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A Formalization Of The Theory Of Expertons. Theoretical Foundations, Properties And Development Of Software For Its Calculation

Author

Listed:
  • J.C. Ferrer Comalat

    (Department of Business Administration. Faculty of Economics and Business Sciences. University of Girona (Spain). C/ Universitat de Girona, 10. 17071 Girona. Catalonia. Spain.)

  • S. Linares Mustarós

    (Department of Business Administration. Faculty of Economics and Business Sciences. University of Girona (Spain). C/ Universitat de Girona, 10. 17071 Girona. Catalonia. Spain.)

  • D. Corominas Coll

    (Department of Business Administration. Faculty of Economics and Business Sciences. University of Girona (Spain). C/ Universitat de Girona, 10. 17071 Girona. Catalonia. Spain.)

Abstract

The aim of this article is to present in a formal way the concept of the experton, which is commonly used in practice, and use this formalization to justify its properties and the equivalence between the concept of mathematical expectation of an experton and the expectation of expressed opinions. The work will clarify the relationship of the experton with certain probabilistic fuzzy sets and we have opted to define it as a phi-fuzzy set which meets certain requirements. Finally, the formalization carried out allows for software to be developed that enables an experton to be calculated using an evaluation table.

Suggested Citation

  • J.C. Ferrer Comalat & S. Linares Mustarós & D. Corominas Coll, 2016. "A Formalization Of The Theory Of Expertons. Theoretical Foundations, Properties And Development Of Software For Its Calculation," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 21(1), pages 23-39, May.
    • Handle: RePEc:fzy:fuzeco:v:21:y:2016:i:1:p:23-39
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    Citations

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    Cited by:

    1. Joan Carles Ferrer-Comalat & Salvador Linares-Mustarós & Ricard Rigall-Torrent, 2021. "Incorporating Fuzzy Logic in Harrod’s Economic Growth Model," Mathematics, MDPI, vol. 9(18), pages 1-20, September.
    2. Joan Carles Ferrer-Comalat & Dolors Corominas-Coll & Salvador Linares-Mustarós, 2021. "A Fuzzy Economic Dynamic Model," Mathematics, MDPI, vol. 9(8), pages 1-15, April.

    More about this item

    Keywords

    expertons; theoretical formalization; Phi-fuzzy sets; probabilistic fuzzy sets; data fusion;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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