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...

Full description

Bibliographic Details
Main Authors: Viliam Ďuriš, Renáta Bartková, Anna Tirpáková
Format: Article
Language:English
Published: MDPI AG 2021-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/4/438
_version_ 1797395631706210304
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.
first_indexed 2024-03-09T00:37:18Z
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