Generally, in real world multiple criteria decision making (MCDM) problems, we concern with inaccurate data. This paper transforms a fuzzy multiple criteria decision making (FMCDM) problem into two linear programming models based on simple additive weighting method (SAW). The new linear models calculate two scores for each alternative in optimistic and pessimistic viewpoints. To rank the alternatives, the numerical value of the arithmetic mean of good score and bad score is used as final score of each alternative. Finally, we illustrate the practical applications of the proposed method in selection an industrial zone for construct dairy products factory.
Keywords: Fuzzy multiple criteria decision making (FMCDM), simple additive weighted (SAW), fuzzy TOPSIS (FTOPSIS), linear programming (LP)
@article{RO_2021__55_1_83_0,
author = {Sadabadi, Seyed Ali and Hadi-Vencheh, Abdollah and Jamshidi, Ali and Jalali, Mohammad},
title = {A linear programming technique to solve fuzzy multiple criteria decision making problems with an application},
journal = {RAIRO. Operations Research},
pages = {83--97},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {1},
doi = {10.1051/ro/2020116},
mrnumber = {4223878},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2020116/}
}
TY - JOUR AU - Sadabadi, Seyed Ali AU - Hadi-Vencheh, Abdollah AU - Jamshidi, Ali AU - Jalali, Mohammad TI - A linear programming technique to solve fuzzy multiple criteria decision making problems with an application JO - RAIRO. Operations Research PY - 2021 SP - 83 EP - 97 VL - 55 IS - 1 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2020116/ DO - 10.1051/ro/2020116 LA - en ID - RO_2021__55_1_83_0 ER -
%0 Journal Article %A Sadabadi, Seyed Ali %A Hadi-Vencheh, Abdollah %A Jamshidi, Ali %A Jalali, Mohammad %T A linear programming technique to solve fuzzy multiple criteria decision making problems with an application %J RAIRO. Operations Research %D 2021 %P 83-97 %V 55 %N 1 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2020116/ %R 10.1051/ro/2020116 %G en %F RO_2021__55_1_83_0
Sadabadi, Seyed Ali; Hadi-Vencheh, Abdollah; Jamshidi, Ali; Jalali, Mohammad. A linear programming technique to solve fuzzy multiple criteria decision making problems with an application. RAIRO. Operations Research, Tome 55 (2021) no. 1, pp. 83-97. doi: 10.1051/ro/2020116
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