Vage verzamelingen en mogelijkheidsmaten. Een inleiding in the theorie en voorbeelden van toepassingen
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Authors
Hoogenveen RTType
OnderzoeksrapportLanguage
nl
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Show full item recordTitle
Vage verzamelingen en mogelijkheidsmaten. Een inleiding in the theorie en voorbeelden van toepassingenTranslated Title
Fuzzy sets and possiblity measures. An introduction into the theory and examples of applicationsPubliekssamenvatting
The 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>Sponsors
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