Overview
- Provides a critical review of fuzzy pairwise comparison (PC) methods
- Describes new fuzzy PC methods and incomplete PC methods
- Self-contained book, including an introduction chapter on fuzzy set theory
- Rich in numerical examples
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 366)
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Table of contents (6 chapters)
Keywords
- Fuzzy Pairwise Comparison Matrices
- Crisp PCMs
- Multiplicative PCMs
- Additive PCMs
- Reciprocity of PCMs
- Invariance of PCMs
- Constrained Fuzzy Arithmetic
- Standard Fuzzy Arithmetic
- Two-Phase Pairwise Comparison Method
- Large-Dimensional Pairwise Comparison Problems
- Fuzzy Priorities of Objects
- Incomplete PCMs
- Multiplicative Fuzzy Priorities
- Weak Consistency
- Additive Transitivity
- Additive Reciprocity
- Triangular Fuzzy Numbers
About this book
This book offers the first comprehensive and critical literature review of fuzzy pairwise comparison methods derived from methods originally developed for crisp pairwise comparison matrices. It proposes new fuzzy extensions of these methods and provides a detailed study of the differences and analogies between all the reviewed methods, as well as a detailed description of their drawbacks, with the help of many numerical examples. In order to prevent the drawbacks related to the reviewed fuzzy pairwise comparison methods, the book introduces constrained fuzzy arithmetic in fuzzy extension of the pairwise comparison methods. It proposes new fuzzy pairwise comparison methods based on constrained fuzzy arithmetic and critically compares them with the reviewed methods. It describes the application of the newly developed methods to incomplete large-dimensional pairwise comparison matrices showcased in a real-life case study. Written for researchers, graduate and PhD students interested inmulti-criteria decision making methods based on both crisp and fuzzy pairwise comparison matrices, this self-contained book offers an overview of cutting-edge research and all necessary information to understand the described tools and use them in real-world applications.
Authors and Affiliations
Bibliographic Information
Book Title: Pairwise Comparison Matrices and their Fuzzy Extension
Book Subtitle: Multi-criteria Decision Making with a New Fuzzy Approach
Authors: Jana Krejčí
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-319-77715-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-77714-6Published: 10 April 2018
Softcover ISBN: 978-3-030-08519-3Published: 08 February 2019
eBook ISBN: 978-3-319-77715-3Published: 16 March 2018
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XVIII, 273
Topics: Computational Intelligence, Operations Research, Management Science, Artificial Intelligence, Operations Research/Decision Theory