A New Nucleolus-Like Method to Find the Priority Vector of a Pairwise Comparison Matrix

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F25%3AA0000552" target="_blank" >RIV/47813059:19520/25:A0000552 - isvavai.cz</a>
Result on the web
<a href="https://www.researchgate.net/publication/392732680_A_New_Nucleolus-Like_Method_To_Find_the_Priority_Vector_of_a_Pairwise_Comparison_Matrix" target="_blank" >https://www.researchgate.net/publication/392732680_A_New_Nucleolus-Like_Method_To_Find_the_Priority_Vector_of_a_Pairwise_Comparison_Matrix</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
A New Nucleolus-Like Method to Find the Priority Vector of a Pairwise Comparison Matrix
Original language description
Given n objects, such as variants from which the best one with respect to some criterion is to be selected or which are to be ranked from the best one to the worst one, a pairwise comparison matrix is obtained when the decision-maker considers various pairs of the objects and judges the objects in the pair relatively with respect to the criterion. In this paper, we follow the general unified framework by Cavallo and D’Apuzzo (2009) and assume that the relative importance of the objects is evaluated by using elements of a given divisible Abelian linearly ordered group (alo-group). To obtain the priority vector of the resulting pairwise comparison matrix, we get inspired by the notion of nucleolus (Schmeidler, 1969), which is a well-known solution concept of a cooperative game with transferable utility, and propose a new nucleolus-like method to find the priority vector of the given pairwise comparison matrix. The method utilizes the theory of linear programming in abstract spaces (Bartl, 2007).
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
The 5th International conference on Decision making for Small and Medium-Sized Enterprises
ISBN
9788075106100
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
13-20
Publisher name
Silesian University in Opava, School of Business Administration in Karviná
Place of publication
Karviná
Event location
Karviná
Event date
May 22, 2025
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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