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Arithmetic Operations On Interactive Fuzzy Numbers In Financial Analysis

Author

Listed:
  • Rebiasz, B.

    (AGH University of Science and Technology)

Abstract

This article presents the generalization of Zadeh’s extension principle for arithmetic operations on interactive fuzzy variables. Typical kinds of interactivity between financial analyses parameters in industrial enterprises are discussed later. These interactions make use of nonlinear programming methods necessary to calculate the values of selected financial indices expressed by the fuzzy numbers. The article presents the problem of nonlinear programming applied to calculating the values of these indices. Application of the fuzzy model simulation method is also proposed for executing the arithmetic operations on interactive fuzzy numbers. Also, an example of calculating the gross profit for two metallurgical companies is shown.

Suggested Citation

  • Rebiasz, B., 2011. "Arithmetic Operations On Interactive Fuzzy Numbers In Financial Analysis," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 0(1), pages 39-65, May.
    • Handle: RePEc:fzy:fuzeco:v:xvi:y:2011:i:1:p:39-65
    as

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    More about this item

    Keywords

    financial analyses; fuzzy arithmetic; simulation of fuzzy systems; extension principle;
    All these keywords.

    JEL classification:

    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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