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Volume 2, No. 1, 2007

  • Molodsov D.A., Sokolov A.A., Kovkov D.V.
    «Basic Foundations of Soft Analysis»
    We introduce and study the concepts of soft limit of a function, soft continuity, soft derivative, and soft integrals. Comparisons with classical case are presented.

    Resources: elibrary.ru.

  • Batyrshin I.Z., Sheremetov L.B.
    «Models and methods of perception based time series data mining for decision support systems»
    The paper contains a short survey of exiting methods of time series analysis that can be used for development of models and methods of perception based time series data mining and for their integration with decision support systems.

    Resources: elibrary.ru.

  • Yazenin A.V.
    «On possibilistic-probabilistic optimization» (in English)
    This paper presents models and methods of possibilistic-probabilistic optimization. The formalism borrows from the mathematical apparatus of fuzzy random variables. That allows to reflect the combined (hybrid) type of uncertainty in problem parameters. Informative analysis of models and methods is realized in dual context: possibility-probability. The application of obtained results to portfolio selection problem is considered.

    Resources: elibrary.ru.

  • Novikova V.N.
    «On one solvation method for a task of possibilistic-probabilistic programming»
    Research started in [15] continues in the article. Solution finding method for probabilistic-possibilistic programming task in maxmax formulation (optimistic model of criterion) based on stochastic quasi-gradient is specified.

    Resources: elibrary.ru.

  • Chernishev O., Zmanovskaya T., Borisov A.
    «Comparative analysis of optimization tasks solving by genetic and gradient methods»
    This paper is devoted to the comparative analysis of optimization tasks solving by genetic and gradient methods. Two program products oriented towards a genetic algorithm and gradient method are developed. The given software products are realized in the Object Pascal programming language in the Borland Delphi environment. Each method is investigated separately; a comparative analysis of the given methods is conducted as well.

    Resources: elibrary.ru.

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