Pairwise Comparisons Method: Theory and Applications in Decision Making
- 3h 21m
- Jaroslav Ramík
- Springer
- 2020
This book examines relationships between pairwise comparisons matrices. It first provides an overview of the latest theories of pairwise comparisons in decision making, discussing the pairwise comparison matrix, a fundamental tool for further investigation, as a deterministic matrix with given elements. Subsequent chapters then investigate these matrices under uncertainty, as a matrix with vague elements (fuzzy and/or intuitionistic fuzzy ones), and also as random elements. The second part of the book describes the application of the theoretical results in the three most popular multicriteria decision-making methods: the Analytic Hierarchy Process (AHP), PROMETHEE and TOPSIS. This book appeals to scholars in areas such as decision theory, operations research, optimization theory, algebra, interval analysis and fuzzy sets.
About the Author
Prof. Jaroslav Ramik, Ph.D., is a Professor of Mathematics, Statistics and Operations Research at the Silesian University Opava’s School of Business Administration in Karvina, Czech Republic. His professional interests include optimization methods in economics and decision making. Prof. Ramik has authored 6 scientific books (in English) and more than 70 research papers listed in WoS.
In this Book
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Introduction
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Preliminaries
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Pairwise Comparison Matrices in Decision-Making
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Pairwise Comparisons Matrices on Alo-Groups in Decision-Making
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Pairwise Comparisons Matrices with Fuzzy and Intuitionistic Fuzzy Elements in Decision-Making
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Stochastic Approaches to Pairwise Comparisons Matrices in Decision-Making
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Applications in Decision-Making—Analytic Hierarchy Process—AHP Revisited
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Applications in Practical Decision-Making Methods—PROMETHEE and TOPSIS
