Constrained intervals and interval spaces

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorLodwick, Weldon A.
dc.creatorJenkins, Oscar A.
dc.date2014-05-27T11:28:28Z
dc.date2016-10-25T18:44:34Z
dc.date2014-05-27T11:28:28Z
dc.date2016-10-25T18:44:34Z
dc.date2013-02-19
dc.date.accessioned2017-04-06T02:13:46Z
dc.date.available2017-04-06T02:13:46Z
dc.identifierSoft Computing, v. 17, n. 8, p. 1393-1402, 2013.
dc.identifier1432-7643
dc.identifier1433-7479
dc.identifierhttp://hdl.handle.net/11449/74608
dc.identifierhttp://acervodigital.unesp.br/handle/11449/74608
dc.identifier10.1007/s00500-013-1006-x
dc.identifierWOS:000321644600008
dc.identifier2-s2.0-84880844907
dc.identifierhttp://dx.doi.org/10.1007/s00500-013-1006-x
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/895369
dc.descriptionConstrained intervals, intervals as a mapping from [0, 1] to polynomials of degree one (linear functions) with non-negative slopes, and arithmetic on constrained intervals generate a space that turns out to be a cancellative abelian monoid albeit with a richer set of properties than the usual (standard) space of interval arithmetic. This means that not only do we have the classical embedding as developed by H. Radström, S. Markov, and the extension of E. Kaucher but the properties of these polynomials. We study the geometry of the embedding of intervals into a quasilinear space and some of the properties of the mapping of constrained intervals into a space of polynomials. It is assumed that the reader is familiar with the basic notions of interval arithmetic and interval analysis. © 2013 Springer-Verlag Berlin Heidelberg.
dc.languageeng
dc.relationSoft Computing
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subject(standard) interval arithmetic
dc.subjectConstrained interval arithmetic
dc.subjectInterval analysis
dc.subjectInterval spaces
dc.subjectInterval arithmetic
dc.subjectLinear functions
dc.subjectNon negatives
dc.subjectQuasi-linear
dc.subjectSoft computing
dc.subjectSoftware engineering
dc.subjectPolynomials
dc.titleConstrained intervals and interval spaces
dc.typeOtro


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