Overview
- 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)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
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
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