The solution of recognition problems with information given by the enumeration of domains
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 719-729
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A model of recognition algorithms for the initial information given in the form of arbitrary bounded domains in an $n$-dimensional Euclidean space $R^n$ is constructed. The correctness of the algebraic closure of this model without constraints imposed on the final sample of control objects is proved, and the stability of the correct algorithm in the closure of finite power is investigated. A basic scheme for constructing the algorithms for recognition problems with a continual control set of objects converging to a certain degree to the correct algorithm is given.
@article{ZVMMF_1983_23_3_a19,
author = {M. B. Aidarkhanov},
title = {The solution of recognition problems with information given by the enumeration of domains},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {719--729},
publisher = {mathdoc},
volume = {23},
number = {3},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a19/}
}
TY - JOUR AU - M. B. Aidarkhanov TI - The solution of recognition problems with information given by the enumeration of domains JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 719 EP - 729 VL - 23 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a19/ LA - ru ID - ZVMMF_1983_23_3_a19 ER -
%0 Journal Article %A M. B. Aidarkhanov %T The solution of recognition problems with information given by the enumeration of domains %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1983 %P 719-729 %V 23 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a19/ %G ru %F ZVMMF_1983_23_3_a19
M. B. Aidarkhanov. The solution of recognition problems with information given by the enumeration of domains. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 3, pp. 719-729. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_3_a19/