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    Article

    Shapley Value of Homogeneous Cooperative Games

    The paper gives a description of the integral representation of the Shapley value for polynomial cooperative games. This representation obtained using the so-called Shapley functional. The relationship between...

    V. A. Vasil’ev in Computational Mathematics and Mathematical Physics (2023)

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    Article

    Nonadditive Integration and Some Solutions of Cooperative Games

    The paper proposes three non-additive integration schemes based on various extensions of integrable functions and nonadditive set functions to the corresponding symmetric powers of the original measurable spa...

    V. A. Vasil’ev in Automation and Remote Control (2022)

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    Article

    On the Core and Shapley Value for Regular Polynomial Games

    Considering some classes of polynomial cooperative games, we describe the integral representation of the Shapley values and the support functions of their cores. Also, we analyze the relationship between the S...

    V. A. Vasil’ev in Siberian Mathematical Journal (2022)

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    Article

    Characteristics of Stereoregular cis-1,4-Polyisoprene Obtained under the Conditions of a Large-Tonnage Production Process on Titanium and Lanthanide Catalysts Modified in Turbulent Flows

    cis-1,4-Polyisoprene was prepared under conditions of the industrial production process using small high-performance diffuser–confuser tubular turbulent apparatuses in the stage of formation of titanium, neodymiu...

    I. Sh. Nasyrov, D. A. Zhavoronkov, O. K. Shurupov in Russian Journal of Applied Chemistry (2021)

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    Article

    Multifuel Combustible Mixtures: Synthesis Gas (CO–H2)

    The authors have presented new data on the parameters of combustion and detonation of biofuel mixtures of carbon oxide and hydrogen (synthesis gas) with oxygen and air with variation of the ratio between CO and H

    A. A. Vasil’ev, V. A. Vasil’ev in Journal of Engineering Physics and Thermophysics (2021)

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    Article

    Core and Superdifferential of a Fuzzy \(TU\) -Cooperative Game

    In the paper, we consider conditions providing the coincidence of the cores and superdifferentials of fuzzy cooperative games with side payments. It turned out that weak homogeneity is one of the simplest suf...

    V. A. Vasil’ev in Automation and Remote Control (2021)

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    Article

    Unblocked Imputations of Fuzzy Games. II: Nonemptiness of Cores of Two Market Games

    We consider a generalization of the Scarf theorem on the nonemptiness of game cores to the case of fuzzy cooperative games without side payments. We consider applications of the generalized Scarf theorem to fi...

    V. A. Vasil’ev in Journal of Mathematical Sciences (2021)

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    Article

    An Analog of the Bondareva–Shapley Theorem. II. Examples of \(V \) -Balanced Fuzzy Games

    This paper continues the research work [2], which generalizes the well-known Bondareva–Shapley theorem to the case of fuzzy cooperative ...

    V. A. Vasil’ev in Automation and Remote Control (2021)

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    Article

    Hydrocarbon Fuels: Gas-Dynamic and Energy Parameters of Detonation

    Data on the most important combustion and detonation parameters, such as wave velocities, pressures and temperatures of products, specific energy release of mixtures are presented for saturated hydrocarbons C ...

    A. A. Vasil’ev, V. A. Vasil’ev in Combustion, Explosion, and Shock Waves (2020)

  10. No Access

    Article

    Unblocked Imputations of Fuzzy Games. I: Existence

    We generalize the well-known Scarf theorem on the nonemptiness of the core to the case of generalized fuzzy cooperative games without side payments provided that the set of blocking coalitions is extended by t...

    V. A. Vasil’ev in Journal of Mathematical Sciences (2020)

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    Article

    Optimization of Losses in the Shaft-End Seals of High-Power Feedwater Pumps of Thermal Power Plants

    The losses in the shaft-end seals of high-power feed water pumps are estimated. The effects of different seal designs on the overall efficiency of the pump are compared.

    A. N. Turkin, V. A. Vasil’ev in Power Technology and Engineering (2020)

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    Article

    Quality Management in Manufacturing and Technological Systems

    This article discusses the peculiar features of quality management in modern manufacturing and technological systems with consideration for risk-based thinking, in particular, which characterizes quality as a ...

    V. A. Vasil’ev, E. Yu. Barmenkov, E. B. Bobryshev in Russian Metallurgy (Metally) (2019)

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    Article

    Undominatedness of Equilibria in a Mixed Economy of Arrow—Debreu Type

    We consider a model of economy with two markets for each product: one—state and the other—competitive. Moreover, both markets coexist in the same economic space allowing free movement of goods and means of pay...

    V. A. Vasil’ev in Journal of Applied and Industrial Mathematics (2019)

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    Article

    An Analog of the Bondareva-Shapley Theorem I. The Non-Emptiness of the Core of a Fuzzy Game

    This paper deals with a generalization of the famous Bondareva-Shapley theorem [1, 9] on the core of TU cooperative games to the case of fuzzy blocking. The suggested approach is based on the concept of a bala...

    V. A. Vasil′ev in Automation and Remote Control (2019)

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    Article

    Frequency Characteristics and Forced Vibrations of the Rotors of High-Power Feeder Pumps of Thermal Electric Power Stations

    The reliability of the feed pumps of electric stations and service life depend principally on the pump vibration regime. Self-oscillation of the rotor leading to emergency shutdown of the pump has been observe...

    V. A. Vasil’ev, A. Yu. Nitskii in Power Technology and Engineering (2019)

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    Article

    Barring of Turbine-Driven Feed Pumps at TPPS

    The results of analysis of the high-speed barring operation of feed pumps are presented. The absence of resonances of the drive turbine rotor over a wide speed range allows warming up feed pumps at a speed of ...

    V. A. Vasil’ev, V. I. Sirotkin, A. V. Erpalov in Power Technology and Engineering (2019)

  17. No Access

    Article

    Metrological Self-Checking of Smart Sensors of Measurement and Control Systems

    The basic structural blocks and functional capabilities of smart sensors are considered. An implementation of the functions of metrological diagnostic self-checking of sensors equipped with a bridge measuring ...

    E. M. Belozubov, V. A. Vasil’ev, P. S. Chernov in Measurement Techniques (2018)

  18. No Access

    Article

    On the k-accessibility of cores of TU-cooperative games

    This paper proposes a strengthening of the author’s core-accessibility theorem for balanced TU-cooperative games. The obtained strengthening relaxes the influence of the nontransitivity of classical domination αv...

    V. A. Vasil’ev in Automation and Remote Control (2017)

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    Article

    Combining Measurement and Control Functions in the Structure of a Multilayer Piezoelectric Actuator of Nano- and Micro-Motions

    The principles of creating precision positioning devices based on the piezoelectric effect were studied. A promising scientific direction in the development of piezo actuators is distinguished – the creation o...

    V. A. Bardin, V. A. Vasil’ev in Measurement Techniques (2017)

  20. No Access

    Article

    Piezoactuators and Piezomotors with Nano- and Micro-Dimensional Resolution for Test and Control Equipment

    The state of development and production of test and control equipment with nano- and microsize resolution is investigated. The results of the development analysis are presented, the classification of piezoactu...

    V. A. Bardin, V. A. Vasil’ev, P. S. Chernov in Measurement Techniques (2017)

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