AUTHOR KEYWORDS: Fractional calculus; Fuzzy control systems; Fuzzy fractional Hamiltonian function; Fuzzy optimal control; Pontryagin maximum principle PUBLISHER: American Institute of Mathematical Sciences
AUTHOR KEYWORDS: Fuzzy derivative and integral; Fuzzy fundamental theorem of calculus; Fuzzy Taylor formula; Zadeh's extension INDEX KEYWORDS: Fuzzy set theory, Fundamental theorem of calculus; Fuzzy derivatives; Fuzzy function; Integral operators; Taylor expansions; Taylor formula; Zadeh's extension; Zadeh's extension principles, Calculations PUBLISHER: Elsevier B.V.
AUTHOR KEYWORDS: Active contour; Segmentation; STIR MRI INDEX KEYWORDS: Bone; Magnetic resonance imaging, Active contour method; Active contours; Active contours model; Edge information; Inhomogeneities; Local structure; STIR-sequence; Subcutaneous fat, Image segmentation PUBLISHER: Institute of Electrical and Electronics Engineers Inc.
We introduce a new approach to study the practical stability of hybrid fuzzy systems on time scales in the Lyapunov sense. Our method is based on the delta-Hukuhara derivative for fuzzy valued functions and allow us to obtain new interesting stability criteria. We also show the validity of the results of M. Sambandham: Hybrid fuzzy systems on time scales, Dynam. Systems Appl., 12 (1-2) (2003), 217-227, by embedding the space of all fuzzy subsets into a suitable Banach space.
AUTHOR KEYWORDS: Fuzzy dynamical systems; Fuzzy hybrid systems; Practical stability; Time scales PUBLISHER: University of Belgrade
INDEX KEYWORDS: Intelligent systems, Euler-Lagrange; Fractional derivatives; Necessary optimality condition; New results; Riemann-liouville h-differentiability; Riemann-Liouville sense; Variational problems, Variational techniques PUBLISHER: Institute of Electrical and Electronics Engineers Inc.
This paper deals with ridge estimation of fuzzy nonparametric regression models using triangular fuzzy numbers. This estimation method is obtained by implementing ridge regression learning algorithm in the Lagrangian dual space. The distance measure for fuzzy numbers that suggested by Diamond is used and the local linear smoothing technique with the cross validation procedure for selecting the optimal value of the smoothing parameter is fuzzified to fit the presented model. Some simulation experiments are then presented which indicate the performance of the proposed method.
AUTHOR KEYWORDS: Fuzzy nonparametric regression; Fuzzy regression; Local linear smoothing; Ridge estimation
This paper investigates the existence and uniqueness of solutions to first-order nonlinear boundary value problems (BVPs) involving fuzzy differential equations and two-point boundary conditions. Some sufficient conditions are presented that guarantee the existence and uniqueness of solutions under the approach of Hukuhara differentiability.
AUTHOR KEYWORDS: Boundary value problems; Fuzzy differential equations; Fuzzy numbers
We are concerned with the development of a α-step method for the numerical solution of fuzzy initial value problems. Convergence and stability of the method are also proved in detail. Moreover, a specific method of order 4 is found. The numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.
AUTHOR KEYWORDS: Linear Volterra integral equations system; Numerical method; Power series method INDEX KEYWORDS: Integral equations; Linear equations; Numerical methods; Polynomials, Linear Volterra integral equations system; Power series method, Linear systems
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