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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Rough Relations, Neighborhood Relations, and Granular Computing
verfasst von : He Lin, Yao Zhou
Erschienen in: Rough Sets and Knowledge Technology
Verlag: Springer Berlin Heidelberg
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Based on formal relationships in Pansystems, this paper discusses the notion of indistinguishability relations among some order pairs in a binary relation and introduces rough relations. A rough relation is a generalization of a rough set from a new multi-dimensional viewpoint. In an exponent poset, an indistinguishability relation can be interpreted as a neighborhood relation. By treating a neighborhood relation closure as a universe, the notion of rough degree can be introduced. An inherent relation of granular computing is interpretated based on rough relations.