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Logical Entropy of Information Sources [PDF]

open access: yesEntropy, 2022
In this paper, we present the concept of the logical entropy of order m, logical mutual information, and the logical entropy for information sources. We found upper and lower bounds for the logical entropy of a random variable by using convex functions ...
Peng Xu, Yamin Sayyari, Saad Ihsan Butt
doaj   +4 more sources

Logical Divergence, Logical Entropy, and Logical Mutual Information in Product MV-Algebras [PDF]

open access: yesEntropy, 2018
In the paper we propose, using the logical entropy function, a new kind of entropy in product MV-algebras, namely the logical entropy and its conditional version.
Dagmar Markechová   +2 more
doaj   +4 more sources

Logical Entropy: Introduction to Classical and Quantum Logical Information Theory [PDF]

open access: yesEntropy, 2018
Logical information theory is the quantitative version of the logic of partitions just as logical probability theory is the quantitative version of the dual Boolean logic of subsets.
David Ellerman
doaj   +4 more sources

Introduction to logical entropy and its relationship to Shannon entropy

open access: yes4 open, 2022
We live in the information age. Claude Shannon, as the father of the information age, gave us a theory of communications that quantified an “amount of information,” but, as he pointed out, “no concept of information itself was defined.” Logical entropy ...
Ellerman David
doaj   +3 more sources

Logical Entropy of Fuzzy Dynamical Systems

open access: yesEntropy, 2016
Recently the logical entropy was suggested by D. Ellerman (2013) as a new information measure. The present paper deals with studying logical entropy and logical mutual information and their properties in a fuzzy probability space.
Dagmar Markechová, Beloslav Riečan
doaj   +3 more sources

Logical Entropy and Logical Mutual Information of Experiments in the Intuitionistic Fuzzy Case

open access: yesEntropy, 2017
In this contribution, we introduce the concepts of logical entropy and logical mutual information of experiments in the intuitionistic fuzzy case, and study the basic properties of the suggested measures. Subsequently, by means of the suggested notion of
Dagmar Markechová, Beloslav Riečan
doaj   +3 more sources

Logical Entropy of Dynamical Systems—A General Model

open access: yesMathematics, 2017
In the paper by Riečan and Markechová (Fuzzy Sets Syst. 96, 1998), some fuzzy modifications of Shannon’s and Kolmogorov-Sinai’s entropy were studied and the general scheme involving the presented models was introduced.
Abolfazl Ebrahimzadeh   +2 more
doaj   +3 more sources

Logical entropy of quantum dynamical systems

open access: yesOpen Physics, 2016
This paper introduces the concepts of logical entropy and conditional logical entropy of hnite partitions on a quantum logic. Some of their ergodic properties are presented.
Ebrahimzadeh Abolfazl
doaj   +2 more sources

Information-Theoretic Framework for Quantum State Purification and Error Correction via Symmetric Subspace Projection [PDF]

open access: yesEntropy
The severe susceptibility of qubits to environmental noise remains the primary obstacle to practical quantum computing. To overcome this, we introduce a purification-assisted quantum error-correction (QEC) framework that embeds a symmetric subspace ...
Jiaqi Tang, Mu-Jiang-Shan Wang
doaj   +2 more sources

Evaluation and optimization of resource matching for perception services in power communication networks [PDF]

open access: yesScientific Reports
In the cloud–edge–end communication architecture of the new power system, heterogeneous perception services face a fundamental and long-standing demand–supply mismatch with multi-dimensional resources (computing, storage, spectrum/bandwidth, and power ...
Lei Wei   +4 more
doaj   +2 more sources

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