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A reflection on what is a membership function
dc.contributor.author | Trillas i Gay, Enric |
dc.contributor.author | Alsina Català, Claudi |
dc.date.accessioned | 2007-09-25T12:17:27Z |
dc.date.available | 2007-09-25T12:17:27Z |
dc.date.issued | 1999 |
dc.identifier.issn | 1134-5632 |
dc.identifier.uri | http://hdl.handle.net/2099/3554 |
dc.description.abstract | This paper is just a first approach to the idea that the membership function $\mu _{P}$ of a fuzzy set labelled $P$ is, basically, a measure on the set of linguistic expressions ``$x$ is $P"$ for each $x$ in the corresponding universe of discourse $X.$ Estimating that the meaning of $P$ (relatively to $X)$ is nothing else than the use of $P$ on $X,$ these ``measures'' seem to be reached by generalizing to a preordered set the concept of Fuzzy Measure, introduced by M. Sugeno, when the preorder translates the primary use of the predicate $P,$ that is a basic relationship like ``$x$ is less $P$ than $y".$ The paper only deals with predicates whose use is made by means of numerical characteristics, but those cases on which the characteristics (if they exist) are not of a numerical nature are not considered. By generalizing DeLuca-Termini's sharpened order some typical membership functions are studied as measures |
dc.format.extent | 201-215 |
dc.language.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica |
dc.relation.ispartof | Mathware & soft computing . 1999 Vol. 6 Núm. 2 [ -3 ] |
dc.rights | Reconeixement-NoComercial-CompartirIgual 3.0 Espanya |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject.other | Use of a predicate |
dc.subject.other | General concept of a measure |
dc.subject.other | General measures on an interval of IR |
dc.subject.other | General measures and membership functions |
dc.title | A reflection on what is a membership function |
dc.type | Article |
dc.subject.lemac | Conjunts, Teoria de |
dc.subject.ams | Classificació AMS::03 Mathematical logic and foundations::03E Set theory |
dc.rights.access | Open Access |
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1999, Vol. VI, Núm. 2-3 [16]
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