Zobrazeno 1 - 10
of 80
pro vyhledávání: '"logical entropy"'
Autor:
Zohreh Nazari, Elham Zangiabadi
Publikováno v:
Transactions on Fuzzy Sets and Systems, Vol 3, Iss 2, Pp 172-185 (2024)
In this study, we present the ideas of logical entropy and logical conditional entropy for partitions in interval-valued intuitionistic fuzzy sets, and we establish their fundamental properties. First, we establish the definitions of logical entropy
Externí odkaz:
https://doaj.org/article/4c6ea6b85f3f4a6c8756468a0092ec98
Autor:
David Ellerman
Publikováno v:
Foundations, Vol 4, Iss 2, Pp 175-204 (2024)
There is a fundamental subsets–partitions duality that runs through the exact sciences. In more concrete terms, it is the duality between elements of a subset and the distinctions of a partition. In more abstract terms, it is the reverse-the-arrows
Externí odkaz:
https://doaj.org/article/b780d53bc2d04ab0bacd679aa435408e
Autor:
Uosef Mohammadi
Publikováno v:
Journal of Mahani Mathematical Research, Vol 13, Iss 1, Pp 13-21 (2023)
In the context of observers, any mathematical model according to the viewpoint of an observer $ \Theta $ is called a relative model. The purpose of the present paper is to study the relative model of logical entropy. Given an obs
Externí odkaz:
https://doaj.org/article/3546bcaacbf54767b17873b8d7ee2209
Autor:
David Ellerman
Publikováno v:
Entropy, Vol 26, Iss 2, p 169 (2024)
The new logic of partitions is dual to the usual Boolean logic of subsets (usually presented only in the special case of the logic of propositions) in the sense that partitions and subsets are category-theoretic duals. The new information measure of
Externí odkaz:
https://doaj.org/article/ebc5890f95cc45b0b24b16708db1fac0
Akademický článek
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Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-17 (2018)
Abstract 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 an
Externí odkaz:
https://doaj.org/article/1c67855b060344e4a60c4d92e38318df
Publikováno v:
Entropy, Vol 24, Iss 9, p 1174 (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 functio
Externí odkaz:
https://doaj.org/article/533dfd4c15dd46ba80a811a09b5cee4d
Autor:
Ellerman David
Publikováno v:
4 open, Vol 5, p 1 (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.” Logic
Externí odkaz:
https://doaj.org/article/c22d0dc03d48494fa9784749bf67a59e
Publikováno v:
4 open, Vol 5, p 2 (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. Here, we analyze how this fundamental concept and ot
Externí odkaz:
https://doaj.org/article/5582fdbe0b8644c7a710174d5bb27df3
Akademický článek
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