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Complex-valued Rényi entropy.
- Source :
-
Communications in Statistics: Theory & Methods . 2024, Vol. 53 Issue 3, p926-937. 12p. - Publication Year :
- 2024
-
Abstract
- Complex-valued expression models have been widely used in the application of intelligent decision systems. However, there is a lack of entropy to measure the uncertain information of the complex-valued information. Therefore, how to reasonably measure the uncertain information of the complex-valued information is a gap to be filled. In this paper, inspired by the Rényi entropy, we propose the complex-valued Rényi entropy, which measures uncertain information of the complex-valued probability under the framework of complex number, and this is also the first time to measure uncertain information in the complex space. The complex-valued Rényi entropy contains the features of the classical Rényi entropy, i.e., the complex-valued Rényi entropy corresponds to different information functions with different parameters q. Moreover, complex-valued Rényi entropy has some properties, such as non-negativity, monotonicity and etc. Some numerical examples can demonstrate the flexibility and reasonableness of the complex-valued Rényi entropy. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RENYI'S entropy
*INFORMATION measurement
*COMPLEX numbers
Subjects
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 53
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 174101515
- Full Text :
- https://doi.org/10.1080/03610926.2022.2094963