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FUZZY RELATIONAL CALCULUS
FUZZY RELATIONAL CALCULUS
Theory, Applications and Software

by Ketty Peeva & Yordan Kyosev (Technical University of Sofia, Bulgaria)

This book examines fuzzy relational calculus theory with applications in various engineering subjects. The scope of the text covers unified and exact methods with algorithms for direct and inverse problem resolution in fuzzy relational calculus. Extensive engineering applications of fuzzy relation compositions and fuzzy linear systems (linear, relational and intuitionistic) are discussed. Some examples of such applications include solutions of equivalence, reduction and minimization problems in fuzzy machines, pattern recognition in fuzzy languages, optimization and inference engines in textile and chemical engineering, etc. A comprehensive overview of the authors� original work in fuzzy relational calculus is also provided in each chapter.

The attached CD-Rom contains a toolbox with many functions for fuzzy calculations, together with an original algorithm for inverse problem resolution in MATLAB. This book is also suitable for use as a textbook in related courses at advanced undergraduate and graduate levels.

Contents:

  • Fuzzy Relations. Direct Problem Resolution
  • Fuzzy Relation Equations
  • Fuzzy Relational Inclusions
  • Fuzzy Linear Systems — Dual Approach
  • Direct and Inverse Problems in Intuitionistic Fuzzy Relational Calculus
  • LFuzzy Finite Machines
  • Fuzzy Languages in Syntactic Pattern Recognition
  • Applications as Inference Engine
  • Software Description

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Readership: Academics and researchers in theoretical and applied mathematics; programmers and engineers.

 
304pp
Pub. date: Jan 2005
eISBN 978-981-270-133-6
US$94
 
 
 

Copyright ©2007 World Scientific Publishing Co. All rights reserved.