Geodesic
Extrapolation of the multi-valued dependencies
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 12 (2017) no. 1, pp. 45-63.

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

For multi-valued dependencies proposed staging an extrapolation problem on the class of dependencies. The class of Lipschitz dependencies is constructed and for this class the problem of one-point extrapolation is reduced to exhaustive search on certain sets. Some special cases Lipschitz-one-point extrapolation problem are solved precisely.
Keywords: multi-valued dependencies, multivalued dependencies extrapolation, Lipschitz multivalued dependencies, one-point extrapolation of multi-valued dependencies. 
@article{FSSC_2017_12_1_a2,
     author = {D. A. Molodtsov},
     title = {Extrapolation of the multi-valued dependencies},
     journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
     pages = {45--63},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FSSC_2017_12_1_a2/}
}
TY  - JOUR
AU  - D. A. Molodtsov
TI  - Extrapolation of the multi-valued dependencies
JO  - Nečetkie sistemy i mâgkie vyčisleniâ
PY  - 2017
SP  - 45
EP  - 63
VL  - 12
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FSSC_2017_12_1_a2/
LA  - ru
ID  - FSSC_2017_12_1_a2
ER  - 
%0 Journal Article
%A D. A. Molodtsov
%T Extrapolation of the multi-valued dependencies
%J Nečetkie sistemy i mâgkie vyčisleniâ
%D 2017
%P 45-63
%V 12
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FSSC_2017_12_1_a2/
%G ru
%F FSSC_2017_12_1_a2
D. A. Molodtsov. Extrapolation of the multi-valued dependencies. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 12 (2017) no. 1, pp. 45-63. http://geodesic.mathdoc.fr/item/FSSC_2017_12_1_a2/

[1] Molodtsov D. A., “Comparison and continuation of multi-valued dependencies”, Fuzzy Systems and Soft Computing, 11:2 (2016), 115-145 (in Russian)

[2] Bakhvalov N. S., Numerical Methods (Analysis, Algebra, Ordinary Differential Equations), Nauka Publ., Moscow, 1975, 632 pp. (in Russian) | MR

[3] Vapnik V. N., Restore Dependencies on Empirical Data, Nauka Publ., Moscow, 1979, 448 pp. (in Russian) | MR

[4] Vapnik V. N., Chervonenkis A. Ya., Theory of Pattern Recognition (Statistical Learning Problems), Nauka Publ., Moscow, 1974, 416 pp. (in Russian) | MR

[5] Velikanov M. A., Measurement Errors and Empirical Dependencies, Gidrometeorologicheskoe Izdatelstvo, Saint-Petersburg, 1962, 303 pp. (in Russian)

[6] Zhuravlev Yu. I., “On the algebraic approach to the solution of problems of recognition or classification”, Problems of Cybernetics, 1978, no. 33, 5-68 (in Russian) | Zbl

[7] Zhuravlev Yu. I., Ryazanov V. V., Sen'ko O. V., Recognition. Mathematical Methods. Software System. Practical Applications., FAZIS Publ., Moscow, 2006, 168 pp. (in Russian)

[8] Pinsker I. Sh. (ed.), Search of Dependence and Error Estimation, Nauka Publ., Moscow, 1985 (in Russian)

[9] Smolyak S. A., “Interpolation of functions of several non-numerical variables”, Factory Laboratory, 2007, no. 3, 69-77 (in Russian)

[10] Molodtsov D. A., The Ideas of Soft Probability as a New Approach to the Construction of Probability Theory: Hypotheses of Stochastic Stability and Probability, URSS Publ., 2014, 112 pp. (in Russian)