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Algorithms constructing a representative vector criterion for a binary preference relation

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Literature Cited

  1. 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).

    Google Scholar 

  2. 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).

    Google Scholar 

  3. 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.

    Google Scholar 

  4. 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).

    Google Scholar 

  5. W. T. Trotter and K. P. Bogart, "On the complexity of posets," Discr. Math.,16, No. 1, 71–82 (1976).

    Google Scholar 

  6. A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, Mass. (1974).

    Google Scholar 

  7. E. M. Reingold, J. Nievergelt, and N. Deo, Combinatorial Algorithms: Theory and Practice, Prentice Hall, Englewood Cliffs, N.J. (1977).

    Google Scholar 

  8. A. O. Slisenko, "Complexity problems in computation theory," Usp. Mat. Nauk,36, No. 6(222), 21–108.

  9. R. E. Tarjan, "Complexity of combinatorial algorithms," in: Kibern. Sbornik [Russian translations], No. 17, Mir, Moscow (1980), pp. 61–113.

    Google Scholar 

  10. R. P. Dilworth, "A decomposition theorem for partially ordered sets," Ann. Math.,51, 161–166 (1950).

    Google Scholar 

  11. L. R. Ford and D. R. Fulkerson, Flows in Networks, Princeton Univ. Press, Princeton, N.J. (1962).

    Google Scholar 

  12. S. A. Eroshov, Games with a Vector Payoff Function [in Russian], Abstract of Thesis, Moscow State Univ. (1982).

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Translated from Sistemnoe Programmirovanie i Voprosy Optimizatsii, pp. 118–126, 1987.

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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

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