Several Limit Theorems on Fuzzy Quantum Space

Mathematics

卷:9

Anna Tirpáková¹  Viliam Ďuriš¹  Renáta Bartková² 

[1] Department of Mathematics, Constantine The Philosopher University in Nitra, Tr. A. Hlinku 1, 949 74 Nitra, Slovakia;

[2] Podravka International s.r.o, Janka Jesenského 1486, SK-960 01 Zvolen, Slovakia;

关键词: fuzzy quantum space;    convergences on fuzzy quantum space;    law of large numbers;    central limit theorem;    Fisher–Tippett–Gnedenko theorem;    Balkema;   

DOI  :  10.3390/math9040438

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown