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dc.contributor.authorHoogenveen RT
dc.date.accessioned2013-06-13T21:10:38
dc.date.issued1990-03-31
dc.identifier958802001
dc.description.abstractThe author reports on a literature search on fuzzy sets. Fuzzy sets differ from classical sets in the following sense: elements can partly belong to fuzzy sets, whereas elements do or don't belong to classical sets. Fuzzy sets can be generalized to fuzzy relations between elements ; fuzzy Markovian chains, that describe transitions between elements ; fuzzy functions ; fuzzy numbers ; fuzzy reasoning based on fuzzy relations ; fuzzy inclusion ; and fuzzy partitions. The possibility measure is a fuzzy translation of the probability measure: it quantifies the possibility of an event instead of the probability. Three applications of fuzzy sets and possibility measures have been elaborated: fuzzy linear regression, the fuzzy shortest path problem and fuzzy multi-criteria analysis. On the basis of the fuzzy shortest path problem (the interpretations of) the possibility measure and the probability measure are compared.<br>
dc.description.sponsorshipRIVM
dc.format.extent195 p
dc.language.isonl
dc.publisherRijksinstituut voor Volksgezondheid en Milieu RIVM
dc.relation.ispartofRIVM Rapport 958802001
dc.relation.urlhttp://www.rivm.nl/bibliotheek/rapporten/958802001.html
dc.subject20nl
dc.subjectvage verzamelingennl
dc.subjectmogelijkheidsmatennl
dc.subjectonzekerheidsanalyse; interval-operatiesnl
dc.titleVage verzamelingen en mogelijkheidsmaten. Een inleiding in the theorie en voorbeelden van toepassingennl
dc.title.alternativeFuzzy sets and possiblity measures. An introduction into the theory and examples of applicationsen
dc.typeReport
dc.date.updated2013-06-13T19:10:40Z
html.description.abstractThe author reports on a literature search on fuzzy sets. Fuzzy sets differ from classical sets in the following sense: elements can partly belong to fuzzy sets, whereas elements do or don&apos;t belong to classical sets. Fuzzy sets can be generalized to fuzzy relations between elements ; fuzzy Markovian chains, that describe transitions between elements ; fuzzy functions ; fuzzy numbers ; fuzzy reasoning based on fuzzy relations ; fuzzy inclusion ; and fuzzy partitions. The possibility measure is a fuzzy translation of the probability measure: it quantifies the possibility of an event instead of the probability. Three applications of fuzzy sets and possibility measures have been elaborated: fuzzy linear regression, the fuzzy shortest path problem and fuzzy multi-criteria analysis. On the basis of the fuzzy shortest path problem (the interpretations of) the possibility measure and the probability measure are compared.&lt;br&gt;


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