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Several Limit Theorems on Fuzzy Quantum Space

Author

Listed:
  • Viliam Ďuriš

    (Department of Mathematics, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 949 74 Nitra, Slovakia)

  • Renáta Bartková

    (Podravka International s.r.o, Janka Jesenského 1486, SK-960 01 Zvolen, Slovakia)

  • Anna Tirpáková

    (Department of Mathematics, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 949 74 Nitra, Slovakia
    Department of School Education, Faculty of Humanities, Tomas Bata University in Zlín, Štefánikova 5670, 76000 Zlín, Czech Republic)

Abstract

The probability theory using fuzzy random variables has applications in several scientific disciplines. These are mainly technical in scope, such as in the automotive industry and in consumer electronics, for example, in washing machines, televisions, and microwaves. The theory is gradually entering the domain of finance where people work with incomplete data. We often find that events in the financial markets cannot be described precisely, and this is where we can use fuzzy random variables. By proving the validity of the theorem on extreme values of fuzzy quantum space in our article, we see possible applications for estimating financial risks with incomplete data.

Suggested Citation

  • Viliam Ďuriš & Renáta Bartková & Anna Tirpáková, 2021. "Several Limit Theorems on Fuzzy Quantum Space," Mathematics, MDPI, vol. 9(4), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:438-:d:504013
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