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1999 | OriginalPaper | Buchkapitel

Granular Computing using Neighborhood Systems

verfasst von : Y. Y. Yao

Erschienen in: Advances in Soft Computing

Verlag: Springer London

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A set-theoretic framework is proposed for granular computing. Each element of a universe is associated with a nonempty family of neighborhoods. A neighborhood of an element consists of those elements that are drawn towards that element by indistinguishability, similarity, proximity, or functionality. It is a granule containing the element. A neighborhood system is a family of granules, which is the available information or knowledge for granular computing. Operations on neighborhood systems, such as complement, intersection, and union, are defined by extending set-theoretic operations. They provide a basis of the proposed framework of granular computing. Using this framework, we examine the notions of rough sets and qualitative fuzzy sets.

Metadaten
Titel
Granular Computing using Neighborhood Systems
verfasst von
Y. Y. Yao
Copyright-Jahr
1999
Verlag
Springer London
DOI
https://doi.org/10.1007/978-1-4471-0819-1_40

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