Intelligent Counting Under Information Imprecision

Applications to Intelligent Systems and Decision Support

  • Maciej Wygralak

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 292)

Table of contents

  1. Front Matter
    Pages 1-10
  2. Maciej Wygralak
    Pages 1-16
  3. Elements of Fuzzy Sets and Their Extensions

  4. Methods of Intelligent Counting under Information Imprecision

    1. Front Matter
      Pages 161-161
    2. Maciej Wygralak
      Pages 163-165
    3. Maciej Wygralak
      Pages 167-186
    4. Maciej Wygralak
      Pages 187-229
    5. Maciej Wygralak
      Pages 231-260
    6. Maciej Wygralak
      Pages 261-270
  5. Back Matter
    Pages 271-290

About this book


Counting belongs to the most elementary and frequent mental activities of human beings. Its results are a basis for coming to a decision in a lot of situations and dimensions of our life. This book presents a novel approach to the advanced and sophisticated case, called intelligent counting, in which the objects of counting are imprecisely, fuzzily specified.

Formally, this collapses to counting in fuzzy sets, interval-valued fuzzy sets or I-fuzzy sets (Atanassov's intuitionistic fuzzy sets).


The monograph is the first one showing and emphasizing that the presented methods of intelligent counting are human-consistent: are reflections and formalizations of real, human counting procedures performed under imprecision and, possibly, incompleteness of information. Other applications of intelligent counting in various areas of intelligent systems and decision support will be discussed, too.


The whole presentation is self-contained, systematic, and equipped with many examples, figures and tables. Computer and information scientists, researchers, engineers and practitioners, applied mathematicians, and postgraduate students interested in information imprecision are the target readers.


Decision Making Fuzzy Logic Information Imprecision Information Incompleteness Intelligent Counting Intelligent Systems Intuitionistic Fuzzy Sets

Authors and affiliations

  • Maciej Wygralak
    • 1
  1. 1.Faculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznańPoland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-34684-2
  • Online ISBN 978-3-642-34685-9
  • Series Print ISSN 1434-9922
  • Series Online ISSN 1860-0808
  • Buy this book on publisher's site