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Algebraic Recognition Approach in IoT Ecosystem

Author

Listed:
  • Anvar Kabulov

    (School of Mathematics and Natural Sciences, New Uzbekistan University, Mustaqillik Ave. 54, Tashkent 100007, Uzbekistan
    Applied Mathematics and Intelligent Technologies Faculty, National University of Uzbekistan, Tashkent 100174, Uzbekistan)

  • Islambek Saymanov

    (School of Mathematics and Natural Sciences, New Uzbekistan University, Mustaqillik Ave. 54, Tashkent 100007, Uzbekistan
    Applied Mathematics and Intelligent Technologies Faculty, National University of Uzbekistan, Tashkent 100174, Uzbekistan
    College of Engineering, Central Asian University, Milliy Bog’ Street 264, Tashkent 111221, Uzbekistan)

  • Akbarjon Babadjanov

    (Department of Information Systems, University of Maryland, Baltimore County, 1000 Hilltop Circle, Baltimore, MD 21250, USA)

  • Alimdzhan Babadzhanov

    (Department of Algorithmization, Engineering Federation of Uzbekistan, Tashkent 100003, Uzbekistan)

Abstract

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.

Suggested Citation

  • Anvar Kabulov & Islambek Saymanov & Akbarjon Babadjanov & Alimdzhan Babadzhanov, 2024. "Algebraic Recognition Approach in IoT Ecosystem," Mathematics, MDPI, vol. 12(7), pages 1-26, April.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:7:p:1086-:d:1369919
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