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Algorithm of arithmetical operations with fuzzy numerical data

Author

Listed:
  • Bocharnikov, Victor
  • Sveshnikov, Sergey

Abstract

In this article the theoretical generalization for representation of arithmetic operations with fuzzy numbers is considered. Fuzzy numbers are generalized by means of fuzzy measures. On the basis of this generalization the new algorithm of fuzzy arithmetic which uses a principle of entropy maximum is created. As example, the summation of two fuzzy numbers is considered. The algorithm is realized in the software "Fuzzy for Microsoft Excel".

Suggested Citation

  • Bocharnikov, Victor & Sveshnikov, Sergey, 2007. "Algorithm of arithmetical operations with fuzzy numerical data," MPRA Paper 17353, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:17353
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    File URL: https://mpra.ub.uni-muenchen.de/17353/1/MPRA_paper_17353.pdf
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    References listed on IDEAS

    as
    1. C├ędric Lesage, 2001. "Discounted cash-flows analysis: An interactive fuzzy arithmetic approach," Post-Print hal-00485731, HAL.
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    More about this item

    Keywords

    fuzzy measure (Sugeno); fuzzy integral (Sugeno); fuzzy numbers; arithmetical operations; principle of entropy maximum;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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