Abstract Approach to Entropy and Co-Entropy in Measurable and Probability Spaces (Invited Lecture — Extended Abstract)
Gianpiero Cattaneo
DOI: http://dx.doi.org/10.15439/2023F0004
Citation: Proceedings of the 18th Conference on Computer Science and Intelligence Systems, M. Ganzha, L. Maciaszek, M. Paprzycki, D. Ślęzak (eds). ACSIS, Vol. 35, pages 63–64 (2023)
Abstract. In this talk, we discuss an abstract approach to entropy in countable measurable and induced probability spaces. We consider applications and interpretations of this approach in the context of Rough Set Theory, Fuzzy Set Algebras, as well as Conservative Classical Logics and Quantum Computing. The talk consists of three parts. The first part considers entropy as associated with measure distributions understood as sequences of non-negative values. The second part does the same for partitions. Finally, the third part refers to the aforementioned applications.