a linear extension of the initial preference relation between alternatives to a preference relation between lotteries.en
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/15999
dc.identifier.citationMontero, J., Tejada, J.: Some problems on the definition of fuzzy preference relations. Fuzzy Sets and Systems. 20, 45-53 (1986). https://doi.org/10.1016/S0165-0114(86)80030-6
dc.identifier.doi10.1016/S0165-0114(86)80030-6
dc.identifier.issn0165-0114
dc.identifier.officialurlhttps//doi.org/10.1016/S0165-0114(86)80030-6
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0165011486800306
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64658
dc.issue.number1
dc.journal.titleFuzzy Sets and Systems
dc.language.isoeng
dc.page.final53
dc.page.initial45
dc.publisherElsevier Science Bv
dc.rights.accessRightsrestricted access
dc.subject.cdu519.22
dc.subject.keywordDecision making
dc.subject.keywordFuzzy relations
dc.subject.keywordNondominated alternatives
dc.subject.ucmEstadística matemática (Matemáticas)
dc.subject.unesco1209 Estadística
dc.titleSome problems on the definition of fuzzy preference relationsen
dc.typejournal article
dc.volume.number20
dcterms.referencesBasu, K., Fuzzy revealed preference theory. J. Econom. Theory. v32. 212-227. Bezdek, J.C. and Harris, J.D., Fuzzy partitions and relations: an axiomatic basis for clustering. Fuzzy Sets and Systems. v1. 111-117. Dubois, D. and Prade, H., Fuzzy Sets and Systems. 1980. Academic Press, New York. Hiroshi Hashimoto, Convergence of powers of a fuzzy transitive matrix, Fuzzy Sets and Systems, v.9 n.1-3, p.153-160, January, 1983 [doi>10.1016/S0165-0114(83)80015-3] Orlovsky, S.A., Decision-making with a fuzzy preference relation. Fuzzy Sets and Systems. v1. 155-167. Orlovsky, S.A., On formalization of a general fuzzy mathematical problem. Fuzzy Sets and Systems. v3. 311-321. Parthasathy, T. and Raghavan, T.E.S., Some Topics in Two-Person Games. 1971. Elsevier, New York. Simon, H., Models of Man. 1954. Wiley, New York. Theil, H. and van de Panne, C., Quadratic programming as an extension of classical quadratic maximization. Management Sci. v7. 1-20. Thomason, M.G., Convergence of powers of a fuzzy matrix. Math. Anal. Appl. v57. 476-480. L. A. Zadeh, Similarity relations and fuzzy orderings, Information Sciences: an International Journal, v.3 n.2, p.177-200, April, 1971 [doi>10.1016/S0020-0255(71)80005-1]
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery77359969-4313-4334-adef-1c2d7413fbb5

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