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Choice of a Subset with Respect to Many Criteria

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Methodology and Software for Interactive Decision Support

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 337))

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Abstract

Let A be a finite set and let several binary preference relations on A be given. Then the problem of determining an order which aggregates the given relations is well known.

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References

  • Kemeny, J. G., Snell, J. L. (1970). Mathematical models in the social sciences, N.Y.

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  • Linear Interactive Maximizing (Minimizing) System LINA-16. User’s Guide. Bulgarian Academy of Sciences; Institute of Industrial Cybernetics & Robotics, May, 1986 (in Bulgarian).

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  • Popchev, I. P., Metev, B. S. (1979). A choice of several elements with respect to many criteria which are relations. Technicheska misal, No. 6, pp. 21–35, (in Bulgarian).

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  • Popchev, I. P., Metev, B. S. (1986). Multicriterial choice of an “optimal” subset, Syst. Anal. Model. Simul. 3 (2), pp. 167–169.

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  • Taha, H. A. (1982). Operations research — an introduction. MacMillan Publishing Co., Inc. N.Y. Collier-MacMillan Publishers London.

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  • Watters, L. J. (1967). Reduction of integer polynomial programming problems to zero-one linear programming problems. Operat. Research, 15(6) (Nov.-Dec.), pp. 1171–1174.

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Author information

Authors and Affiliations

  1. Institute of Industrial Cybernetics & Robotics, Acad. G. Bonchev Str., Bl. 2, 1113, Sofia, Bulgaria

    I. Popchev, B. Metev & L. Markova

Authors
  1. I. Popchev
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  2. B. Metev
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  3. L. Markova
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Editor information

Editors and Affiliations

  1. Methodology of Decision Analysis Project System and Decision Sciences Program, International Institute for Applied Systems Analysis (IIASA), Schloßplatz 1, A-2361, Laxenburg, Austria

    Andrzej Lewandowski (Project Leader) (Project Leader)

  2. Institute for Systems Analysis & Management, Economic University “Karl Marx”, Georgy Dimitrov 53, Sofia, Bulgaria

    Ivan Stanchev

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© 1989 Springer-Verlag Berlin Heidelberg

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Popchev, I., Metev, B., Markova, L. (1989). Choice of a Subset with Respect to Many Criteria. In: Lewandowski, A., Stanchev, I. (eds) Methodology and Software for Interactive Decision Support. Lecture Notes in Economics and Mathematical Systems, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22160-0_13

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  • DOI: https://doi.org/10.1007/978-3-662-22160-0_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51572-2

  • Online ISBN: 978-3-662-22160-0

  • eBook Packages: Springer Book Archive

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