Fuzzy Choice Functions

A Revealed Preference Approach

  • Irina¬†Georgescu

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 214)

Table of contents

  1. Front Matter
    Pages I-IX
  2. Irina Georgescu
    Pages 1-8
  3. Irina Georgescu
    Pages 9-23
  4. Irina Georgescu
    Pages 25-47
  5. Irina Georgescu
    Pages 49-74
  6. Irina Georgescu
    Pages 75-106
  7. Irina Georgescu
    Pages 145-167
  8. Irina Georgescu
    Pages 169-187
  9. Irina Georgescu
    Pages 233-263
  10. Irina Georgescu
    Pages 265-270
  11. Back Matter
    Pages 271-282

About this book


The foundations of revealed preference theory for a competitive consumer were laid by Samuelson in 1938. Later this theory was axiomatically developed by Arrow, Sen, Suzumura and other economists into the theory of choice functions.

This book extends the theory of revealed preference to fuzzy choice functions and provides applications to multicriteria decision making problems. The main topics of revealed preference theory (rationality, revealed preference and congruence axioms, consistency conditions) are treated in the framework of fuzzy choice functions. New topics, such as the degree of dominance and similarity of vague choices, are developed. The results obtained are applied to economic problems where partial information and human subjectivity involve vague choices and vague preferences. The book contains a number of new results achieved by the author. Even though the text is reasonably self-contained, previous knowledge of revealed preference and fuzzy set theory is helpful for the reader.

Social choice theorists and computer scientists will find in this monograph stimulating material for further research and concrete applications.


Choice Functions fuzzy fuzzy set knowledge linear optimization set theory

Authors and affiliations

  • Irina¬†Georgescu
    • 1
  1. 1.BucharestRomania

Bibliographic information

  • DOI
  • Copyright Information Springer 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-540-68997-3
  • Online ISBN 978-3-540-68998-0
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site
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