Main Article Content
Abstract
The m-Polar fuzzy set is a set that not only overcomes data ambiguity, but can also handle multi-polar, multi-attribute, and multi-criteria information. The m-Polar fuzzy set is useful in describing uncertainty in multi-attribute decision-making. One of the techniques used in decision-making is the ELECTRE I method. The ELECTRE I method plays a role in conducting pairwise comparisons between alternatives given by the decision-maker, where alternatives, criteria, and weights are given by the decision-maker. Furthermore, the ranking results from the ELECTRE I method will be compared with the mF Dombi Weighted Averaging (m-FDWA) aggregation operator with the help of the arithmetic operator. The purpose of this study was to compare the ranking results of the mF ELECTRE I, and the normalized and non-normalized m-FDWA arithmatic methods. The data used is secondary data related to site selection for global manufacturing with 20 alternative countries (country) and 8 criteria. The results showed that the best alternative to the normalized mF ELECTRE I and m-FDWA methods was country 14. While the m-FDWA arithmetic method without normalization resulted in country 3 as the best alternative. The effectiveness test was applied to m-FDWA arithmetic method, both normalized and without normalization to test the validity of the model so that it can be seen that normalization does not affect the validity of the model.
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References
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- S. H. Kusumadewi, Fuzzy Multi-Attribute Decision Making (Fuzzy MADM), Yogyakarta: Graha Ilmu, 2006.
- R. Benayoun, B. Roy, and B. Sussmann, Manuel de réference du programme electre, Note synthèse, Form. n.25, Dir. Sci. SEMA, Paris, 1966.
- H. Dinçer, Ü. Hacıoğlu, and S. Yüksel, Managerial and Market-Based Appraisal of Agriculture Banking Using ANP and ELECTRE Method, Manag. Organ. Stud. 3(3) (2016), doi: 10.5430/mos.v3n3p29.
- B. Roy, The outranking approach and the foundations of electre methods, Theory Decis., 1991, doi: 10.1007/BF00134132.
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- M. Gökhan Yücel and A. Görener, Decision making for company acquisition by ELECTRE method, Int. J. Supply Chain Manag. 5(1) (2016) 75–83.
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- R. E. Bellman and L. A. Zadeh, Decision-Making in a Fuzzy Environment, Manage. Sci., 1970, doi: 10.1287/mnsc.17.4.b141.
- L. A. Zadeh, Fuzzy sets, Inf. Control, 1965, doi: 10.1016/S0019-9958(65)90241-X.
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- M. Akram, N. Yaqoob, G. Ali, and W. Chammam, Extensions of Dombi Aggregation Operators for Decision Making under m -Polar Fuzzy Information, 2020 (2020).
- X. He, Group decision making based on Dombi operators and its application to personnel evaluation, 2019, doi: 10.1002/int.22118.
- A. Hatami-Marbini, M. Tavana, M. Moradi, and F. Kangi, A fuzzy group Electre method for safety and health assessment in hazardous waste recycling facilities, Saf. Sci., 51(1) (2013) 414–426, doi: 10.1016/j.ssci.2012.08.015.
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References
Shumaiza, M. Akram, and A. N. Al-Kenani, Multiple-attribute decision making ELECTRE II method under bipolar fuzzy model, Algorithms 12(11) (2019) 1–24, doi: 10.3390/a12110226.
S. H. Kusumadewi, Fuzzy Multi-Attribute Decision Making (Fuzzy MADM), Yogyakarta: Graha Ilmu, 2006.
R. Benayoun, B. Roy, and B. Sussmann, Manuel de réference du programme electre, Note synthèse, Form. n.25, Dir. Sci. SEMA, Paris, 1966.
H. Dinçer, Ü. Hacıoğlu, and S. Yüksel, Managerial and Market-Based Appraisal of Agriculture Banking Using ANP and ELECTRE Method, Manag. Organ. Stud. 3(3) (2016), doi: 10.5430/mos.v3n3p29.
B. Roy, The outranking approach and the foundations of electre methods, Theory Decis., 1991, doi: 10.1007/BF00134132.
T. Romario, V. Gunawan, and J. Endro, Implementation of the ELECTRE Method for Determining the Location of Evacuation of Web-based Tsunami Disaster, Int. J. Comput. Appl. 180(52) (2018) 25–31, doi: 10.5120/ijca2018917362.
M. Gökhan Yücel and A. Görener, Decision making for company acquisition by ELECTRE method, Int. J. Supply Chain Manag. 5(1) (2016) 75–83.
M. Akram, H. Garg, and K. Zahid, Extensions of electre-i and topsis methods for group decision-making under complex pythagorean fuzzy environment, Iran. J. Fuzzy Syst. 17(5) (2020) 147–164, doi: 10.22111/ijfs.2020.5522.
X. Yu, S. Zhang, X. Liao, and X. Qi, ELECTRE methods in prioritized MCDM environment, Inf. Sci. (Ny)., 2018, doi: 10.1016/j.ins.2017.09.061.
R. Baki, “Personnel selection through Fuzzy ELECTRE I method, 2019.
R. E. Bellman and L. A. Zadeh, Decision-Making in a Fuzzy Environment, Manage. Sci., 1970, doi: 10.1287/mnsc.17.4.b141.
L. A. Zadeh, Fuzzy sets, Inf. Control, 1965, doi: 10.1016/S0019-9958(65)90241-X.
A. Adeel, M. Akram, I. Ahmed, and K. Nazar, Novel m-polar fuzzy linguistic ELECTRE-I method for group decision-making, Symmetry (Basel)., 11(4) (2019 1–26, doi: 10.3390/sym11040471.
R. M. Rodriguez, L. Martinez, and F. Herrera, Hesitant fuzzy linguistic term sets for decision making, IEEE Trans. Fuzzy Syst. 20(1) (2012) 109–119, doi: 10.1109/TFUZZ.2011.2170076.
W. R. Zhang and L. Zhang, YinYang bipolar logic and bipolar fuzzy logic, Inf. Sci. (Ny). 165(3-4) (2004) 265–287, 2004, doi: 10.1016/j.ins.2003.05.010.
J. Chen et al., m-Polar Fuzzy Sets An Extension of Bipolar Fuzzy Sets.pdf., 2014.
M. Lin, W. Xu, Z. Lin, and R. Chen, Determine OWA operator weights using kernel density estimation, Econ. Res. Istraz. 33(1) (2020) 1441–1464, doi: 10.1080/1331677X.2020.1748509.
C. Jana, M. Pal, and J. qiang Wang, Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process, J. Ambient Intell. Humaniz. Comput. 10(9) (2018) 3533–3549, doi: 10.1007/s12652-018-1076-9.
F. Hamacher and A. Operators, SS symmetry Fuzzy Hamacher Aggregation Operators, (2019) 1–33, doi: 10.3390/sym11121498.
M. Akram, N. Yaqoob, G. Ali, and W. Chammam, Extensions of Dombi Aggregation Operators for Decision Making under m -Polar Fuzzy Information, 2020 (2020).
X. He, Group decision making based on Dombi operators and its application to personnel evaluation, 2019, doi: 10.1002/int.22118.
A. Hatami-Marbini, M. Tavana, M. Moradi, and F. Kangi, A fuzzy group Electre method for safety and health assessment in hazardous waste recycling facilities, Saf. Sci., 51(1) (2013) 414–426, doi: 10.1016/j.ssci.2012.08.015.
M. Akram, N. Waseem, and P. Liu, Novel Approach in Decision Making with m–Polar Fuzzy ELECTRE-I, Int. J. Fuzzy Syst. 21(4) (2019) 1117–1129, doi: 10.1007/s40815-019-00608-y.
A. H. Kalantari, Facility Location Selection for Global Manufacturing, Univ. Wisconsin-Milwaukee, 81(19) (2013) 87.
X. Wang and E. Triantaphyllou, Ranking irregularities when evaluating alternatives by using some ELECTRE methods, Omega, 36(1) (2008) 45–63, doi: 10.1016/j.omega.2005.12.003.