Several Limit Theorems on Fuzzy Quantum Space
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...
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MDPI AG
2021-02-01
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Online Access: | https://www.mdpi.com/2227-7390/9/4/438 |
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author | Viliam Ďuriš Renáta Bartková Anna Tirpáková |
author_facet | Viliam Ďuriš Renáta Bartková Anna Tirpáková |
author_sort | Viliam Ďuriš |
collection | DOAJ |
description | 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. |
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format | Article |
id | doaj.art-3ddc9351b328485288ba45698d760acc |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-09T00:37:18Z |
publishDate | 2021-02-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
spelling | doaj.art-3ddc9351b328485288ba45698d760acc2023-12-11T18:02:24ZengMDPI AGMathematics2227-73902021-02-019443810.3390/math9040438Several Limit Theorems on Fuzzy Quantum SpaceViliam Ďuriš0Renáta Bartková1Anna Tirpáková2Department of Mathematics, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 949 74 Nitra, SlovakiaPodravka International s.r.o, Janka Jesenského 1486, SK-960 01 Zvolen, SlovakiaDepartment of Mathematics, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 949 74 Nitra, SlovakiaThe 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.https://www.mdpi.com/2227-7390/9/4/438fuzzy quantum spaceconvergences on fuzzy quantum spacelaw of large numberscentral limit theoremFisher–Tippett–Gnedenko theoremBalkema |
spellingShingle | Viliam Ďuriš Renáta Bartková Anna Tirpáková Several Limit Theorems on Fuzzy Quantum Space Mathematics fuzzy quantum space convergences on fuzzy quantum space law of large numbers central limit theorem Fisher–Tippett–Gnedenko theorem Balkema |
title | Several Limit Theorems on Fuzzy Quantum Space |
title_full | Several Limit Theorems on Fuzzy Quantum Space |
title_fullStr | Several Limit Theorems on Fuzzy Quantum Space |
title_full_unstemmed | Several Limit Theorems on Fuzzy Quantum Space |
title_short | Several Limit Theorems on Fuzzy Quantum Space |
title_sort | several limit theorems on fuzzy quantum space |
topic | fuzzy quantum space convergences on fuzzy quantum space law of large numbers central limit theorem Fisher–Tippett–Gnedenko theorem Balkema |
url | https://www.mdpi.com/2227-7390/9/4/438 |
work_keys_str_mv | AT viliamduris severallimittheoremsonfuzzyquantumspace AT renatabartkova severallimittheoremsonfuzzyquantumspace AT annatirpakova severallimittheoremsonfuzzyquantumspace |