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.

Provides an overview of the latest theories of pairwise comparisons in decision making Examines the pairwise comparisons methods under probabilistic, fuzzy and interval uncertainty Applies pairwise comparisons methods in decision-making methods

Autorentext

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.

Inhalt
Pairwise Comparisons Method - Theory.- Pairwise Comparisons Method - Applications in Decision Making.