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Formalization and Classification of Combinatorial Optimization Problems

In: Optimization Methods and Applications

Author

Listed:
  • Leonid Hulianytskyi

    (V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine)

  • Iryna Riasna

    (V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine)

Abstract

Original approach to determination of the concepts “combinatorial object” and “fuzzy combinatorial object” is offered, which allows to strictly formalize both the known and new classes of problems of combinatorial optimization. The offered approach to such formalization which is concept-based a local finiteness of the discrete spaces relies only on properties of the discrete spaces therefore has quite general character and allows to develop the constructive approach to creation of special objects in combinatorial spaces. The obtained results are important both in the theoretical plan and for development of methods of solving the combinatorial optimization problems.

Suggested Citation

  • Leonid Hulianytskyi & Iryna Riasna, 2017. "Formalization and Classification of Combinatorial Optimization Problems," Springer Optimization and Its Applications, in: Sergiy Butenko & Panos M. Pardalos & Volodymyr Shylo (ed.), Optimization Methods and Applications, pages 239-250, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-68640-0_11
    DOI: 10.1007/978-3-319-68640-0_11
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