In most of real world problems, alternatives are evaluated according to a large set of criteria which confuses the Decision Maker (DM) in terms of allotting alternatives’ assessments. So, to reduce the complexity of the presented problem, it is recommended to organize the criteria into a hierarchy tree to decompose the main problem into sub-ones. Therefore, the DM gains detailed insight on each level of the hierarchy instead of focusing only on one level. In this context, we propose an extension of the Additive Ratio ASsessment (ARAS) method to the case of hierarchically structured criteria. The proposed approach is called Hierarchical Additive Ratio ASsessment (ARAS-H) method. A major advantage of the ARAS-H method is that it enables the DM to analyze the partial pre-orders (the rankings of the alternatives) at each node of the criteria tree i.e., according to each sub-criterion. The partial pre-orders present solutions of the problem with respect to each subset of criteria. In view of determining the criteria weights at each level of the hierarchy tree, we apply the AHP method. Finally, we apply the ARAS-H method on a case study related to tourism which aims to rank tourist destination websites brands in accordance with a four levels criteria hierarchy.
Keywords: Multiple Criteria Decision Aid, Multiple Criteria Hierarchy Process (MCHP), ARAS-H, AHP method, Hierarchy of criteria
@article{RO_2021__55_3_2035_0,
author = {Ghram, Maroua and Moalla Frikhahela, Hela},
title = {ARAS-H: {A} ranking-based decision aiding method for hierarchically structured criteria},
journal = {RAIRO. Operations Research},
pages = {2035--2054},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {3},
doi = {10.1051/ro/2021083},
mrnumber = {4279917},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021083/}
}
TY - JOUR AU - Ghram, Maroua AU - Moalla Frikhahela, Hela TI - ARAS-H: A ranking-based decision aiding method for hierarchically structured criteria JO - RAIRO. Operations Research PY - 2021 SP - 2035 EP - 2054 VL - 55 IS - 3 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021083/ DO - 10.1051/ro/2021083 LA - en ID - RO_2021__55_3_2035_0 ER -
%0 Journal Article %A Ghram, Maroua %A Moalla Frikhahela, Hela %T ARAS-H: A ranking-based decision aiding method for hierarchically structured criteria %J RAIRO. Operations Research %D 2021 %P 2035-2054 %V 55 %N 3 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021083/ %R 10.1051/ro/2021083 %G en %F RO_2021__55_3_2035_0
Ghram, Maroua; Moalla Frikhahela, Hela. ARAS-H: A ranking-based decision aiding method for hierarchically structured criteria. RAIRO. Operations Research, Tome 55 (2021) no. 3, pp. 2035-2054. doi: 10.1051/ro/2021083
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