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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
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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
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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
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Logical entropy and negative probabilities in quantum mechanics [PDF]
4 open, 2022 The concept of Logical Entropy, SL = 1-Σni=1 pi2 SL=1-∑i=1npi2$ {S}_{\mathrm{L}}=1-{\sum }_{i=1}^n {p}_i^2$, where the pi are normalized probabilities, was introduced by David Ellerman in a series of recent papers.
Manfredi Giovanni
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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
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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
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On Classical and Quantum Logical Entropy [PDF]
SSRN Electronic Journal, 2016 The notion of a partition on a set is mathematically dual to the notion of a subset of a set, so there is a logic of partitions dual to Boole's logic of subsets (Boolean logic is usually mis-specified as "propositional" logic).
David Ellerman
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Quantum logical entropy: fundamentals and general properties [PDF]
4 open, 2022 Logical entropy gives a measure, in the sense of measure theory, of the distinctions of a given partition of a set, an idea that can be naturally generalized to classical probability distributions.
Tamir Boaz +3 more
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SE-MSLC: Semantic Entropy-Driven Keyword Analysis and Multi-Stage Logical Combination Recall for Search Engine [PDF]
EntropyInformation retrieval serves as a critical methodology for accurately and efficiently obtaining the required information from massive amounts of data. In this paper, we propose an information retrieval framework (SE-MSLC) that utilizes information theory
Haihua Lu +3 more
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Introduction to logical entropy and its relationship to Shannon entropy [PDF]
4 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
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