Logical Entropy of Information Sources [PDF]
Entropy, 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 +7 more sources
Logical Divergence, Logical Entropy, and Logical Mutual Information in Product MV-Algebras [PDF]
Entropy, 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 +8 more sources
Logical Entropy: Introduction to Classical and Quantum Logical Information Theory [PDF]
Entropy, 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 +8 more sources
Logical Entropy of Fuzzy Dynamical Systems [PDF]
Entropy, 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 +5 more sources
Logical entropy of dynamical systems [PDF]
Advances in Difference Equations, 2018 The main purpose of the paper is to extend the results of Ellerman (Int. J. Semant. Comput. 7:121–145, 2013) to the case of dynamical systems. We define the logical entropy and conditional logical entropy of finite measurable partitions and derive the ...
Dagmar Markechová +2 more
doaj +5 more sources
Logical Entropy of Dynamical Systems—A General Model [PDF]
Mathematics, 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 +5 more sources
Logical Entropy and Logical Mutual Information of Experiments in the Intuitionistic Fuzzy Case [PDF]
Entropy, 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 +6 more sources
Logical entropy of quantum dynamical systems
Open 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]
EntropyThe 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
Research on Unit Availability Assessment Model for Roadway High-Entropy Energy Integrating Output Capacity and Behavioral Orderliness [PDF]
EntropyDue to the stochastic and fluctuating nature of output from roadway high-entropy energy units, traditional evaluation metrics based on fault statistics struggle to comprehensively assess their availability.
Juexiao Chen +4 more
doaj +2 more sources