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Relational structures for measures of ignorance

dc.book.titleproceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011)
dc.contributor.authorFranco De Los Ríos, Camilo A.
dc.contributor.authorMontero De Juan, Francisco Javier
dc.contributor.authorRodríguez González, Juan Tinguaro
dc.contributor.editorGalichet, S.
dc.contributor.editorMontero De Juan, Francisco Javier
dc.contributor.editorMauris, G.
dc.date.accessioned2023-06-20T05:44:44Z
dc.date.available2023-06-20T05:44:44Z
dc.date.issued2011-07
dc.description.abstractDifferent types of inexactness can be represented by fuzzy sets: vagueness, where there are no precise boundaries, ambiguity, when more than one distinguishable concept is described, generality, such that a word applies to a variety of situations, and ambivalence, where conflicting valuations can coexist. Different measures of ignorance can be used in order to grade the distinct attributes of inexact information Here we explore some of these measures from a relational point of view.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/17828
dc.identifier.isbn978-90-78677-00-0
dc.identifier.officialurlhttp://www.atlantis-press.com/php/download_paper.php?id=2262
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45386
dc.language.isoeng
dc.page.final619
dc.page.initial613
dc.page.total1097
dc.publication.placeFrance
dc.publisherAtlantis Press
dc.rights.accessRightsopen access
dc.subject.cdu004.8
dc.subject.keywordAmbiguity
dc.subject.keywordAmbivalence
dc.subject.keywordVagueness
dc.subject.keywordFuzziness
dc.subject.keywordIgnorance
dc.subject.keywordRelational structures
dc.subject.ucmInteligencia artificial (Informática)
dc.subject.unesco1203.04 Inteligencia Artificial
dc.titleRelational structures for measures of ignoranceen
dc.typebook part
dcterms.referencesH. Bustince, M. Pagola, E. Barrenechea, J. Fernandez,P.Melo-Pinto, P. Couto, H. Tizhoosh, J. Montero. Ignorance functions. An application to the calculation of the threshhold in prostate ultrasound images. Fuzzy Sets and Systems 161, 20-36, 2010. A. DeLuca, S. Termini. A definition of nonprobabilistic entropy in the setting of fuzzy sets theory. Information and Control 20, 301-312, 1972. D. Dubois. On degrees of truth, partial ignorance and contradiction. Proceedings IPMU’08, 31-38,2008. P. Fishburn. The axioms and algebra of ambiguity.Theory and Decision 34, 119-137, 1993. C. Fox, A. Tversky. Ambiguity aversion and comparative ignorance. The Quarterly Journal of Economics 110, 585-603, 1995. J. Goguen. The logic of inexact concepts. Synthese 19, 325-373, 1969. J. Keynes. A Treatise on Probability. MacMillan,London,1963. F. Knight. Risk, Uncertainty and Profit. University of Chicago Press, Chicago, 1971. J. Montero, D. Gómez, H. Bustince. On the relev-ance of some families of fuzzy sets. Fuzzy Sets and Systems 158,2429, 2442, 2007. Ch. Osgood, G. Suci, P. Tannenbaum. The Mea-surement of Meaning. University of Illinois Press, Urbana, 1958. B. Schweizer, A. Sklar. Probabilistic Metric Spac-es. North-Holland, Amsterdam, 1983. G. Shafer. A Mathematical Theory of Evidence. Princeton University Press, Princeton, 1976. M. Shubik. Risk, ignorance and indeterminacy. The Quarterly Journal of Economics 68, 629-640, 1954. E. Trillas. On a model for the meaning of predi-cates (A naïve approach to the genesis of fuzzy sets). In: Views of Fuzzy Sets and Systems from Different Perspectives (ed.: Rudolf Seising), Sprin-ger, 175-205, 2009. S. Wong, Z. Wang, P. Bollmann-Sdorra. On qualit-ative measures of ignorance. International Journal of Intelligent Systems 11, 27-47, 1998. R. Yager. On a measure of ambiguity. International Journal of Intelligent Systems 10, 1001-1019, 1995. L. Zadeh. Fuzzy sets. Information and Control 8, 338-353, 1965.
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