Modelling and studying fuzzy dynamical systems
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The goal of this paper is to further develop the Yu. P. Pyt'ev fuzzy set theory. Based on this, the author suggests a new class of differential equations for describing fuzzy dynamics.
KeywordsClosed Interval Lipschitz Condition Fuzzy Variable Independent Increment Perceptive Variable
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- 2.A. S. Bychkov, “Differential equations; a possibility-theoretic approach,” In: 7th Creamean International Mathematical School, September 11–18, 2004. Abstracts of Reports [in Russian], p. 33.Google Scholar
- 3.A. S. Bychkov, “Constructing of the integral of a fuzzy walk process,” Visn. Kiivsogo Univ., Ser.: Fiz.-Mat. Nauki, No. 4, 125–133 (2005).Google Scholar
- 4.A. I. Chulikov, Mathematical Models of Nonlinear Dynamics [in Russian], Fizmatlit, Moscow (2000).Google Scholar
- 7.M. G. Merkur'ev “On a certain approach to the definition of the integral of fuzzy walk,” Visn. Kiivsogo Univ., Ser.: Fiz.-Mat. Nauki, No. 2, 224–230 (2006).Google Scholar
- 8.Yu. P. Pyt'ev, Possibiity. Elements of Theory and Applications [in Russian], URSS, Moscow (1990).Google Scholar
- 9.L. A. Zade, “Foundations of a new approach to analysis of complicated systems,” In: Mathematics Today [in Russian], Znanie, Moscow (1974).Google Scholar
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