Fuzzy Partial Differential Equations and Relational Equations
General Material Designation
[Book]
Other Title Information
Reservoir Characterization and Modeling /
First Statement of Responsibility
edited by Masoud Nikravesh, Lotfi A. Zadeh, Victor Korotkikh.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2004.
SERIES
Series Title
Studies in Fuzziness and Soft Computing,
Volume Designation
142
ISSN of Series
1434-9922 ;
CONTENTS NOTE
Text of Note
Foreword -- Preface -- 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 -- 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 Modeling Paradigm -- Equations and Inequalitites with BK-Products of Relations -- Decompostition of Fuzzy Relations and Functional Relations -- Introduction 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 Equation and its Application in Computational Mechanics.
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SUMMARY OR ABSTRACT
Text of Note
This monograph presents the latest advances of fuzzy logic and soft computing in reservoir characterization and modeling. It proposes for the first time that future develoments require perception-based information processing. The book presents important steps in this direction by introducing fuzzy partial differential equations and relational equations. It provides a unique opportunity for soft computing researchers and oil industry practitioners to understand the significance of the changes in the fields by presenting recent accomplishments and new directions.