Jaroslav Ramík Ramík Pairwise Comparisons Method

Pairwise Comparisons Method

von Jaroslav Ramík

Theory and Applications in Decision Making

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Beschreibung

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.

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

Autor*in

Jaroslav Ramík

Themen in »Pairwise Comparisons Method«

Decision making under uncertainty Multicriteria methods in evaluation and decision making Pairwise comparisons matrix Excel add-in software solver Probabilistic, fuzzy and interval uncertainty FuzzyDAME

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Details

ISBN: 9783030398903
Verlag: Springer International Publishing
Erscheinung: 25.02.2020

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