Geodesic
Comparison and continuation of multi-valued dependencies
Nečetkie sistemy i mâgkie vyčisleniâ, Tome 11 (2016) no. 2, pp. 115-145.

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

The deterministic multi-valued dependencies in the form of multisets are studied. The possibility of using multi-valued dependencies for the guaranteed result in dynamic decision-making problems is proved. The methodology of comparison and continuation of multi-valued dependencies on the basis of continuity for soft maps is proposed. Variables of dependencies may take not only numeric, but also other values.
Keywords: multivalued dependency, soft mapping, comparison of dependencies, approximation of soft mappings. 
@article{FSSC_2016_11_2_a3,
     author = {D. A. Molodtsov},
     title = {Comparison and continuation of multi-valued dependencies},
     journal = {Ne\v{c}etkie sistemy i m\^agkie vy\v{c}isleni\^a},
     pages = {115--145},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FSSC_2016_11_2_a3/}
}
TY  - JOUR
AU  - D. A. Molodtsov
TI  - Comparison and continuation of multi-valued dependencies
JO  - Nečetkie sistemy i mâgkie vyčisleniâ
PY  - 2016
SP  - 115
EP  - 145
VL  - 11
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FSSC_2016_11_2_a3/
LA  - ru
ID  - FSSC_2016_11_2_a3
ER  - 
%0 Journal Article
%A D. A. Molodtsov
%T Comparison and continuation of multi-valued dependencies
%J Nečetkie sistemy i mâgkie vyčisleniâ
%D 2016
%P 115-145
%V 11
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FSSC_2016_11_2_a3/
%G ru
%F FSSC_2016_11_2_a3
D. A. Molodtsov. Comparison and continuation of multi-valued dependencies. Nečetkie sistemy i mâgkie vyčisleniâ, Tome 11 (2016) no. 2, pp. 115-145. http://geodesic.mathdoc.fr/item/FSSC_2016_11_2_a3/

[1] Aivazyan S. A., Enyukov I. S., Meshalkin L. D., Applied Statistics. Dependency Research, Finansy i Statistika, Moscow, 1985 (in Russian)

[2] Vapnik V. N., Dependency Recovery from Empirical Data, Nauka Publ., Moscow, 1979 (in Russian) | MR

[3] Velikanov M. A., Measurement Errors and Empirical Dependencies, Gidrometeorologicheskoe Izdatel'stvo, Leningrad, 1962 (in Russian)

[4] Kleiner G. B., Smolyak S. A., Econometric Dependencies, Principles and Methods of Construction, Nauka, Moscow, 2003 (in Russian)

[5] Mitropol'skii A. K., Technique of Statistical Calculations, Nauka Publ., Moscow, 1971 (in Russian)

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

[7] Petrovskii A. B., Space of Sets and Multisets, Editorial URSS, Moscow, 2003 (in Russian)

[8] Molodtsov D. A., “Soft set theory – first results”, Computers and Mathematics with Applications, 37 (1999), 19–31 | DOI | MR | Zbl

[9] Molodtsov D. A., The Theory of Soft Sets, Editorial URSS, Moscow, 2004 (in Russian)

[10] Molodtsov D. A., Stability of Optimality Principles, Nauka Publ., Moscow, 1987 (in Russian)

[11] Molodtsov D. A., “Soft topological structures”, Nechetkie Sistemy i Myagkie Vychisleniya [Fuzzy Systems and Soft Computing], 10:2 (2015), 115–153 (in Russian) | MR