Several Limit Theorems on Fuzzy Quantum Space

Viliam Ďuriš, Renáta Bartková and Anna Tirpáková
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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

Mathematics, 2021, vol. 9, issue 4, 1-14

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.

Keywords: fuzzy quantum space; convergences on fuzzy quantum space; law of large numbers; central limit theorem; Fisher–Tippett–Gnedenko theorem; Balkema; de Haan–Pickands theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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