An Algorithm to Compute a Joint Priority Vector of Pairwise Comparison Matrices with Fuzzy Elements in Group Decision Making

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F23%3AA0000364" target="_blank" >RIV/47813059:19520/23:A0000364 - isvavai.cz</a>
Result on the web
<a href="https://www.researchgate.net/publication/372056535_An_Algorithm_to_Compute_a_Joint_Priority_Vector_of_Pairwise_Comparison_Matrices_with_Fuzzy_Elements_in_Group_Decision_Making" target="_blank" >https://www.researchgate.net/publication/372056535_An_Algorithm_to_Compute_a_Joint_Priority_Vector_of_Pairwise_Comparison_Matrices_with_Fuzzy_Elements_in_Group_Decision_Making</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
An Algorithm to Compute a Joint Priority Vector of Pairwise Comparison Matrices with Fuzzy Elements in Group Decision Making
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GA21-03085S" target="_blank" >GA21-03085S: Supporting Decision Processes with Pairwise Comparisons and Data Mining</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
The 4th International Conference on Decision Making for Small and Medium-Sized Enterprises
ISBN
9788075105547
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
18-25
Publisher name
Silesian University in Opava, School of Business Administration in Karviná
Place of publication
Karviná
Event location
Petrovice u Karviné
Event date
May 18, 2021
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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