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Algebra over estimation algorithms: Normalization with respect to the interval

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Abstract

Algebra over estimation algorithms with addition, multiplication by a constant, and normalization operations is investigated. Normalization is interpreted as a linear (with respect to each row) transformation of the matrix of estimates that takes the maximum entry of the row to unity and the minimum entry to zero. The algebraic closure is described, a formula for its dimension is obtained, and correctness criteria are formulated.

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References

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia

    A. G. D’yakonov

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  1. A. G. D’yakonov
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Correspondence to A. G. D’yakonov.

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Original Russian Text © A.G. D’yakonov, 2009, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2009, Vol. 49, No. 1, pp. 200–208.

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D’yakonov, A.G. Algebra over estimation algorithms: Normalization with respect to the interval. Comput. Math. and Math. Phys. 49, 194–202 (2009). https://doi.org/10.1134/S096554250901014X

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  • DOI: https://doi.org/10.1134/S096554250901014X

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