| Issue |
RAIRO-Oper. Res.
Volume 55, Number 1, January-February 2021
Decision and Optimization in Service, Control and Engineering (CoDIT2019-DOSCE)
|
|
|---|---|---|
| Page(s) | 83 - 97 | |
| DOI | https://doi.org/10.1051/ro/2020116 | |
| Published online | 03 March 2021 | |
A linear programming technique to solve fuzzy multiple criteria decision making problems with an application
1
Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran
* Corresponding author: ahadi@khuisf.ac.ir, abdh12345@yahoo.com
Received:
13
October
2019
Accepted:
11
October
2020
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.
Mathematics Subject Classification: 90C05 / 90C70
Key words: Fuzzy multiple criteria decision making (FMCDM) / simple additive weighted (SAW) / fuzzy TOPSIS (FTOPSIS) / linear programming (LP)
© EDP Sciences, ROADEF, SMAI 2021
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