Literature Cited
F. T. Aliskerov, B. M. Litvakov, and N. V. Zavalishin, "On decomposition of the choice function in a system of simpler functions," Avtomat. Telemekh., No. 3, 107–118 (1979).
V. V. Morozov and V. V. Fedorov, "On construction of a vector criterion from a binary preference relation," Zh. Vychisl. Mat. Mat. Fiz.,20, No. 3, 630–639 (1980).
S. A. Eroshov, "On representation of a binary relation by a vector criterion," in: 1st All-Union Conf. on Statistical and Discrete Analysis of Nonnumerical Information, Expert Judgments, and Discrete Optimization, abstracts of papers [in Russian], Kazakh. Gos. Univ. VNIISI, Moscow—Alma Ata (1981), pp. 316–315.
S. A. Eroshov, "On representation of a binary relation by a vector criterion on infinite sets," Vestn. Mosk. Univ., Ser. 15, Vychisl. Mat. Kibern., No. 1, 60–65 (1983).
W. T. Trotter and K. P. Bogart, "On the complexity of posets," Discr. Math.,16, No. 1, 71–82 (1976).
A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, Mass. (1974).
E. M. Reingold, J. Nievergelt, and N. Deo, Combinatorial Algorithms: Theory and Practice, Prentice Hall, Englewood Cliffs, N.J. (1977).
A. O. Slisenko, "Complexity problems in computation theory," Usp. Mat. Nauk,36, No. 6(222), 21–108.
R. E. Tarjan, "Complexity of combinatorial algorithms," in: Kibern. Sbornik [Russian translations], No. 17, Mir, Moscow (1980), pp. 61–113.
R. P. Dilworth, "A decomposition theorem for partially ordered sets," Ann. Math.,51, 161–166 (1950).
L. R. Ford and D. R. Fulkerson, Flows in Networks, Princeton Univ. Press, Princeton, N.J. (1962).
S. A. Eroshov, Games with a Vector Payoff Function [in Russian], Abstract of Thesis, Moscow State Univ. (1982).
Additional information
Translated from Sistemnoe Programmirovanie i Voprosy Optimizatsii, pp. 118–126, 1987.
Rights and permissions
About this article
Cite this article
Eroshov, S.A. Algorithms constructing a representative vector criterion for a binary preference relation. Comput Math Model 1, 428–433 (1990). https://doi.org/10.1007/BF01128292
Issue Date:
DOI: https://doi.org/10.1007/BF01128292