WEBIRA - Comparative Analysis of Weight Balancing Method
Keywords:
WEBIRA, SAW, EMDCW, multi-attribute decision making (MADM), entropy, KEMIRAAbstract
The attributes weight establishing problem is one of the most important MCDM tasks. This study summarizes weight determining approach which is called WEBIRA (WEight Balancing Indicator Ranks Accordance). This method requires to solve complicated optimization problem and its application is possible by carrying out non trivial calculations. The efficiency of WEBIRA and other MCDM methods — SAW (Simple Additive Weighting) and EMDCW (Entropy Method for Determining the Criterion Weight) compared for 4 different data normalization methods. The results of the study revealed that more sophisticated WEBIRA method is significantly efficient for all considered numbers of alternatives. Efficiency of all methods decreases with increasing number of alternatives, but WEBIRA is still applicable, while application of other methods is impossible as the number of alternatives is greater than 11. WEBIRA is the least affected by the data normalization, while EMDCW is the most affected method.References
Stanujkic,D.; Dordevic, B.; Dordevic, M. (2013); Comparative analysis of some prominent MCDM methods: A case of ranking Serbian banks, Serbian Journal of Management, 8(2): 213-241.
Zavadskas, E.K.; Turskis, Z. (2008); A New Logarithmic Normalization Method in Games Theory, Informatica, 19(2): 303-314.
Churchman, C.W.; Ackoff, R. (1954); An Approximate Measure of Value. Journal of the Operations Research Society of America, 2(2):172-187. https://doi.org/10.1287/opre.2.2.172
Fishburn, P.C. (1967); Additive Utilities with Incomplete Product Sets: Application to Priorities and Assignments, Operations Research, 15(3):537-542. https://doi.org/10.1287/opre.15.3.537
Zionts, S.; Wallenius, J. (1976); An Interactive Programming Method for Solving the Multiple Criteria Problem, Management Science, 26:652-663.
Triantaphyllou, E. (2000); Multi-Criteria Decision Making Methods: A Comparative Study, Norwell, MA:Kluwer.
Stanujkic, D.; Zavadskas, E.K. (2015); A modified Weighted Sum method based on the decision-maker's preferred levels of performances, Studies in Informatics and Control, 24(4): 461-470.
Alanazi, H.O.; Abdullah, A.H.; Larbani, M. (2013); Dynamic weighted sum multi-criteria decision making: mathematical model. International Journal of Mathematics and Statistics Invention, 1(2): 16-18.
Hwang, C.L.; Yoon, K. (1981); Multiple Attribute Decision Making - Methods and Applications: A State-of-the-Art Survey, Lecture Notes in Economics and Mathematical Systems, Springer, New York.
Triantaphyllou, E.; Baig, K. (2005); The impact of aggregating benefit and cost criteria in four MCDA methods, IEEE Transactions on Engineering Management, 52(2):213-226. https://doi.org/10.1109/TEM.2005.845221
Kaliszewski, I.; Podkopaev, D. (2016); Simple additive weighting - A metamodel for multiple criteria decision analysis methods, Expert Systems with Applications, 54:155-161. https://doi.org/10.1016/j.eswa.2016.01.042
Wang, Y.J. (2015); A fuzzy multi-criteria decision-making model based on simple additive weighting method and relative preference relation, Applied Soft Computing, 30:412-420. https://doi.org/10.1016/j.asoc.2015.02.002
Tzeng, G.H.; Huang J. (2011); Multiple Attribute Decision Making: Methods and Applications, CRCPress, Taylor & Francis group.
Mardani, A.; Jusoh, A.; Nor, MD K.; Khalifah, Z.; Zakwan, N.; Valipour, A. (2015); Multiple criteria decision-making techniques and their applications - a review of the literature from 2000 to 2014, Economic Research-Ekonomska Istraživanja, 28(1):516-571.
MacCrimmon, K.R. (1968); Decisionmaking Among Multiple-Attribute Alternatives: A Survey and Consolidated Approach, Santa Monica, CA: RAND Corporation.
Wang, P.; Zhu Z.Q.; Wang, Y.G. (2016); A novel hybrid MCDM model combining the SAW, TOPSIS and GRA methods based on experimental design, Information Sciences, 345:27-45. https://doi.org/10.1016/j.ins.2016.01.076
Ghorabaee, M.K.; Zavadskas, E.K.; Turskis, Z.; Antucheviciene, J. (2016); A new combinative distance-based assessment (CODAS) method for multi-criteria decision-making, Economic Computation & Economic Cybernetics Studies & Research, 50(3):25-44.
Chakraborty, S.; Zavadskas, E.K. (2014); Applications of WASPAS Method in Manufacturing Decision Making, Informatica, 25(1):1-20.
Zavadskas, E.K.; Antucheviciene, J.; Razavi Hajiagha, S.H; Hashemi, S.S. (2014); Extension of weighted aggregated sum product assessment with interval-valued intuitionistic fuzzy numbers (WASPAS-IVIF), Applied Soft Computing, 24:1013-1021. https://doi.org/10.1016/j.asoc.2014.08.031
Peng, Y.; Zhang, Y.; Kou, G.; Shi, Y. (2012); A Multicriteria Decision Making Approach for Estimating the Number of Clusters in a Data Set, PLoS ONE, 7(7): e41713. https://doi.org/10.1371/journal.pone.0041713
Zavadskas, E.K.; Podvezko, V. (2016); Integrated Determination of Objective Criteria Weights in MCDM, International Journal of Information Technology & Decision Making, 15(2):267-283. https://doi.org/10.1142/S0219622016500036
Krylovas, A.; Zavadskas, E.K.; Kosareva, N.; Dadelo, S. (2014); New KEMIRA Method for Determining Criteria Priority and Weights in Solving MCDM Problem, International Journal of Information Technology & Decision Making, 13(1):1119-1133.
Krylovas, A.; Kosareva, N.; Zavadskas, E.K. (2016); Statistical analysis of KEMIRA type weights balancing methods, Romanian Journal of Economic Forecasting, 19(3):19-39.
Krylovas, A.; Zavadskas, E.K.; Kosareva, N. (2016); Multiple criteria decision-making KEMIRA-M method for solution of location alternatives, Economic Research-Ekonomska Istraživanja, 29(1): 50-65.
Kosareva, N.; Zavadskas, E.K.; Krylovas, A.; Dadelo, S. (2016); Personnel ranking and selection problem solution by application of KEMIRA method, International Journal of Computers Communications & Control, 11(1):51-66. https://doi.org/10.15837/ijccc.2016.1.2159
Zanakis, S.H.; Solomon, A.; Wishart, N.; Dublish, S. (1998); Multi-attribute decision making: A simulation comparison of select methods, European Journal of Operational Research, 107(3):507-529. https://doi.org/10.1016/S0377-2217(97)00147-1
Podvezko, V. (2011); The Comparative Analysis of MCDA Methods SAW and COPRAS, Inzinerine Ekonomika-Engineering Economics, 22(2):134-146. https://doi.org/10.5755/j01.ee.22.2.310
Mulliner, E.; Malys, N.; Maliene, V. (2016); Comparative analysis of MCDM methods for the assessment of sustainable housing affordability, Omega, 59(B):146-156.
Karami, A.; Johansson, R. (2014); Utilization of Multi Attribute Decision Making Techniques to Integrate Automatic and Manual Ranking of Options, Journal of Information Science and Engineering, 30(2):519-534.
Kolios, A.; Mytilinou, V.; Lozano-Minguez, E.; Salonitis, K. (2016); A Comparative Study of Multiple-Criteria Decision-Making Methods under Stochastic Inputs, Energies, 9(7):566-587. https://doi.org/10.3390/en9070566
Shannon, C.E. (1948); A Mathematical Theory of Communication, The Bell System Technical J, 27:379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
Cereska, A.; Podvezko, V.; Zavadskas, E.K. (2016); Operating Characteristics Analysis of Rotor Systems Using MCDM Methods, Studies in Informatics and Control, 25(1):59-68.
Jahan, A.; Edwards, K.L. (2015); A state-of-the-art survey on the influence of normalization techniques in ranking: Improving the materials selection process in engineering design, Materials & Design, 65:335-342. https://doi.org/10.1016/j.matdes.2014.09.022
Kaplinski, O.; TamošaitienË™e, J. (2015);Analysis of Normalization Methods Influencing Results: A Review to Honour Professor Friedel Peldschus on the Occasion of his 75th Birthday, Procedia Engineering, 122:2-10. https://doi.org/10.1016/j.proeng.2015.10.001
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