Fuzzy Partial Differential Equations and Relational Equations : Reservoir Characterization and Modeling (Studies in Fuzziness and Soft Computing Vol.142) (2004. XIV, 347 p. w. figs. 24 cm)

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Fuzzy Partial Differential Equations and Relational Equations : Reservoir Characterization and Modeling (Studies in Fuzziness and Soft Computing Vol.142) (2004. XIV, 347 p. w. figs. 24 cm)

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  • 製本 Hardcover:ハードカバー版/ページ数 347 p.
  • 商品コード 9783540203223

基本説明

Unique opportunity for soft computing researchers and oil industry practitioners to understand the significance of fuzzy partial differential equations and relational equations for their fields.

Description


(Text)
During last decade significant progress has been made in the oil indus try by using soft computing technology. Underlying this evolving technology there have, been ideas transforming the very language we use to describe problems with imprecision, uncertainty and partial truth. These developments offer exciting opportunities, but at the same time it is becoming clearer that further advancements are confronted by funda mental problems. The whole idea of how human process information lies at the core of the challenge. There are already new ways of thinking about the problems within theory of perception-based information. This theory aims to understand and harness the laws of human perceptions to dramatically im prove the processing of information. A matured theory of perception-based information is likely to be proper positioned to contribute to the solution of the problems and provide all the ingredients for a revolution in science, technology and business. In this context, Berkeley Initiative in Soft Computing (BISC), Univer sity of California, Berkeley from one side and Chevron-Texaco from another formed a Technical Committee to organize a Meeting entitled "State of the Art Assessment and New Directions for Research" to understand the signifi cance of the fields accomplishments, new developments and future directions. The Technical Committee selected and invited 15 scientists (and oil indus try experts as technical committee members) from the related disciplines to participate in the Meeting, which took place at the University of California, Berkeley, and March 15-17, 2002.
(Table of content)
Soft Computing for Reservoir Characterization.- An Approach to the Mathematical Theory of Perception-Based Information.- Fuzzy Neural Networks Based on Fuzzy Logic Algebras Valued Relations.- Simulating Continuous Dynamical Systems under Conditions of Uncertainty: the Probability and the Possibility Approaches.- Resolution of Min-Max Fuzzy Relational Equations.- Fuzzy Relation Equations with Words.- A Normative View on Possibility Distributions.- FREs: the ODEs and PDEs of the Fuzzy Modelling Paradigm.- Equations and Inequalities with BK-Products of Relations.- Decomposition of Fuzzy Relations and Functional Relations.- to Modeling of Hydrogeologic Systems Using Fuzzy Differential Equations.- Construction of Granular Derivatives and Solution of Granular Initial Value Problem.- Numerical Solutions of Fuzzy Partial Differential Equations and Its Applications in Computational Mechanics.
(Review)
Aus den Rezensionen:

"Mit den vier Teilen ... soll das Wissen der chemischen Verfahrenstechnik sowohl den versierten und an den Zusammenhängen interessierten Lesern ... in umfassender und zusammenhängender Form dargestellt werden. ... Es liegt mit diesem Handbuch eine erstaunliche Sammlung von Begriffen, Fakten ... und elementaren Berechnungsgleichungen ... Den genannten Buchteilen sind praxisnahe Berechnungsbeispiele sowie Fragen und Antworten zugeordnet, die Nutzungsmöglichkeiten der Darstellungen verdeutlichen. ... Das Buch ist ... zum Nachschlagen für schnelle Antworten zu praxisüblichen Vorgehensweisen in der chemischen Industrie geeignet ..."

(E. Heidenreich, Gifhorn, in: Mühle + Mischfutter, 2006, 143, S. 691)


Table of Contents

Soft Computing for Reservoir Characterization      1  (79)
M. Nikravesh and F. Aminzadeh
An Approach to the Mathematical Theory of 80 (36)
Perception-Based Information
V. Korotkikh
Fuzzy Neural Networks Based on Fuzzy Logic 116(14)
Algebras Valued Relations
R. Tagliaferri, A. Ciaramella, A. Di Nola and
R. Belohlavek
Simulating Continuous Dynamical Systems under 130(23)
Conditions of Uncertainty: the Probability and
the Possibility Approaches
G. Bontempi
Resolution of Min-Max Fuzzy Relational Equations 153(14)
K. Peeva
Fuzzy Relation Equations with Words 167(19)
V. Novak
A Normative View on Possibility Distributions 186(20)
C. Carlsson, R. Fuller and P. Majlender
FREs: the ODES and PDEs of the Fuzzy Modelling 206(19)
Paradigm
B. De Baets
Equations and Inequalities with BK-Products of 225(26)
Relations
L.J. Kohout
Decomposition of Fuzzy Relations and Functional 251(16)
Relations
E. Sanchez
Introduction to Modeling of Hydrogeologic 267(18)
Systems Using Fuzzy Differential Equations
B.A. Faybishenko
Construction of Granular Derivatives and 285(23)
Solution of Granular Initial Value Problem
I. Batyrshin
Numerical Solutions of Fuzzy Partial D 308
fferential Equations and Its Applications in
Computational Mechanics
A. Pownuk