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On Continuous Random Processes with Fuzzy States
AbstractContinuous random processes with fuzzy states are studied. The properties of their numerical characteristics (expectations and correlation...
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On Some Properties of Fuzzy Expectations and Nonlinear Fuzzy Expectations of Fuzzy-Random Variables
AbstractFor fuzzy expectations of fuzzy-random variables, the properties of idempotency, homogeneity, additivity, monotonicity, and extremal...
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Robust Control for Discrete-Time T-S Fuzzy Singular Systems
This paper deals with the robust admissibility and state feedback stabilization problems for discrete-time T-S fuzzy singular systems with...
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Estimates for the Deviations of Integral Operators in Semilinear Metric Spaces and Their Applications
We develop the theory of approximations in functional semilinear metric spaces that allows us to consider the classes of multi- and fuzzy-valued...
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Existence and uniqueness for fuzzy differential equation with Hilfer–Katugampola fractional derivative
In this paper, we study a kind of fuzzy differential equation with Hilfer–Katugampola fractional derivative and nonlocal condition. By using...
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Control of Set of System Parameter Values by the Ant Colony Method
AbstractThe paper considers the modification and application of the ant colony method for the problem of directed enumeration of the values of system...
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Gibbs Periodic Measures for a Two-State HC-Model on a Cayley Tree
In this paper, we study a two-state Hard-Core (HC) model with activity λ > 0 on a Cayley tree of order k ≥ 2 . It is known that there are λ cr ,
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Generalized Sequential Differential Calculus for Expected-Integral Functionals
Motivated by applications to stochastic programming, we introduce and study the expected-integral functionals, which are map**s given in an...
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Meters and Rhythm
This chapter reviews first the socio-biological genealogy of rhythm and then Mazzola’s mathematical theory of meter and rhythm, together with...
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Controller Tuning by Metaheuristics Optimization
Metaheuristics are suitable for optimizing a broad class of problems. Subsequently, metaheuristics have attracted the attention of researchers from...
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Singularly Perturbed Problems with Multi-Tempo Fast Variables
AbstractThe article contains a survey of publications studying problems characterized by the presence of fast variables with various rates of change...
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Hyperfinite graphings and combinatorial optimization
We exhibit an analogy between the problem of pushing forward measurable sets under measure preserving maps and linear relaxations in...
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From Large Deviations to Semidistances of Transport and Mixing: Coherence Analysis for Finite Lagrangian Data
One way to analyze complicated non-autonomous flows is through trying to understand their transport behavior. In a quantitative, set-oriented...
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Recurrent Algorithms of Structural Classification Analysis for Complex Organized Information
For the structural classification analysis of complex organized information, we propose to use recurrent algorithms of stochastic approximation type....
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Disturbance Observers: Methods and Applications. I. Methods
The survey is devoted to an exposition of the history of development and the current state of theoretical methods for constructing disturbance...
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Dynamic metabolic resource allocation based on the maximum entropy principle
Organisms have evolved a variety of mechanisms to cope with the unpredictability of environmental conditions, and yet mainstream models of metabolic...
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Random Sets and Random Functions
A random set is a multivalued measurable function defined on a probability space. If this multivalued function depends on the second argument (e.g.,...
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Search for C-optimal routes in graphs
We propose search algorithms for paths in graphs that are optimal in the sense of a given choice function. As an example we consider the choice...
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Paradigmatic Classification
Paradigmatic classification deals with formation of classes of objects which belong to specific paradigms. Here, paradigms are fields of equivalence...