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Kozin I. V., Selyutin E. K., Polyuga S. I.

Abstract: In the article the problem of finding optimal classifications on a finite set is investigated. It is shown that the problem of finding an optimal classification is generated by a tolerance relation on a finite set. It is also reduced to an optimization problem on a set of permutations. It is proposed a modification of the mixed jumping frogs to find suboptimal solutions of the problem of classification.
Keywords: tolerance / permutations / mixed / suboptimal / optimal classifications / jumping frogs

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