Show simple item record

dc.contributor.authorMarichal, Jean-Luc
dc.contributor.authorCouceiro, Miguel
HAL ID: 1498
dc.date.accessioned2012-09-27T09:09:14Z
dc.date.available2012-09-27T09:09:14Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10256
dc.language.isoenen
dc.subjectcomonotonicityen
dc.subjectmedian decomposabilityen
dc.subjectstrong idempotencyen
dc.subjecthomogeneityen
dc.subjectnormal formen
dc.subjectdiscrete Sugeno integralen
dc.subjectLattice polynomial functionen
dc.subject.ddc003en
dc.titlePolynomial functions on bounded chainsen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherUniversité du Luxembourg;Luxembourg
dc.description.abstractenWe are interested in representations and characteriza- tions of lattice polynomial functions f : Ln → L, where L is a given bounded distributive lattice. In an earlier paper [4, 5], we investi- gated certain representations and provided various characterizations of these functions both as solutions of certain functional equations and in terms of necessary and sufficient conditions. In the present paper, we investigate these representations and characterizations in the special case when L is a chain, i.e., a totally ordered lattice. More precisely, we discuss representations of lattice polynomial functions given in terms of standard simplices and we present new axiomati- zations of these functions by relaxing some of the conditions given in [4, 5] and by considering further conditions, namely comonotonic minitivity and maxitivity.en
dc.identifier.citationpages525-530en
dc.relation.ispartoftitleProceedings of the Joint 2009 International Fuzzy Systems Association World Congress and 2009 European Society of Fuzzy Logic and Technology Conference, Lisbon, Portugal, July 20-24, 2009.en
dc.relation.ispartofeditorSousa, J.M.C.
dc.relation.ispartofeditorKaymak, U.
dc.relation.ispartofeditorDubois, D.
dc.relation.ispartofeditorCarvalho, J.P
dc.relation.ispartofpublnameEuropean Society for Fuzzy Logic and Technologyen
dc.relation.ispartofdate2009
dc.relation.ispartofpages1930en
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.ispartofisbn978-989-95079-6-8.en
dc.relation.conftitle13th International Fuzzy Systems Association World Congress and 6th International Conference of the European Society for Fuzzy Logic and Technology Conference (IFSA-EUSFLAT 2009)en
dc.relation.confdate2009-07
dc.relation.confcityLisbonneen
dc.relation.confcountryPortugalen
dc.relation.forthcomingnonen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record