Overview
- Focuses on interval-valued fuzzy aggregations, and its importance for solving multi criteria decision making problems
- Describes fuzzy set based methods for dealing with incomplete knowledge
- Highlights the case of imprecise data represented as intervals
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 367)
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About this book
This book offers an introduction to fuzzy sets theory and their operations, with a special focus on aggregation and negation functions. Particular attention is given to interval-valued fuzzy sets and Atanassov’s intuitionistic fuzzy sets and their use in uncertainty models involving imperfect or unknown information. The theory and application of interval-values fuzzy sets to various decision making problems represent the central core of this book, which describes in detail aggregation operators and their use with imprecise data represented as intervals. Interval-valued fuzzy relations, compatibility measures of interval and the transitivity property are thoroughly covered. With its good balance between theoretical considerations and applications of originally developed algorithms to real-world problem, the book offers a timely, inspiring guide to mathematicians and engineers developing new decision making models or implementing/applying existing ones to a wide range of applications involving imprecise or incomplete data.
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Keywords
- Interval-Valued Fuzzy Aggregations
- Decision Making Using Preference
- Interval-Valued Fuzzy Relations
- Preservation of N-Reciprocity
- Applications of Aggregation Functions
- Compatibility Measures of Intervals
- Interval-Valued Ordered Weighted Averaging Operators
- Properties of Interval-Valued Fuzzy Relations
- Generalized Composition of Interval-Valued Fuzzy Relations
- Approximate Reasoning Using General Compositions
Table of contents (4 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Uncertainty Data in Interval-Valued Fuzzy Set Theory
Book Subtitle: Properties, Algorithms and Applications
Authors: Barbara Pękala
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-319-93910-0
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Hardcover ISBN: 978-3-319-93909-4Published: 12 July 2018
Softcover ISBN: 978-3-030-06743-4Published: 13 December 2018
eBook ISBN: 978-3-319-93910-0Published: 27 June 2018
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XIV, 181
Number of Illustrations: 12 b/w illustrations
Topics: Computational Intelligence, Operations Research, Management Science, Artificial Intelligence, Operations Research/Decision Theory