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All Journal Bulletin of Electrical Engineering and Informatics
Arkadii Chikrii
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences
Electrical & Electronics Engineering

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Differential quality game with fuzzy information for assessing financial resources for air quality monitoring in cities Arkadii Chikrii; Volodimir Malyukov; Valery Lakhno; Inna Malyukova; Adlet Kassymbekov; Raissa Uskenbayeva; Gabit Shuitenov; Bauyrzhan Tynymbayev
Bulletin of Electrical Engineering and Informatics Vol 15, No 3: June 2026
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/eei.v15i3.10545

Abstract

Rapid urbanization intensifies pressure on city air quality, making costeffective monitoring a governance priority. Existing sensor-placement approaches optimize coverage but often ignore strategic behavior of polluters and budget uncertainty, leading to fragile deployments. We propose a decision model that allocates monitoring funds via a bilinear differential game with fuzzy information between an environmental defender and a polluter. Unlike linear differential games solvable via the Cauchy formula, bilinear dynamics and non-measurable adversary strategies require a novel discreteapproximation method within a positional game scheme. The model captures dynamic financial interactions through membership functions and yields analytical characterizations of the defender's preference set and optimal pure strategies. Computational experiments on realistic scenarios illustrate stable funding regimes and support actionable guidance for urban planners: how much to invest, when, and where to expand monitoring stations to achieve resilient oversight under uncertainty. The framework can be embedded in intelligent decision-support tools for smart-city environmental management.
Co-Authors Adlet Kassymbekov Bauyrzhan Tynymbayev Gabit Shuitenov Inna Malyukova Raissa Uskenbayeva Valery Lakhno Volodimir Malyukov