RAMÍK, Jaroslav. Pairwise Comparisons Method - Theory and Applications in Decision Making. Cham, Switzerland: Springer Nature, 2020, 252 pp. Lecture Notes in Economics and Mathematical Systems 690. ISBN 978-3-030-39890-3. Available from: https://dx.doi.org/10.1007/978-3-030-39891-0.
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Basic information
Original name Pairwise Comparisons Method - Theory and Applications in Decision Making
Name in Czech Metoda párového porovnání - Teorie a aplikace v rozhodování
Authors RAMÍK, Jaroslav (203 Czech Republic, guarantor, belonging to the institution).
Edition Cham, Switzerland, 252 pp. Lecture Notes in Economics and Mathematical Systems 690, 2020.
Publisher Springer Nature
Other information
Original language English
Type of outcome Book on a specialized topic
Field of Study 10102 Applied mathematics
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
Publication form printed version "print"
RIV identification code RIV/47813059:19520/20:A0000120
Organization unit School of Business Administration in Karvina
ISBN 978-3-030-39890-3
Doi http://dx.doi.org/10.1007/978-3-030-39891-0
Keywords (in Czech) rozhodovací analýza ; matice párových porovnání ; fuzzy prvky ; náhodné prvky ; alo-gtrupy ; konzistence ; prioritní vektor
Keywords in English decision analysis ; pairwise comparisons matrix ; fuzzy elements ; random value elements ; alo-group ; consistency ; priority vector
Tags International impact, Reviewed
Links GA18-01246S, research and development project.
Changed by Changed by: prof. RNDr. Jaroslav Ramík, CSc., učo 48844. Changed: 23/1/2021 16:30.
Abstract
In various fields of evaluation, selection, and prioritization processes decision makers try to find the best alternative(s) from a feasible set of alternatives. In many cases, the comparison of different alternatives according to their desirability in decision problems cannot be done using only a single criterion or one decision maker. Here, procedures have been established to combine opinions about alternatives related to different points of view. These procedures are often based on pairwise comparisons, in the sense that processes are linked to some degree of preference for one alternative over another. The presented monograph consists of two parts: in the first part, theoretical aspects of pairwise comparisons are investigated from various point of views. The pairwise comparisons matrix, a fundamental tool for further investigation, is firstly viewed as a deterministic matrix with given elements. Then, in the following three chapters, it is investigated under uncertainty, either as a matrix with vague elements (fuzzy and/or intuitionistic fuzzy ones), and also as random elements. In the second part, theoretical results are applied in the three most popular multicriteria decision making methods: the Analytic Hierarchy Process (AHP), PROMETHEE and TOPSIS. In these methods pairwise comparisons play a leading role with a decisive impact. From this point of view, all well known methods are reconsidered in new and broader perspectives.
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