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Avtomatika i Telemekhanika, 1979, Issue 3, Pages 107–118 (Mi at9404)  
Simulation of Behavior and Intelligence

On decomposition of choice functions into a system of simpler functions

F. T. Aleskerov, N. V. Zavalishin, B. M. Litvakov

Moscow
Full-text PDF (2338 kB)
Abstract: The paper is concerned with decomposition of the choice function $C(X)$ into a system of simpler functions $\{C_i(X)\}$. For the case of the function $C(X)$ being a Pareto choice function and the functions $C_i(X)$, scalar criteria (univalent or of general form) necessary and sufficient conditions are given for representability of $C(X)$ in the system $\{C_i(X)\}$. Estimates of the minimal number of functions $\{C_i(X)\}$ are obtained.

Received: 13.04.1978
Bibliographic databases:
Document Type: Article
UDC: 62-50
Language: Russian
Citation: F. T. Aleskerov, N. V. Zavalishin, B. M. Litvakov, “On decomposition of choice functions into a system of simpler functions”, Avtomat. i Telemekh., 1979, no. 3, 107–118; Autom. Remote Control, 40:3 (1979), 409–419
Citation in format AMSBIB
\Bibitem{AleZavLit79}
\by F.~T.~Aleskerov, N.~V.~Zavalishin, B.~M.~Litvakov
\paper On decomposition of choice functions into a system of simpler functions
\jour Avtomat. i Telemekh.
\yr 1979
\issue 3
\pages 107--118
\mathnet{http://mi.mathnet.ru/at9404}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=550611}
\zmath{https://zbmath.org/?q=an:0417.90004}
\transl
\jour Autom. Remote Control
\yr 1979
\vol 40
\issue 3
\pages 409--419
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