Reference : Polynomial functions on bounded chains
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/9594
Polynomial functions on bounded chains
English
Couceiro, Miguel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2009
Proc. of 2009 Int. Fuzzy Systems Assoc. World Congress and 2009 Int. Conf. of the Eur. Soc. for Fuzzy Logic and Technology (IFSA-EUSFLAT 2009 Joint Conference)
Carvalho, J.-P.
Dubois, D.
Kaymak, U.
Sousa, J. M. C.
525-530
Yes
No
International
978-989-95079-6-8
2009 Int. Fuzzy Systems Assoc. World Congress and 2009 Int. Conf. of the Eur. Soc. for Fuzzy Logic and Technology (IFSA-EUSFLAT 2009 Joint Conference)
from 20-07-2009 to 24-07-2009
Lisbon
Portugal
[en] Lattice polynomial function ; discrete Sugeno integral ; normal form ; homogeneity ; strong idempotency ; median decomposability ; comonotonicity
[en] We are interested in representations and characterizations of lattice polynomial functions $f\colon L^n\to L$, where $L$ is a given bounded distributive lattice. In an earlier paper [4,5], we investigated 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 axiomatizations of these functions by relaxing some of the conditions given in [4,5] and by considering further conditions, namely comonotonic minitivity and maxitivity.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/9594
http://www.eusflat.org/publications_proceedings_IFSA-EUSFLAT_2009.php

File(s) associated to this reference

Fulltext file(s):

FileCommentaryVersionSizeAccess
Open access
PolynomialFunctions-IFSA09.pdfAuthor postprint210.78 kBView/Open
Limited access
PV-PolynomialFunctions-IFSA09.pdfPublisher postprint144.42 kBRequest a copy

Additional material(s):

File Commentary Size Access
Open access
IFSA_EUSFLAT_2009_papers_per_session.pdfSessions90.74 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.