Fuzzy Partial Differential Equations and Relational Equations Reservoir Characterization and Modeling /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Nikravesh, Masoud (Editor, http://id.loc.gov/vocabulary/relators/edt), Zadeh, Lofti A. (Editor, http://id.loc.gov/vocabulary/relators/edt), Korotkikh, Victor (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Studies in Fuzziness and Soft Computing, 142
• Subjects: Applied mathematics.; Engineering mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Partial differential equations.; Computer mathematics.; Mathematical and Computational Engineering.; Applications of Mathematics.; Analysis.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.; Computational Mathematics and Numerical Analysis.

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...

Table of Contents:

• 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.