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@proceedings{52747,
author = {Bartl, David and Ramík, Jaroslav},
booktitle = {40th International Conference Mathematical Methods in Economics 2022: Book of Abstracts: College of Polytechnics Jihlava: 7 – 9 September 2020: Jihlava, Czech Republic},
keywords = {multi-criteria optimization; Analytic Hierarchy Process (AHP); pairwise comparison matrix; fuzzy elements; consistency; intensity; coherence; priority vector; alo-group},
language = {eng},
isbn = {978-80-88064-61-9},
title = {Indexes of Desirable Properties of a Pairwise Comparison Matrix with Fuzzy Elements},
url = {https://mme2022.vspj.cz/download/book-of-abstracts-3.pdf},
year = {2022}
}
TY - CONF
ID - 52747
AU - Bartl, David - Ramík, Jaroslav
PY - 2022
TI - Indexes of Desirable Properties of a Pairwise Comparison Matrix with Fuzzy Elements
SN - 9788088064619
KW - multi-criteria optimization
KW - Analytic Hierarchy Process (AHP)
KW - pairwise comparison matrix
KW - fuzzy elements
KW - consistency
KW - intensity
KW - coherence
KW - priority vector
KW - alo-group
UR - https://mme2022.vspj.cz/download/book-of-abstracts-3.pdf
N2 - 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.
ER -
BARTL, David and Jaroslav RAMÍK. Indexes of Desirable Properties of a Pairwise Comparison Matrix with Fuzzy Elements. In \textit{40th International Conference Mathematical Methods in Economics 2022: Book of Abstracts: College of Polytechnics Jihlava: 7 – 9 September 2020: Jihlava, Czech Republic}. 2022. ISBN~978-80-88064-61-9.
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