1
Gaziantep University, Department of Mathematics, Gaziantep, Turkey
(muratozcek.12@gmail.com)
Abstract :
“Fuzzy probability theory” appeared as a smooth extension of classical probability theory in 1995. It was expected that it will be of great importance in quantum mechanics, but the theory doesn’t keep its development as it was expected. This necessitates revising some of its fundamental basic concepts. We argue that if quantum probability theory should have less constrained than classical probability theory as can be seen in the case of joint random variables, we surely need to weaken the definition of the intersection operation. In this paper, discuss the definition validity in quantum probability theory and to discuss the consistency of the given definitions with the whole theory and the possibility to have a more suitable definition.
Keywords :
probability theory; quantum mechanics; fuzzy set; fuzzy probability
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| Style | # |
|---|---|
| MLA | Murat Ozcek. "The Intersections Based on Joint Observables In Fuzzy Probability." Galoitica: Journal of Mathematical Structures and Applications, Vol. 5, No. 2, 2023 ,PP. 17-26 (Doi : https://doi.org/10.54216/GJMSA.050203) |
| APA | Murat Ozcek. (2023). The Intersections Based on Joint Observables In Fuzzy Probability. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 2 ), 17-26 (Doi : https://doi.org/10.54216/GJMSA.050203) |
| Chicago | Murat Ozcek. "The Intersections Based on Joint Observables In Fuzzy Probability." Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 no. 2 (2023): 17-26 (Doi : https://doi.org/10.54216/GJMSA.050203) |
| Harvard | Murat Ozcek. (2023). The Intersections Based on Joint Observables In Fuzzy Probability. Journal of Galoitica: Journal of Mathematical Structures and Applications, 5 ( 2 ), 17-26 (Doi : https://doi.org/10.54216/GJMSA.050203) |
| Vancouver | Murat Ozcek. The Intersections Based on Joint Observables In Fuzzy Probability. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2023); 5 ( 2 ): 17-26 (Doi : https://doi.org/10.54216/GJMSA.050203) |
| IEEE | Murat Ozcek, The Intersections Based on Joint Observables In Fuzzy Probability, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 5 , No. 2 , (2023) : 17-26 (Doi : https://doi.org/10.54216/GJMSA.050203) |