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Increasing the Safety of Flights with the Use of Mathematical Model Based on Status Functions

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Recent Research in Control Engineering and Decision Making (ICIT 2019)

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 199))

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Abstract

The article deals with application of complex-valued status functions for development of the method of mathematical modeling of flights to ensure their safety based on the prevention of flight accidents. The application of the proposed method on the basis of status functions is shown using a precedent matrix of flight accidents. The method contains the steps corresponding to the Mamdani algorithm for the following purposes: the formation of the rules base, fuzzification, aggregation, activation, accumulation. Notable is the use of orthonormal basis of complex-valued status functions instead of membership functions, which changes the implementation at each stage. The configuration of flight operations safety management system is used on the input of which the information is received about the condition of the crew, instruments for measuring external factors and airborne equipment. The main parameters of the aircraft flight safety assessment are identified by formalization of expert information and the values of linguistic variables are formulated with their use. Orthonormal status functions were formed for which interpretation rules are presented. For activation we used status functions, which makes it possible to create a rule for the double evaluation of object and phenomenon when creating rules database. Analogues of minimax operations are used for accumulation with a demonstration of the form of these functions for different values of factors. Comparison of the proposed method with analogues is given (algorithms of Mamdani, Tsukamoto, Larsen and Sugeno).

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Author information

Authors and Affiliations

  1. Saratov State University, 83 Astrakhanskaya Street, Saratov, 410012, Russian Federation

    Irina Veshneva

  2. Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya, 29, Saint Petersburg, 195251, Russian Federation

    Aleksander Bolshakov

  3. Yuri Gagarin State Technical University of Saratov, 77 Politechnicheskaya Street, Saratov, 410054, Russian Federation

    Aleksei Kulik

Authors
  1. Irina Veshneva
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  2. Aleksander Bolshakov
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  3. Aleksei Kulik
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Corresponding author

Correspondence to Irina Veshneva .

Editor information

Editors and Affiliations

  1. Institute of Applied Information Technologies and Communication, Yuri Gagarin State Technical University of Saratov, Saratov, Russia

    Olga Dolinina

  2. Institute of Applied Information Technologies and Communication, Yuri Gagarin State Technical University of Saratov, Saratov, Russia

    Alexander Brovko

  3. Institute of Applied Information Technologies and Communication, Yuri Gagarin State Technical University of Saratov, Saratov, Russia

    Vitaly Pechenkin

  4. Institute of Applied Information Technologies and Communication, Yuri Gagarin State Technical University of Saratov, Saratov, Russia

    Alexey Lvov

  5. Department of Automation, Novosibirsk State Technical University, Novosibirsk, Russia

    Vadim Zhmud

  6. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Vladik Kreinovich

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Veshneva, I., Bolshakov, A., Kulik, A. (2019). Increasing the Safety of Flights with the Use of Mathematical Model Based on Status Functions. In: Dolinina, O., Brovko, A., Pechenkin, V., Lvov, A., Zhmud, V., Kreinovich, V. (eds) Recent Research in Control Engineering and Decision Making. ICIT 2019. Studies in Systems, Decision and Control, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-030-12072-6_49

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