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Kolmogorov–Sinai type logical entropy for generalized simultaneous measurements

Reports on Mathematical Physics, 2021
The present paper aims at developing a theory of logical entropy for p-preserving systems (L, p, ψ), where p is a Bayesian gs -map on a bounded lattice L and ψ is a p -preserving lattice homomorphism .
A. Shukla, M. Khare, Pratibha Pandey
semanticscholar   +2 more sources

Logical Entropy

New Foundations for Information Theory, 2021
D. Ellerman
semanticscholar   +2 more sources

The Relationship Between Logical Entropy and Shannon Entropy

New Foundations for Information Theory, 2021
This chapter is focused on developing the basic notion of Shannon entropy, its interpretation in terms of distinctions, i.e., the minimum average number of yes-or-no questions that must be answered to distinguish all the “messages.” Thus Shannon entropy is also a quantitative indicator of information-as-distinctions, and, accordingly, a “dit-bit ...
D. Ellerman
semanticscholar   +2 more sources

Further Developments of Logical Entropy

New Foundations for Information Theory, 2021
This chapter develops the multivariate (i.e., three or more variables) entropies. The Shannon mutual information is negative in the standard probability theory example of three random variables that are pair-wise independent but not mutually independent.
D. Ellerman
semanticscholar   +2 more sources

Logical entropy and aggregation of fuzzy orthopartitions

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefania Boffa, D. Ciucci
semanticscholar   +2 more sources

Unifying Entropies of Quantum Logic Based on Rényi Entropies

Reports on Mathematical Physics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giski, Zahra Eslami   +1 more
openaire   +2 more sources

Label-Free, High-Throughput, Sensitive, and Logical Analysis Using Biomimetic Array Based on Stable Luminescent Copper Nanoclusters and Entropy-Driven Nanomachine.

Analytical Chemistry, 2023
The development of an array for high-throughput and logical analysis of biomarkers is significant for disease diagnosis. DNA-templated copper nanoclusters (CuNCs) have a strong potential to serve as a label-free photoluminescence source in array ...
Chuyan Zhang   +6 more
semanticscholar   +1 more source

Logical Entropy of Partitions in Hyperproduct MV-algebras

European Journal of Pure and Applied Mathematics, 2020
In this paper, we introduce the algebraic structure hyperproduct MV-algebras which is  a generalization of product MV-algebras. In addition, we study the logical entropy and the logical conditional entropy of partitions in a hyperproduct MV-algebra and ...
Thananya Kaewnoi   +2 more
semanticscholar   +1 more source

Logical Network Cost and Entropy

IEEE Transactions on Computers, 1973
A measure of the minimum cost of a logical network is important in the evaluation of such networks. A hypothesis is investigated which states that the average minimum cost depends on both the number of input variables and the entropy (``entropy'' in this sense is based on the probability of a ``1'' in the functions' truth table) of the function ...
Robert W. Cook, Michael J. Flynn
openaire   +1 more source

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