Skip to main content
  • Book
  • © 2013

Advanced Concepts in Fuzzy Logic and Systems with Membership Uncertainty

  • Original research on type-2 fuzzy set theory
  • The book generalizes fuzzy logic systems for different types of uncertainty and sets new trends in handling of uncertainty with as simple as possible formulations of proposed type-2 and rough-fuzzy methods
  • Written by a leading expert in the field

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 284)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (6 chapters)

  1. Front Matter

    Pages 1-10
  2. Uncertainty in Fuzzy Sets

    • Janusz T. Starczewski
    Pages 1-31
  3. Algebraic Operations on Fuzzy Valued Fuzzy Sets

    • Janusz T. Starczewski
    Pages 33-76
  4. Defuzzification of Uncertain Fuzzy Sets

    • Janusz T. Starczewski
    Pages 77-135
  5. Generalized Uncertain Fuzzy Logic Systems

    • Janusz T. Starczewski
    Pages 137-179
  6. Uncertainty Generation in Uncertain Fuzzy Logic Systems

    • Janusz T. Starczewski
    Pages 181-277
  7. Designing Uncertain Fuzzy Logic Systems

    • Janusz T. Starczewski
    Pages 279-304
  8. Back Matter

    Pages 0--1

About this book

This book generalizes fuzzy logic systems for different types of uncertainty, including

- semantic ambiguity resulting from limited perception or lack of knowledge about exact membership functions

- lack of attributes or granularity arising from discretization of real data

- imprecise description of membership functions

- vagueness perceived as fuzzification of conditional attributes.

Consequently, the membership uncertainty can be modeled by combining methods of conventional and type-2 fuzzy logic, rough set theory and possibility theory.

          

In particular, this book provides a number of formulae for implementing the operation extended on fuzzy-valued fuzzy sets and presents some basic structures of generalized uncertain fuzzy logic systems, as well as introduces several of methods to generate fuzzy membership uncertainty. It is desirable as a reference book for under-graduates in higher education, master and doctor graduates in the courses of computer science, computational intelligence, or fuzzy control and classification, and is especially dedicated to researchers and practitioners in industry.

 

Reviews

From the reviews:

“This monograph brings an overview of the theory of type-2 fuzzy set theory, reasoning using rough approximations of fuzzy sets and constructions of fuzzy logic systems … . The book brings a sound mathematical background to treat a serious processing of uncertainty, respecting the properties of fuzzy sets important for engineering applications and for their sound uncertain extensions. … can be recommended for any reader interested in fuzzy set theory but especially for researchers working with uncertain information, including PhD students.” (Radko Mesiar, Zentralblatt MATH, Vol. 1254, 2013)

Authors and Affiliations

  • , Department of Computer Engineering, Czestochowa University of Technology, Czestochowa, Poland

    Janusz T. Starczewski

Bibliographic Information

  • Book Title: Advanced Concepts in Fuzzy Logic and Systems with Membership Uncertainty

  • Authors: Janusz T. Starczewski

  • Series Title: Studies in Fuzziness and Soft Computing

  • DOI: https://doi.org/10.1007/978-3-642-29520-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2013

  • Hardcover ISBN: 978-3-642-29519-5Published: 27 August 2012

  • Softcover ISBN: 978-3-642-44852-2Published: 20 September 2014

  • eBook ISBN: 978-3-642-29520-1Published: 27 August 2012

  • Series ISSN: 1434-9922

  • Series E-ISSN: 1860-0808

  • Edition Number: 1

  • Number of Pages: XII, 308

  • Topics: Computational Intelligence, Simulation and Modeling, Engineering Design

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access