Relation algebra with multi-relation

更新时间:2023-06-10 06:18:35 阅读: 评论:0

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Relation algebra with multi-relation 期刊名称: International Journal of Computer Mathematics
软件架构师
作者: Feijs, L.,Krikhaar, R.L.阅读理解技巧
年份: 1998年
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关键词: software structuring; graph algorithms; rever engineering; formal specification; relation algebra; Galois connections; algebra; abstract data types;毛线画
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摘要:This report propos a theory of multi-relations, which are similar to normal mathematical relations, except for the fact that each tuple has a given multiplicity. It is shown that most of the t-oriented operations on relations, such as union and interction can be generalid (in the same way in which ts can be generalid to multits). The typical relational operations of composition and transposition and the theory of 'lifting' can be generalid too. Several alternative reprentations are d
iscusd, including ternary relations, and multits of tuples. Multi-relations can be visualid as directed graphs where each edge is labeled with a number. Alternatively, the multiplicity could be visualid by giving the edge a certain thickness. The approach is helpful in situations where one is not satisfied with the
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