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Application of relation equations in data analysis
Last modified: 2014-05-20
Abstract
This paper discusses certain systems of relation equations with one or two unknown relations. It is shown that these systems have the greatest solutions, which are either equivalences or quasi-orders, or pairs of such relations, and are provided efficient algorithms for computing these greatest solutions. It is also shown how to use these equivalences and quasi-orders in the reduction of data represented by Boolean and data tables.