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- Title
Hypernormed entropy on topological hypernormed hypergroups.
- Authors
Ghasemi, Khatereh; Jamalzadeh, Javad
- Abstract
The study of entropies of hypergroups in scientific disciplines such as chemistry, physics, geometry and coding theory helps us to calculate the chaos of the scientific processes of phenomena. In this respect, different entropies on hypergroups have been defined and their systemic properties have been investigated. This paper introduces the notion of hypernormed entropy on topological hypernormed hypergroups and provides some interesting examples. The study investigates the fundamental properties of this entropy such as invariance under conjugation, invariance under inversion, the logarithmic law, monotonicity for subflows and continuity for direct limits.
- Subjects
HYPERGROUPS; CODING theory; TOPOLOGICAL entropy; ENTROPY (Information theory)
- Publication
Soft Computing - A Fusion of Foundations, Methodologies & Applications, 2022, Vol 26, Issue 1, p99
- ISSN
1432-7643
- Publication type
Article
- DOI
10.1007/s00500-021-06434-5