Algorithmic Analysis of the System Based on the Functioning Table and Information Security

Kabulov, Anvar; Yarashov, Inomjon; Otakhonov, Alisher

doi:10.1109/iemtronics55184.2022.9795746

Cited by 16 publications

(6 citation statements)

References 33 publications

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“…In [12], algebraic methods for solving recognition problems with a finite number of intersecting classes were developed. For each recognition problem Z in terms of algebra over families of heuristic algorithms, a correct algorithm was constructed, e.g., an algorithm that correctly classifies a given finite sample of objects for each of the classes.…”

Section: Algebraic Methods For Solving Recognition Problems With Non-...mentioning

confidence: 99%

“…The purpose of the research in this article is to develop effective object recognition methods to solve the identification problem in the IoT ecosystem of the Aral region. The objective of the research is to develop correct recognition algorithms based on an algebraic approach in solving the problem of identifying [11][12][13][14][15] the flow of information in the IoT ecosystem of the Aral region, which is described in detail in work [15] of the authors of this paper.…”

Section: Introductionmentioning

confidence: 99%

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Algebraic Recognition Approach in IoT Ecosystem

Kabulov,

Saymanov,

Babadjanov

et al. 2024

Mathematics

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The solution to the problem of identifying objects in the IoT ecosystem of the Aral region is analyzed. The problem of constructing a correct algorithm with linear closure operators of a model for calculating estimates for identifying objects in the IoT ecosystem of the Aral region is considered. An algorithm operator is developed, which is considered correct for the problem Z, is the sum of q operators of the assessment calculation model, and is described by a set of numerical parameters 3·n·m·q, where n is the number of specified features, m is the number of reference objects, and q is the set of recognized objects. Within the framework of the algebraic approach, several variants of linear combinations of recognition operators are constructed, the use of which gives the correct answer on the control material, and this is proven in the form of theorems. The constructed correct recognition algorithms, which are the easiest to use, where there is no optimization procedure, make it possible to quickly solve the issue of identifying incoming information flows in the IoT ecosystem of the Aral region.

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Section: Algebraic Methods For Solving Recognition Problems With Non-...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Algebraic Recognition Approach in IoT Ecosystem

Kabulov,

Saymanov,

Babadjanov

et al. 2024

Mathematics

Self Cite

View full text Add to dashboard Cite

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“…Let {Y } be the set of all possible groupings in system (1). Let us assume that after some grouping of the elements of the statements of system (1) we have obtained…”

Section: Problem Statementmentioning

confidence: 99%

“…From the beginning we prove the theorem of simplified representation of statements of the system of Boolean equations of the second degree. Next, we construct an algorithm for simplifying the notation of system (1). Let B = ||a ij || n×n be the correspondence matrix of some equation of system (1).…”

Section: Problem Statementmentioning

confidence: 99%

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Optimal Method for Solving Special Classes of Systems of Nonlinear Equations of the Second Degree

Baizhumanov

2023

JMMCS

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In order to simplify the notation and reduce the time for solving systems of Boolean equations, a method is proposed that is optimal for solving a separate class of systems of nonlinear Boolean equations of the second degree. In the class of systems of non-linear Boolean equations under study, logical formulas are divided completely or partially into some linear factors. As a result, logical formulas are reduced to a product of linear polynomials, on the basis of which a system of linear Boolean equations is obtained, which is solved an order of magnitude easier than a system of second-order Boolean equations. It is considered some problems of minimization of special disjunctive normal forms obtained from the Zhegalkin polynomial of the second degree of a special class.

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Development of a reliable method for grouping users in user access control based on a Functioning table

Yarashov

2022

2022 International Conference on Information Science and Communications Technologies (ICISCT)

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Algorithmic Analysis of the System Based on the Functioning Table and Information Security

Cited by 16 publications

References 33 publications

Algebraic Recognition Approach in IoT Ecosystem

Algebraic Recognition Approach in IoT Ecosystem

Optimal Method for Solving Special Classes of Systems of Nonlinear Equations of the Second Degree

Development of a reliable method for grouping users in user access control based on a Functioning table

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