Maximum predicate descriptions of sets of mappings

R. S. Takhanov

doi:10.1134/S0965542507090175

Maximum predicate descriptions of sets of mappings

R. S. Takhanov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The work is carried out in the framework of the algebraic approach and is devoted to the problem of describing sets of mappings by pairs of m-place predicates. Maximum descriptions are distinguished in the set of all predicate descriptions, and necessary and sufficient maximality conditions are obtained. Using a partial order and betweenness relations as examples, it is shown that, for a given predicate on the set of values, the necessary maximality conditions imply some properties of this predicate on its domain. Taking this fact into account, a set of axioms for the betweenness relation is proposed, and examples of such relations are considered.

Original language	English
Pages (from-to)	1570-1581
Number of pages	12
Journal	Computational Mathematics and Mathematical Physics
Volume	47
Issue number	9
DOIs	https://doi.org/10.1134/S0965542507090175
Publication status	Published - Sep 1 2007

Keywords

Algebraic approach
Pattern recognition
Precedent learning
Predicate description

ASJC Scopus subject areas

Computational Mathematics

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