Logical entropy of dynamical systems

Markechová, Dagmar; Ebrahimzadeh, Abolfazl; Giski, Zahra Eslami

doi:10.1186/s13662-018-1524-z

Cited by 6 publications

(5 citation statements)

References 17 publications

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“…This category is used by many researchers [2][3][4][5][6], including in the application to projects and project-oriented organizations in general [7][8][9][10][11]. As a rule, information entropy is understood as a measure of project risk, and its dynamism is considered from a mathematical point of view [12,13]. The work [14] establishes the relationship between the energy entropy of an organization and the measure of its orderliness -information entropy.…”

Section: Analysis Of Literature and Researchmentioning

confidence: 99%

“…2020. № 3 (13) ISSN 2524-2296 (online) So, if new projects not related to development are added to the structure of an organization's project portfolio, then ideally the dynamics of the information entropy of the organization should be as in fig. 3, which demonstrates the dynamics of information entropy H with and without new projects (dotted line), based on dynamics of information entropy of new projects.…”

Section: Fig 1 Dynamics Of Information Entropy and Relative Projectmentioning

confidence: 99%

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Monitoring the Dynamics of a Project-Oriented Organization Energy Entropy

Bondar

2020

Innovative Technologies and Scientific Solutions for Industries

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The subject of the research is the approaches to studying the dynamics of information and energy entropy of a project-oriented organization. The purpose of this study is to develop an approach for monitoring the dynamics of energy entropy when adding a new project to the portfolio of a project-oriented organization. To achieve this goal, it is necessary to perform the following tasks: determine the expression of the criterion for the success of the project in the framework of the energy-entropic concept of the organization, formulate entropic barriers and ways to overcome them. The following methods are used: systems analysis, probability theory, energy-entropy theory. Results. The main parameters that determine the dynamics of the organization's energy entropy are information entropy and relative energy efficiency. When a new project is added to an organization's structure, it takes time to improve its energy efficiency. Therefore, to form conclusions on the analysis of changes in entropy, it is important to review the period and take into account its relationship with new projects of the organization. The dynamics of the information entropy of development projects and their influence on the information entropy of the organization are described. It was found that negative leaps of information entropy are possible as a result of the implementation of projects aimed at changing business processes, quality of resources, etc. The work proposes a criterion for the success of the project, taking into account the time period that is "provided" to the project for the manifestation of its result in terms of energy entropy. Also, the work formulated barriers for information and energy entropies as levels, upon reaching which the organization is destroyed. Conclusions. This article presents a tool for analyzing the dynamics of information entropy and energy entropy of a project-oriented organization when a new project is added to the portfolio. Also, a criterion for the success of the project is proposed, taking into account the time period that is "provided" to the project for the manifestation of its result in terms of energy entropy. Entropic barriers of a project-oriented organization are formulated and ways to overcome them are proposed to reduce entropy, increase energy efficiency and ensure its development.

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Section: Analysis Of Literature and Researchmentioning

confidence: 99%

Section: Fig 1 Dynamics Of Information Entropy and Relative Projectmentioning

confidence: 99%

Monitoring the Dynamics of a Project-Oriented Organization Energy Entropy

Bondar

2020

Innovative Technologies and Scientific Solutions for Industries

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“…Ebrahimzadeh [ 15 ] proposed the logical entropy of a quantum dynamical system and investigated its ergodic properties. However, the logical entropy of a fuzzy dynamical system was investigated in [ 7 ] (see also [ 16 ]). Tamir et al [ 17 ] extended the idea of logical entropy over the quantum domain and expressed it in terms of the density matrix.…”

Section: Introduction and Basic Notionsmentioning

confidence: 99%

Logical Entropy of Information Sources

Sayyari

Butt

2022

Entropy

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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. We show that the logical entropy of the joint distributions X1 and X2 is always less than the sum of the logical entropy of the variables X1 and X2. We define the logical Shannon entropy and logical metric permutation entropy to an information system and examine the properties of this kind of entropy. Finally, we examine the amount of the logical metric entropy and permutation logical entropy for maps.

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“…The successful using of the Kolmogorov and Sinai entropy of dynamical systems has led to an intensive study of various aspects of alternative entropy measures of dynamical systems. We note that in the recently published paper [8], the notion of logical entropy H l (T) of a dynamical system (Ω, S, P, T) was proposed and studied. It has been shown that by replacing the Shannon entropy function by the logical entropy function l :…”

Section: Introductionmentioning

confidence: 99%