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Permalink : https://petit.lib.yamaguchi-u.ac.jp/8300
山口経済学雑誌 Volume 52 Issue 4
published_at 2004-03-31
Generalization of properties of negatively transitive relations
Negatively Transitive 関係に関する性質の一般化
Hashimoto Hiroshi
About This Article
Descriptions
Properties of negatively transitive relations are generalized to some extent and various properties are obtained as special cases. Negative transitivity and transitivity are dual concepts and they play an important role in applications of relation theory such as preference relations. Generalized properties of negatively transitive relations and their related properties are shown by using Boolean matrices. Some conditions on relationship between negatively transitive relations and transitive relations are examined.
Other Article
PP. 721 - 743