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@inproceedings{52748, author = {Bartl, David and Ramík, Jaroslav}, address = {Jihlava}, booktitle = {40th International Conference Mathematical Methods in Economics 2022: Proceedings: 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}, howpublished = {elektronická verze "online"}, language = {eng}, location = {Jihlava}, isbn = {978-80-88064-62-6}, pages = {1-7}, publisher = {College of Polytechnics Jihlava, Tolstého 1556/16, Jihlava, Czech Republic}, title = {Indexes of Desirable Properties of a Pairwise Comparison Matrix with Fuzzy Elements}, url = {https://www.researchgate.net/publication/365444002_Indexes_of_Desirable_Properties_of_a_Pairwise_Comparison_Matrix_with_Fuzzy_Elements}, year = {2022} }
TY - JOUR ID - 52748 AU - Bartl, David - Ramík, Jaroslav PY - 2022 TI - Indexes of Desirable Properties of a Pairwise Comparison Matrix with Fuzzy Elements PB - College of Polytechnics Jihlava, Tolstého 1556/16, Jihlava, Czech Republic CY - Jihlava SN - 9788088064626 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://www.researchgate.net/publication/365444002_Indexes_of_Desirable_Properties_of_a_Pairwise_Comparison_Matrix_with_Fuzzy_Elements 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. Online. In \textit{40th International Conference Mathematical Methods in Economics 2022: Proceedings: College of Polytechnics Jihlava: 7 – 9 September 2020: Jihlava, Czech Republic}. Jihlava: College of Polytechnics Jihlava, Tolstého 1556/16, Jihlava, Czech Republic, 2022, p.~1-7. ISBN~978-80-88064-62-6.
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