Přehled o publikaci
2023
An Algorithm to Compute a Joint Priority Vector of Pairwise Comparison Matrices with Fuzzy Elements in Group Decision Making
BARTL, David and Jaroslav RAMÍKBasic information
Original name
An Algorithm to Compute a Joint Priority Vector of Pairwise Comparison Matrices with Fuzzy Elements in Group Decision Making
Authors
BARTL, David and Jaroslav RAMÍK
Edition
Karviná, The 4th International Conference on Decision Making for Small and Medium-Sized Enterprises, p. 18-25, 8 pp. 2023
Publisher
Silesian University in Opava, School of Business Administration in Karviná
Other information
Language
English
Type of outcome
Proceedings paper
Country of publisher
Czech Republic
Confidentiality degree
is not subject to a state or trade secret
Publication form
printed version "print"
Marked to be transferred to RIV
No
Organization
Obchodně podnikatelská fakulta v Karviné – Slezská univerzita v Opavě – Repository
ISBN
978-80-7510-554-7
Keywords in English
multi-criteria group decision making; fuzzy pairwise comparison matrix; joint priority vector; consistency; intensity; coherence; alo-group; Analytic Hierarchy Process (AHP)
Links
GA21-03085S, research and development project.
Changed: 3/12/2023 03:37, Bc. Ivana Glabazňová
Abstract
In the original language
We study the problem how to aggregate different opinions of m decision makers who evaluate n objects with respect to a criterion into a single opinion of the group. In particular, each of the m decision makers evaluates the n objects pairwise with respect to the given criterion. In order to unify various approaches, we assume that the decision makers use the elements of an Abelian linearly ordered group (alo-group) to assess the relative importance of the two items in each pair of the n objects. Moreover, a decision maker (DM) can use a fuzzy subset of the alo-group to assess the relative importance whenever the DM is uncertain about the exact value of the assessment. Thus, the task is to compute a joint priority vector of m given n×n reciprocal pairwise comparison matrices with fuzzy elements, i.e. fuzzy subsets of an alo-group. In this paper, we consider several desirable properties of the priority vector – consistency, intensity, and coherence – and we propose a new algorithm to compute priority vectors satisfying these desirable properties.
