Fuzzy Mathematics Approximation Theory Pdf

Fuzzy Mathematics: Approximation Theory

Author: George A. Anastassiou

Publisher: Springer Science & Business Media

ISBN: 9783642112195

Category: Computers

Page: 444

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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 Real Analysis is given. The author covers Fuzzy Differentiation and Integration Theory followed by Fuzzy Ostrowski inequalities. Then results on classical algebraic and trigonometric polynomial Fuzzy Approximation are presented. The author develops a complete theory of convergence with rates of Fuzzy Positive linear operators to Fuzzy unit operator, the so-called Fuzzy Korovkin Theory. The related Fuzzy Global Smoothness is included. Then follows the study of Fuzzy Wavelet type operators and their convergence with rates to Fuzzy unit operator. Similarly the Fuzzy Neural Network Operators are discussed followed by Fuzzy Random Korovkin approximation theory and Fuzzy Random Neural Network approximations. The author continues with Fuzzy Korovkin approximations in the sense of Summability. Finally fuzzy sense differences of Fuzzy Wavelet type operators are estimated. The monograph's approach is quantitative and the main results are given via Fuzzy inequalities, involving Fuzzy moduli of continuity, that is Fuzzy Jackson type inequalities. The exposed theory is destined and expected to find applications to all aspects of Fuzziness from theoretical to practical in almost all sciences, technology, finance and industry. Also it has its interest within Pure Mathematics. So this monograph is suitable for researchers, graduate students and seminars of theoretical and applied mathematics, computer science, statistics and engineering.

Fuzzy Mathematics: Approximation Theory

Authors: George A. Anastassiou

Categories: Computers

Type: BOOK - Published: 2010-01-15 - Publisher: Springer Science & Business Media

Fuzzy Mathematics: Approximation Theory

Authors: George A. Anastassiou

Categories: Technology & Engineering

Type: BOOK - Published: 2010-03-17 - Publisher: Springer

This monograph is the r st in Fuzzy Approximation Theory. It contains mostly the author s research work on fuzziness of the last ten years and relies a lot on [10]-[32] and it is a natural outgrowth of them. It belongs to the broader area of Fuzzy Mathematics. Chapters are

Towards Intelligent Modeling: Statistical Approximation Theory

Authors: George A. Anastassiou, Oktay Duman

Categories: Technology & Engineering

Type: BOOK - Published: 2011-04-06 - Publisher: Springer Science & Business Media

The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on. In this monograph we

Intelligent Systems II: Complete Approximation by Neural Network Operators

Authors: George A. Anastassiou

Categories: Technology & Engineering

Type: BOOK - Published: 2015-06-23 - Publisher: Springer

This monograph is the continuation and completion of the monograph, "Intelligent Systems: Approximation by Artificial Neural Networks" written by the same author and published 2011 by Springer. The book you hold in hand presents the complete recent and original work of the author in approximation by neural networks. Chapters are

A Modern Introduction to Fuzzy Mathematics

Authors: Apostolos Syropoulos, Theophanes Grammenos

Categories: Technology & Engineering

Type: BOOK - Published: 2020-07-01 - Publisher: John Wiley & Sons

Provides readers with the foundations of fuzzy mathematics as well as more advanced topics A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. The authors take the