Classic linear assignment method is a multi-criteria decision-making approach in which criteria are weighted and each rank is assigned to a choice. In this study, to abandon the requirement of calculating the weight of criteria and use decision attributes prioritizing and also to be able to assign a rank to more than one choice, a multi-objective linear programming (MOLP) method is suggested. The objective function of MOLP is defined for each attribute and MOLP is solved based on absolute priority and comprehensive criteria methods. For solving the linear programming problems we apply a recurrent neural network (RNN). Indeed, the Lyapunov stability of the proposed model is proved. Results of comparing the proposed method with TOPSIS, VICOR, and MORA methods which are the most common multi-criteria decision schemes show that the proposed approach is more compatible with these methods.
Keywords: Linear assignment method, multi-objective linear programming, multi-attribute decision-making, absolute prioritizing method, recurrent neural networks, stable in the sense of Lyapunov
@article{RO_2021__55_5_3107_0,
author = {Mirzazadeh, Zahra Sadat and Bani Hassan, Javad and Mansoori, Amin},
title = {Assignment model with multi-objective linear programming for allocating choice ranking using recurrent neural network},
journal = {RAIRO. Operations Research},
pages = {3107--3119},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {5},
doi = {10.1051/ro/2021151},
mrnumber = {4324780},
zbl = {1485.90126},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021151/}
}
TY - JOUR AU - Mirzazadeh, Zahra Sadat AU - Bani Hassan, Javad AU - Mansoori, Amin TI - Assignment model with multi-objective linear programming for allocating choice ranking using recurrent neural network JO - RAIRO. Operations Research PY - 2021 SP - 3107 EP - 3119 VL - 55 IS - 5 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021151/ DO - 10.1051/ro/2021151 LA - en ID - RO_2021__55_5_3107_0 ER -
%0 Journal Article %A Mirzazadeh, Zahra Sadat %A Bani Hassan, Javad %A Mansoori, Amin %T Assignment model with multi-objective linear programming for allocating choice ranking using recurrent neural network %J RAIRO. Operations Research %D 2021 %P 3107-3119 %V 55 %N 5 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021151/ %R 10.1051/ro/2021151 %G en %F RO_2021__55_5_3107_0
Mirzazadeh, Zahra Sadat; Bani Hassan, Javad; Mansoori, Amin. Assignment model with multi-objective linear programming for allocating choice ranking using recurrent neural network. RAIRO. Operations Research, Tome 55 (2021) no. 5, pp. 3107-3119. doi: 10.1051/ro/2021151
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