Pairwise Comparison Matrices and their Fuzzy Extension
Multi-criteria Decision Making with a New Fuzzy Approach
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
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
Autor*in
Jana Krejčí
Themen in »Pairwise Comparison Matrices and their Fuzzy Extension«
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