Geodesic
On measures of similarity and distances between objects
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 11, pp. 2041-2058 
V. K. Leont'ev. On measures of similarity and distances between objects. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 11, pp. 2041-2058. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a10/
@article{ZVMMF_2009_49_11_a10,
     author = {V. K. Leont'ev},
     title = {On measures of similarity and distances between objects},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2041--2058},
     year = {2009},
     volume = {49},
     number = {11},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a10/}
}
TY  - JOUR
AU  - V. K. Leont'ev
TI  - On measures of similarity and distances between objects
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2009
SP  - 2041
EP  - 2058
VL  - 49
IS  - 11
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a10/
LA  - ru
ID  - ZVMMF_2009_49_11_a10
ER  - 
%0 Journal Article
%A V. K. Leont'ev
%T On measures of similarity and distances between objects
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2009
%P 2041-2058
%V 49
%N 11
%U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_11_a10/
%G ru
%F ZVMMF_2009_49_11_a10

Voir la notice de l'article provenant de la source Math-Net.Ru

Various metrics and functions of metrics are examined. A number of results concerning the identification of similarities and distinctions between objects are presented for different measurement techniques.

[1] Voronin Yu. A., Nachala teorii skhodstva, VTsSO, Novosibirsk, 1991, 127 pp. | MR

[2] Dobrynin A. A., Gutman I., “Indeks Vinera dlya derevev i grafov geksagonalnykh sistem”, Diskretnyi analiz i issl. operatsii. Ser. 2, 5:2 (1998), 34–60 | MR | Zbl

[3] Leontev V. K., Movsisyan G. L., “O nekotorykh aspektakh ponyatiya informatsiya”, Kompyulog., 2005, no. 1(67), 17–21

[4] Levenshtein V. I., “Elementy teorii kodirovaniya”, Diskretnaya matem. i matem. voprosy kibernetiki, Nauka, M., 1974, 207–305

[5] Leontev V. K., “Zadachi vosstanovleniya slov po fragmentam i ikh prilozheniya”, Diskretnyi analiz i issl. operatsii, 2:2 (1995), 26–48 | MR

[6] Zhuravlev Yu. I., “Teoretiko-mnozhestvennye metody v algebre logiki”, Probl. kibernetiki, 1962, no. 8, 5–44 | Zbl

[7] Zhuravlev Yu. I., Okrestnosti v zadachakh diskretnoi matematiki, Izbr. trudy, Magistr, M., 1988

[8] Burdyuk V. Ya., Diskretnye metricheskie prostranstva, DGU, Dnepropetrovsk, 1982, 99 pp.

[9] Vitushkin A. G., Otsenka slozhnosti zadachi tabulirovaniya, Fizmatgiz, M., 1959

[10] Leontev B. K., “O granyakh edinichnogo $n$-mernogo kuba”, Zh. vychisl. matem. i matem. fiz., 48:6 (2008), 1126–1139 | MR

[11] Evdokimov A. A., “Lokalno-izometricheskie vlozheniya grafov i svoistva prodolzheniya metriki”, Sibirskii zh. issl. operatsii, 1:1 (1994), 5–12 | MR | Zbl

[12] Mak-Vilyams F. Dzh., Sloen N. Dzh., Teoriya kodov, ispravlyayuschikh oshibki, Svyaz, M., 1979, 744 pp.

[13] Fedoryaeva T. I., “Vektory raznoobraziya sharov dlya grafov i otsenki ikh komponent”, Diskretnyi analiz i issl. operatsii. Ser. 1, 14:2 (2007), 47–67 | MR

[14] Birkgof G., Barti T., Sovremennaya prikladnaya algebra, Mir, M., 1976

[15] Leontev V. K., Movsisyan G. L., “Ob additivnykh kanalakh svyazi”, Dokl. HAH Armenii, 104:1 (2004), 23–28 | MR

[16] Zhuravlev Yu. I., “Ob algebraicheskom podkhode k resheniyu zadach raspoznavaniya ili klassifikatsii”, Probl. kibernetiki, 33 (1978), 5–68 | Zbl

[17] Leontev V. K., Izbrannye zadachi kombinatornogo analiza, Izd-vo MGTU im. N. E. Baumana, M., 2001