Indexes of Desirable Properties of a Pairwise Comparison Matrix with Fuzzy Elements

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F22%3AA0000284" target="_blank" >RIV/47813059:19520/22:A0000284 - isvavai.cz</a>
Result on the web
<a href="https://www.researchgate.net/publication/365444002_Indexes_of_Desirable_Properties_of_a_Pairwise_Comparison_Matrix_with_Fuzzy_Elements" target="_blank" >https://www.researchgate.net/publication/365444002_Indexes_of_Desirable_Properties_of_a_Pairwise_Comparison_Matrix_with_Fuzzy_Elements</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Indexes of Desirable Properties of a Pairwise Comparison Matrix with Fuzzy Elements
Original language description
In the Analytic Hierarchy Process (AHP), pairwise comparisons are used to quantify the relative importance of the elements, i.e. the criteria and/or alternatives. Fuzzy elements are appropriate whenever the decision maker is uncertain about the value of his/her evaluation of the relative importance of the elements in question. In this paper, we deal with the general case when the elements of the pairwise comparison matrix are fuzzy subsets of an Abelian linearly ordered group (alo-group). We then propose some desirable properties – consistency, intensity, and coherence – of the fuzzy pairwise comparison matrix and we also propose indexes to measure these desirable properties. Based on these indexes, a new solution algorithm to find the priority vector satisfying these desirable properties can be formulated.
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
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
40th International Conference Mathematical Methods in Economics 2022: Proceedings: College of Polytechnics Jihlava: 7 – 9 September 2020: Jihlava, Czech Republic
ISBN
9788088064626
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
1-7
Publisher name
College of Polytechnics Jihlava, Tolstého 1556/16, Jihlava, Czech Republic
Place of publication
Jihlava
Event location
Jihlava
Event date
Sep 7, 2022
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000936355000001

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