Journal "Software Engineering"
a journal on theoretical and applied science and technology
ISSN 2220-3397

Issue N9 2023 year

DOI: 10.17587/prin.14.442-451
Mathematical Modeling Method for Detecting the Fuzzy Occurrence of Dangerous Events
G. E. Rego, Postgraduate Student, Scientist, regoGr@yandex.ru, Institute of Mathematics and Information Technology, Petrozavodsk State University, Petrozavodsk, 185910, Russian Federation
Corresponding author: Grigoriy E. Rego, Postgraduate Student, Scientist, Institute of Mathematics and Information Technology, Petrozavodsk State University, Petrozavodsk, 185910, Russian Federation E-mail: regoGr@yandex.ru
Received on June 16, 2023
Accepted on July 11, 2023

The article describes a mathematical modeling method for detecting the fuzzy occurrence of dangerous events. A distinctive feature of this study is the assessment of the occurrence of dangerous events based on the use of fuzzy sets. Each dangerous event is associated with a subset of the set of sensors. The data is converted into some characteristics of the occurrence of an event, which are then fed to the input of the membership function of a set of dangerous events. In addition, an example of the application of this mathematical model is given, demonstrating its advantages and possibilities for its expansion. The appendix contains a table of possible dangerous events associ­ated with the functioning of the forest robot. The presented model can also be used to detect the fuzzy occurrence of dangerous events associated with human movement. The developed mathematical modeling method for detecting the occurrence of dangerous events has many applications. In particular, it contributes to the creation of a digital assistant to expand the capabilities of the senses of a remote human operator, and can also be used to control a mobile robot.

Keywords: mobile robot, mathematical modeling method, fuzzy set, digital assistant, forest robot
pp. 442–451
For citation:
Rego G. E. Mathematical Modeling Method for Detecting the Fuzzy Occurrence of Dangerous Events, Programmnaya Ingeneria, 2023, vol. 14, no. 9, pp. 442—451. DOI: 10.17587/prin.14.442-451.
The research is implemented with financial support by Russian Science Foundation, project no. 22-11-20040 (https://rscf.ru/en/project/22-11-20040/) jointly with Republic of Karelia and funding from Venture Investment Fund of Republic of Karelia (VIF RK).
References:
    • Alatise M. B., Hancke G. P. A Review on Challenges of Autonomous Mobile Robot and Sensor Fusion Methods, IEEE Access, 2020, vol. 8, pp. 39830—39846.
    • Rubio F., Valero F., Llopis-Albert C. A review of mobile robots: Concepts, methods, theoretical frame work, and applications, International Journal of Advanced Robotic Systems, 2019, vol. 16, no. 2, article 1729881419839596. DOI: 10.1177/1729881419839596.
    • Moshayedi A. J., Shuvam Roy A., Sambo S. K. et al. Review On: The Service Robot Mathematical Model, EAI Endorsed Trans AI Robotics, 2022, vol. 1, no. 1, p. e8. DOI: 10.4108/airo.v1i.20.
    • Tzafestas S. G. Mobile Robot Control and Navigation: A Global Overview, JIntell Robot Syst, 2018, vol. 91, no. 1, pp. 35—58. DOI: 10.1007/s10846-018-0805-9.
    • Ning H., Lipeng Q., Ruoxia L., Yuesheng L. Design of a Model Predictive Trajectory Tracking Controller for Mobile Robot Based on the Event-Triggering Mechanism, Mathematical Problems in Engineering, 2021, vol. 2021, article ID 5573467. DOI: 10.1155/2021/5573467.
    • Liang X., Xiao Y., Zhang J. et al. Stochastic event capturing with a single mobile robot in rectangular perimeters. Telecommun. Syst, 2013, vol. 52, no. 4, pp. 2519—2532. DOI: 10.1007/s11235-011-9570-9.
    • Antonelli G., Chiaverini S., Fusco G. A Fuzzy-Logic-Based Approach for Mobile Robot Path Tracking, IEEE Transactions on Fuzzy Systems, 2007, vol. 15, no. 2, pp. 211—221. DOI: 10.1109/ TFUZZ.2006.879998.
    • Ngangbam H. S., Khelchandra T. Mobile Robot Navigation Using Fuzzy Logic in Static Environments, Procedia Computer Science, 2018, vol. 125, pp. 11—17. DOI: 10.1016/j.procs.2017.12.004.
    • Aguirre E., Gonzalez A. Fuzzy behaviors for mobile robot navigation: Design, coordination and fusion, Int. J. Approx. Reas., 2000, vol. 25, pp. 255—289.
    • Rego G. E., Korzun D. G., Shchegoleva L. V. Forest Robot Project: A conceptual model for motion analysis of a mobile robotic system for reforestation and thinning, Prospects and opportunities for the use of digital technologies in science, education and management, Collection of materials of the All-Russian scientific and practical con­ference, Astrakhan, 2022, pp. 206—210 (in Russian).
    • Galaktionov O. N., Rego G. E., Tomskih M. G., Zavyalov S. A., Korzun D. G. On the design of a wheeled chassis and a sensor system for autonomous movement on difficult terrain with overcoming and bypassing obstacles when performing forestry work (article), CRDI RTC, Saint Petersburg, 2022, pp. 35—46 (in Russian).
    • Galaktionov O., Zavyalov S., Shchegoleva L., Korzun D. Features of Building a Forestry Intelligent Robotic System, Conference of Open Innovations Association, FRUCT, 2021, no. 29, pp. 433—436.
    • Korzun D. G. About the digital assistant for monitoring human resilience in everyday life, Big data and problems of society. Collection of articles on the results of the International Scientific Con­ference, Kirov, 2022, Tomsk, Publishing house of the Tomsk state University, 2022, pp. 86—89 (in Russian).
    • Bazhenov N., Korzun D. Event-Driven Video Services for Monitoring in Edge-Centric Internet of Things Environments. 25th Conference of Open Innovations Association (FRUCT), Helsinki, Finland, 2019, pp. 47—56, DOI: 10.23919/FRUCT48121.2019.8981505.
    • Anh T. N. B., Tan S.-L. Real-Time Operating Systems for Small Microcontrollers. IEEE Micro, 2009, vol. 29, no. 5, pp. 30— 45. DOI: 10.1109/MM.2009.86.
    • Rego G. E., Bazhenov N. A., Rybin E. I. Substantiation of equipment for a forest robot in relation to the scientific and produc­tion tasks to be solved, Robotics and artificial intelligence: materials of the XIV All-Russian scientific and technical conference with international participation, Zheleznogorsk, 26.11.2022, Krasnoyarsk, 2022, pp. 49—57 (in Russian).