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Abstract

This paper will discuss and characterise the cardinality of boolean (crisp) and fuzzy relations. The main result is a Dedekind inequality for the cardinality, which enables us to manipulate the cardinality of the composites of relations. As applications a few relational proofs for the basic theorems on graph matchings, and fundamentals about network flows will be given.

Keywords

Distinct Element Transitive Closure Fuzzy Relation Graph Matchings Univalent Relation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yasuo Kawahara
    • 1
  1. 1.Department of Informatics, Kyushu University 33FukuokaJapan

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