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Further Developments of Logical Entropy

SpringerBriefs in Philosophy, 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.
David Ellerman, Ellerman David
exaly   +2 more sources

Fuzzy orthopartitions and their logical entropy. [PDF]

, 2021
In this paper, we present special families of intuitionistic fuzzy sets called fuzzy orthopartitions, which are generalizations of standard fuzzy partitions useful to model situations where both vagueness and uncertainty are involved. Moreover, we define and explain how to compute the lower and upper entropy, which measure the quantity of information ...
Boffa S., Ciucci D.
openaire  

Exact computation of the entropy of a logic circuit

Proceedings of the Sixth Great Lakes Symposium on VLSI, 2002
Computing the entropy of a digital circuit has proved to be very useful for several applications in the area of VLSI system design. Recently, a method for entropy calculation has been used in the context of power estimation for logic circuits described at the register-transfer level.
MACII, Enrico, PONCINO, MASSIMO
openaire   +1 more source

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, Ebrahimzadeh, Abolfazl   +1 more
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Tsallis Entropy of Partitions in Quantum Logics

International Journal of Theoretical Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ebrahimzadeh, Abolfazl, Giski, Zahra Eslami   +1 more
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Conditional Entropy of Partitions on Quantum Logic

Communications in Theoretical Physics, 2007
Summary: A construction of conditional entropy of partitions on quantum logic is given, and the properties of conditional entropy are investigated.
Zhao, Yue-Xu, Ma, Zhi-Hao
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The Relationship Between Logical Entropy and Shannon Entropy

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 ...
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On Entropy of a Logical System.

J. Multiple Valued Log. Soft Comput., 2013
Logical system associated with the partition induced by the corresponding Lindenbaum-Tarski algebra makes possible to define its entropy. We consider three approaches to define the entropy of a logical system, metaphorically called algebraic, probabilistic and philosophical, and give some reasons to discard or accept some of them, resulting with a ...
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The entropy of observables on quantum logic

Reports on Mathematical Physics, 1984
Let L be a quantum logic, i.e., L is an orthocomplemented, orthomodular \(\sigma\)-lattice. Let A be an observable (i.e., \(\sigma\)-homomorphism from the Borel subsets \(B({\mathbb{R}}_ 1)\) into L), and let \(\alpha\) be a state, i.e., a probability measure on L. The resolution of 1 with respect to an observable A is a set \(M\subset \{A(E):\) \(E\in
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Logical Conditioning and Entropy Inference Based on Observational Data

Open Systems & Information Dynamics, 2001
The logical conditioning inference problem is studied when a simple condition setting a threshold for a potential observation of a scalar observable uncertain quantity is introduced as an additional information to the pieces of evidence originally available to make inference, which include observational data.
Alberto Solana-Ortega, Vicente Solana
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