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Algebraic Techniques and Their Use in Describing and Processing Uncertainty

To the Memory of Professor Elbert A. Walker

  • Hung T. Nguyen
  • Vladik Kreinovich
Book
  • 67 Downloads

Part of the Studies in Computational Intelligence book series (SCI, volume 878)

Table of contents

  1. Front Matter
    Pages i-viii
  2. G. Bezhanishvili, P. J. Morandi, B. Olberding
    Pages 1-19
  3. Ulrich Faigle, Michel Grabisch
    Pages 21-32
  4. John Harding, Carol Walker
    Pages 41-54
  5. Olga Kosheleva, Vladik Kreinovich, Thongchai Dumrongpokaphan
    Pages 55-64
  6. Vladik Kreinovich, Olga Kosheleva, Songsak Sriboonchitta
    Pages 65-75
  7. Adolf Mader, Otto Mutzbauer
    Pages 77-87
  8. Mirko Navara, Milan Petrík
    Pages 89-112
  9. Nadipuram R. Prasad
    Pages 123-128
  10. Anna Maria Radzikowska, Etienne E. Kerre
    Pages 129-149
  11. Fred Richman
    Pages 151-156
  12. Apostolos Syropoulos
    Pages 157-170

About this book

Introduction

This book discusses heuristic methods – methods lacking a solid theoretical justification – which are ubiquitous in numerous application areas, and explains techniques that can make heuristic methods more reliable. Focusing on algebraic techniques, i.e., those that use only a few specific features of a situation, it describes various state-of-the-art applications, ranging from fuzzy methods for dealing with imprecision to general optimization methods and quantum-based methods for analyzing economic phenomena. The book also includes recent results from leading researchers, which could (and hopefully will) provide the basis for future applications. As such, it is a valuable resource for mathematicians interested in potential applications of their algebraic results and ideas, as well as for application specialists wanting to discover how algebraic techniques can help in their domains.  

Keywords

Fuzzy Systems Fuzzy Techniques Algebraic Methods to Fuzzy techniques Uncertainty Elbert Walker

Editors and affiliations

  • Hung T. Nguyen
    • 1
  • Vladik Kreinovich
    • 2
  1. 1.Department of Mathematical SciencesNew Mexico State UniversityLas CrucesUSA
  2. 2.Department of Computer ScienceThe University of Texas at El PasoEl PasoUSA

Bibliographic information