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Erschienen in:
2014 | OriginalPaper | Buchkapitel
An Approach to Cardinality of First Order Metasets
verfasst von : Bartłomiej Starosta
Erschienen in: Artificial Intelligence and Soft Computing
Verlag: Springer International Publishing
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Metaset is a new approach to sets with partial membership relation. Metasets are designed to represent and process vague, imprecise data, similarly to fuzzy sets. They enable expressing fractional certainty of membership, equality, and other relations. Even though the general idea stems from and is firmly suited in the classical set theory, it is directed towards efficient computer implementations and applications.
In this paper we introduce the concept of cardinality for metasets and we investigate its basic properties. For simplicity we focus on the subclass of first order metasets however, the discussed ideas remain valid in general. We also present additional results obtained for finite first order metasets which are relevant for computer applications.