Fuzzy Partial Differential Equations and Relational Equations

1. Front Matter

   Pages I-XIV

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2. Soft Computing for Reservoir Characterization

   • Masoud Nikravesh, F. Aminzadeh

   Pages 1-79

3. An Approach to the Mathematical Theory of Perception-Based Information

   • Victor Korotkikh

   Pages 80-115

4. Fuzzy Neural Networks Based on Fuzzy Logic Algebras Valued Relations

   • Roberto Tagliaferri, Angelo Ciaramella, Antonio Di Nola, Radim Bělohlávek

   Pages 116-129

5. Simulating continuous dynamical systems under conditions of uncertainty: the probability and the possibility approaches

   • Gianluca Bontempi

   Pages 130-152

6. Resolution of Min-Max Fuzzy Relational Equations

   • Ketty Peeva

   Pages 153-166

7. Fuzzy Relation Equations with Words

   • Vilém Novák

   Pages 167-185

8. A Normative View on Possibility Distributions

   • Christer Carlsson, Robert Fullér, Péter Majlender

   Pages 186-205

9. FREs: the ODEs and PDEs of the Fuzzy Modelling Paradigm

   • Bernard De Baets

   Pages 206-224

10. Equations and Inequalities With BK-Products of Relations

    • L. J. Kohout

    Pages 225-250

11. Decomposition of Fuzzy Relations and Functional Relations

    • Elie Sanchez

    Pages 251-266

12. Introduction to Modeling of Hydrogeologic Systems Using Fuzzy Differential Equations

    • Boris A. Faybishenko

    Pages 267-284

13. Construction of Granular Derivatives and Solution of Granular Initial Value Problem

    • Ildar Batyrshin

    Pages 285-307

14. Numerical solutions of fuzzy partial differential equations and its applications in computational mechanics

    • Andrzej Pownuk

    Pages 308-347

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.

• Fuzzy
• Fuzzy Modelling
• Fuzzy Partial Differential Equations
• Perception-Based Information
• Relational Equations
• Reservoir Characterization
• construction
• differential equation
• dynamische Systeme
• mechanics
• modeling
• partial differential equation
• partial differential equations

• Dept. Electrical Engineering and Computer Science — EECS, University of California, Berkeley, USA

  Masoud Nikravesh, Lotfi A. Zadeh

• Faculty of Informatic/Communication, Central Queensland University, Mackeay, Australia

  Victor Korotkikh

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