Fuzzy Mathematics: Approximation Theory

• Κύριος συγγραφέας: Anastassiou, George A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Studies in Fuzziness and Soft Computing, 251
• Θέματα: Engineering.; Artificial intelligence.; Probabilities.; Computational intelligence.; Computational Intelligence.; Artificial Intelligence (incl. Robotics).; Probability Theory and Stochastic Processes.

This monograph belongs to the broader area of Fuzzy Mathematics and it is the first one in Fuzzy Approximation Theory. The chapters are self-contained with lots of applications to teach several advanced courses and the topics covered are very diverse. An extensive background of Fuzziness and Fuzzy R...

Πίνακας περιεχομένων:

• ABOUT H-FUZZY DIFFERENTIATION
• ON FUZZY TAYLOR FORMULAE
• FUZZY OSTROWSKI INEQUALITIES
• A FUZZY TRIGONOMETRIC APPROXIMATION THEOREM OF WEIERSTRASS-TYPE
• ON BEST APPROXIMATION AND JACKSON-TYPE ESTIMATES BY GENERALIZED FUZZY POLYNOMIALS
• BASIC FUZZY KOROVKIN THEORY
• FUZZY TRIGONOMETRIC KOROVKIN THEORY
• FUZZY GLOBAL SMOOTHNESS PRESERVATION
• FUZZY KOROVKIN THEORY AND INEQUALITIES
• HIGHER ORDER FUZZY KOROVKIN THEORY USING INEQUALITIES
• FUZZY WAVELET LIKE OPERATORS
• ESTIMATES TO DISTANCES BETWEEN FUZZY WAVELET LIKE OPERATORS
• FUZZY APPROXIMATION BY FUZZY CONVOLUTION OPERATORS
• DEGREE OF APPROXIMATION OF FUZZY NEURAL NETWORK OPERATORS, UNIVARIATE CASE
• HIGHER DEGREE OF FUZZY APPROXIMATION BY FUZZY WAVELET TYPE AND NEURAL NETWORK OPERATORS
• FUZZY RANDOM KOROVKIN THEOREMS AND INEQUALITIES
• FUZZY-RANDOM NEURAL NETWORK APPROXIMATION OPERATORS, UNIVARIATE CASE
• -SUMMABILITY AND FUZZY KOROVKIN APPROXIMATION
• -SUMMABILITY AND FUZZY TRIGONOMETRIC KOROVKIN APPROXIMATION
• UNIFORM REAL AND FUZZY ESTIMATES FOR DISTANCES BETWEEN WAVELET TYPE OPERATORS AT REAL AND FUZZY ENVIRONMENT.