2008•Journal of Daqing Normal UniversityRequires access

Research on Judging a Transitive Bbinary-Relation

Zhao Ming-ru

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Abstract

It is difficult to judge a transitive binary-relation by using the definition of transitivity of binary relation directly.Two equivalent definitions of transitivity are given in this paper.And several methods such as graph,matrix,compound of two binary-relations,transitive closure,etc.are used to identify the transitivity of binary-relation.The advantages and disadvantages of each method are discussed in detail,which is very helpful for the students to know well how to judge a transitive binary-relation.

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What this paper is about

It is difficult to judge a transitive binary-relation by using the definition of transitivity of binary relation directly.Two equivalent definitions of transitivity are given in this paper.And several methods such as graph,matrix,compound of two binary-relations,transitive closure,etc.are used to identify the transitivity of binary-relation.The advantages and disadvantages of each method are discussed in detail,which is very helpful for the students to know well how to judge a transitive binary-relation.

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Available abstract

It is difficult to judge a transitive binary-relation by using the definition of transitivity of binary relation directly.Two equivalent definitions of transitivity are given in this paper.And several methods such as graph,matrix,compound of two binary-relations,transitive closure,etc.are used to identify the transitivity of binary-relation.The advantages and disadvantages of each method are discussed in detail,which is very helpful for the students to know well how to judge a transitive binary-relation.

Key concepts: Transitive relation, Transitive closure, Binary relation, Transitive reduction, Relation (database), Mathematics, Logical matrix, Binary number

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