Algebra over estimation algorithms: Normalization with respect to the interval
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 200-208
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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.
@article{ZVMMF_2009_49_1_a13,
author = {A. G. D'yakonov},
title = {Algebra over estimation algorithms: {Normalization} with respect to the interval},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {200--208},
publisher = {mathdoc},
volume = {49},
number = {1},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a13/}
}
TY - JOUR AU - A. G. D'yakonov TI - Algebra over estimation algorithms: Normalization with respect to the interval JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 200 EP - 208 VL - 49 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a13/ LA - ru ID - ZVMMF_2009_49_1_a13 ER -
%0 Journal Article %A A. G. D'yakonov %T Algebra over estimation algorithms: Normalization with respect to the interval %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 200-208 %V 49 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a13/ %G ru %F ZVMMF_2009_49_1_a13
A. G. D'yakonov. Algebra over estimation algorithms: Normalization with respect to the interval. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 200-208. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a13/