scholarly journals Fuzzy Reliability Analysis With Fuzzy Random Variables Based on Perturbation Principle

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 78898-78908 ◽  
Author(s):  
Xiaobo Nie ◽  
Haibin Li
2012 ◽  
Vol 52 ◽  
pp. 35-46 ◽  
Author(s):  
Zhonglai Wang ◽  
Hong-Zhong Huang ◽  
Yanfeng Li ◽  
Yu Pang ◽  
Ning-Cong Xiao

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 438
Author(s):  
Viliam Ďuriš ◽  
Renáta Bartková ◽  
Anna Tirpáková

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.


1986 ◽  
Vol 114 (2) ◽  
pp. 409-422 ◽  
Author(s):  
Madan L Puri ◽  
Dan A Ralescu

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