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2003•Unpublished venueRequires access

Aggregative closure: an extension of transitive closure

I.F. Cruz, Theodore S. Norvell

Open publisher page 32 citations

Abstract

The aggregative closure operator is defined and its usefulness is demonstrated in a wide variety of applications. The concepts and definitions of closed semirings and the aggregating relational operators provide a mathematical framework for the presentation of algorithms for these applications. A novel algorithm is also presented which is intended for the computation of the aggregate closure. All of these algorithms but the last are generalizations of existing algorithms intended for transitive closure.>

About this research paper

What this paper is about

The aggregative closure operator is defined and its usefulness is demonstrated in a wide variety of applications. The concepts and definitions of closed semirings and the aggregating relational operators provide a mathematical framework for the presentation of algorithms for these applications. A novel algorithm is also presented which is intended for the computation of the aggregate closure. All of these algorithms but the last are generalizations of existing algorithms intended for transitive closure.>

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OpenAlex reports 32 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Method / approach

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Available abstract

The aggregative closure operator is defined and its usefulness is demonstrated in a wide variety of applications. The concepts and definitions of closed semirings and the aggregating relational operators provide a mathematical framework for the presentation of algorithms for these applications. A novel algorithm is also presented which is intended for the computation of the aggregate closure. All of these algorithms but the last are generalizations of existing algorithms intended for transitive closure.>

Key concepts: Transitive closure, Closure (psychology), Closure operator, Extension (predicate logic), Computer science, Transitive relation, Variety (cybernetics), Theoretical computer science

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