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

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA21-03085S" target="_blank" >GA21-03085S: Párové porovnání a data mining při podpoře rozhodovacích procesů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

8

Strana od-do

18-25

Název nakladatele

Silesian University in Opava, School of Business Administration in Karviná

Místo vydání

Karviná

Místo konání akce

Petrovice u Karviné

Datum konání akce

18. 5. 2021

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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