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MACONT: Mixed Aggregation by Comprehensive Normalization Technique for Multi-Criteria Analysis
Volume 31, Issue 4 (2020), pp. 857–880
Pub. online: 8 June 2020      Type: Research Article      Open accessOpen Access
Received
1 December 2019
Accepted
1 April 2020
Published
8 June 2020

Abstract

Normalization and aggregation are two most important issues in multi-criteria analysis. Although various multi-criteria decision-making (MCDM) methods have been developed over the past several decades, few of them integrate multiple normalization techniques and mixed aggregation approaches at the same time to reduce the deviations of evaluation values and enhance the reliability of the final decision result. This study is dedicated to introducing a new MCDM method called Mixed Aggregation by COmprehensive Normalization Technique (MACONT) to tackle complicate MCDM problems. This method introduces a comprehensive normalization technique based on criterion types, and then uses two mixed aggregation operators to aggregate the distance values between each alternative and the reference alternative on different criteria from the perspectives of compensation and non-compensation. An illustrative example is given to show the applicability of the proposed method, and the advantages of the proposed method are highlighted through sensitivity analyses and comparative analyses.

References

 
Aggarwal, M. (2017). Discriminative aggregation operators for multi criteria decision making. Applied Soft Computing, 52, 1058–1069. https://doi.org/10.1016/j.asoc.2016.09.025.
 
Alinezhad, A., Khalili, J. (2019). New Methods and Applications in Multiple Attribute Decision Making (MADM). International Series in Operations Research & Management Science, Vol. 277. Springer, Switzerland. https://doi.org/10.1007/978-3-030-15009-9.
 
Bai, C., Sarkis, J. (2019). Integrating and extending data and decision tools for sustainable third-party reverse logistics provider selection. Computers & Operations Research, 110, 188–207. https://doi.org/10.1016/j.cor.2018.06.005.
 
Bana e Costa, C.A., Chagas, M.P. (2004). A career choice problem: an example of how to use MACBETH to build a quantitative value model based on qualitative value judgments. European Journal of Operational Research, 153(2), 323–331. https://doi.org/10.1016/s0377-2217(03)00155-3.
 
Blanco-Mesa, F., León-Castro, E., Merigó, J.M. (2019). A bibliometric analysis of aggregation operators. Applied Soft Computing, 81, 105488. https://doi.org/10.1016/j.asoc.2019.105488.
 
Brauers, W.K.M., Zavadskas, E.K. (2009). Robustness of the multi-objective MOORA method with a test for the facilities sector. Technological and Economic Development of Economy, 15(2), 352–375. https://doi.org/10.3846/1392-8619.2009.15.352-375.
 
Brauers, W.K.M., Zavadskas, E.K. (2010). Project management by MULTIMOORA as an instrument for transition economies. Technological and Economic Development of Economy, 16(1), 5–24. https://doi.org/10.3846/tede.2010.01.
 
Brauers, W.K.M., Zavadskas, E.K. (2011). MULTIMOORA optimization used to decide on a bank loan to buy property. Technological and Economic Development of Economy, 17(1), 174–188. https://doi.org/10.3846/13928619.2011.560632.
 
Chen, P. (2019). Effects of normalization on the entropy-based TOPSIS method. Expert Systems with Applications, 136, 33–41. https://doi.org/10.1016/j.eswa.2019.06.035.
 
Diakoulaki, D., Mavrotas, G., Papayannakis, L. (1995). Determining objective weights in multiple criteria problems: the CRITIC method. Computers & Operations Research, 22(7), 763–770. https://doi.org/10.1016/0305-0548(94)00059-h.
 
Emovon, I., Norman, R.A., Murphy, A.J. (2016). Methodology of using an integrated averaging technique and MAUT method for failure mode and effects analysis. Journal of Engineering and Technology, 7(1), 140–155. http://journal.utem.edu.my/index.php/jet/article/view/777.
 
Gomes, L.F.A.M. (2009). An application of the TODIM method to the multicriteria rental evaluation of residential properties. European Journal of Operational Research, 193(1), 204–211. https://doi.org/10.1016/j.ejor.2007.10.046.
 
Govindan, K., Jepsen, M.B. (2016). ELECTRE: a comprehensive literature review on methodologies and applications. European Journal of Operational Research, 250(1), 1–29. https://doi.org/10.1016/j.ejor.2015.07.019.
 
Govindan, K., Kadziński, M., Ehling, R., Miebs, G. (2018). Selection of a sustainable third-party reverse logistics provider based on the robustness analysis of an outranking graph kernel conducted with ELECTRE I and SMAA. Omega, 85, 1–15. https://doi.org/10.1016/j.omega.2018.05.007.
 
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, Vol. 186. Springer-Verlag, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48318-9.
 
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, (1980–2015), 65, 335–342. https://doi.org/10.1016/j.matdes.2014.09.022.
 
Jharkharia, S., Shankar, R. (2007). Selection of logistics service provider: an analytic network process (ANP) approach. Omega, 35(3), 274–289. https://doi.org/10.1016/j.omega.2005.06.005.
 
Keshavarz Ghorabaee, M., Zavadskas, E.K., Olfat, L., Turskis, Z. (2015). Multi-criteria inventory classification using a new method of evaluation based on distance from average solution (EDAS). Informatica, 26, 435–451. https://doi.org/10.15388/Informatica.2015.57.
 
Kou, G., Lu, Y., Peng, Y., Shi, Y. (2012). Evaluation of classification algorithms using MCDM and rank correlation. International Journal of Information Technology & Decision Making, 11(01), 197–225. https://doi.org/10.1142/s0219622012500095.
 
Kou, G., Yang, P., Peng, Y., Xiao, F., Chen, Y., Alsaadi, F.E. (2020). Evaluation of feature selection methods for text classification with small datasets using multiple criteria decision-making methods. Applied Soft Computing, 86, 105836. https://doi.org/10.1016/j.asoc.2019.105836.
 
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(06), 1119–1133. https://doi.org/10.1142/s0219622014500825.
 
Lahtinen, T.J., Hämäläinen, R.P., Jenytin, C. (2020). On preference elicitation processes which mitigate the accumulation of biases in multi-criteria decision analysis. European Journal of Operational Research, 282(1), 201–210. https://doi.org/10.1016/j.ejor.2019.09.004.
 
Liao, H.C., Wu, X.L. (2020). DNMA: a double normalization-based multiple aggregation method for multi-expert multi-criteria decision making. Omega, 94, 102058. https://doi.org/10.1016/j.omega.2019.04.001.
 
Liao, H.C., Xu, Z.S., Herrera-Viedma, E., Herrera, F. (2018). Hesitant fuzzy linguistic term set and its application in decision making: a state-of-the art survey. International Journal of Fuzzy Systems, 20(7), 2084–2110. https://doi.org/10.1007/s40815-017-0432-9.
 
Liao, H.C., Wen, Z., Liu, L.L. (2019). Integrating BWM and ARAS under hesitant linguistic environment for digital supply chain finance supplier section. Technological and Economic Development of Economy, 25(6), 1188–1212. https://doi.org/10.3846/tede.2019.10716.
 
Liao, H.C., Mi, X.M., Xu, Z.S. (2020). A survey of decision-making methods with probabilistic linguistic information: bibliometrics, preliminaries, methodologies, applications and future directions. Fuzzy Optimization and Decision Making, 19(1), 81–134. https://doi.org/10.1007/s10700-019-09309-5.
 
Mi, X.M., Liao, H.C., Wu, X.L., Xu, Z.S. (2020). Probabilistic linguistic information fusion: a survey on aggregation operators in terms of principles, definitions, classifications, applications and challenges. International Journal of Intelligent Systems, 35(3), 529–556. https://doi.org/10.1002/int.22216.
 
Opricovic, S., Tzeng, G.H. (2004). Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. European Journal of Operational Research, 156(2), 445–455. https://doi.org/10.1016/S0377-2217(03)00020-1.
 
Opricovic, S., Tzeng, G.H. (2007). Extended VIKOR method in comparison with outranking methods. European Journal of Operational Research, 178(2), 514–529. https://doi.org/10.1016/j.ejor.2006.01.020.
 
Pamucar, D., Cirovic, G. (2015). The selection of transport and handling resources in logistics centers using multi-attributive border approximation area comparison (MABAC). Expert Systems with Applications, 42(6), 3016–3028. https://doi.org/10.1016/j.eswa.2014.11.057.
 
Roy, B. (1991). The outranking approach and the foundations of ELECTRE methods. Theory and Decision, 31(1), 49–73. https://doi.org/10.1007/bf00134132.
 
Wu, X.L., Liao, H.C. (2019). A consensus-based probabilistic linguistic gained and lost dominance score method. European Journal of Operational Research, 272(3), 1017–1027. https://doi.org/10.1016/j.ejor.2018.07.044.
 
Yazdani, M., Zarate, P., Zavadskas, E.K., Turskis, Z. (2019). A combined compromise solution (CoCoSo) method for multi-criteria decision-making problems. Management Decision, 57(9), 2501–2519. https://doi.org/10.1108/MD-05-2017-0458.
 
Zarbakhshnia, N., Soleimani, H., Ghaderi, H. (2018). Sustainable third-party reverse logistics provider evaluation and selection using fuzzy SWARA and developed fuzzy COPRAS in the presence of risk criteria. Applied Soft Computing, 65, 307–319. https://doi.org/10.1016/j.asoc.2018.01.023.
 
Zarbakhshnia, N., Wu, Y., Govindan, K., Soleimani, H. (2019). A novel hybrid multiple attribute decision-making approach for outsourcing sustainable reverse logistics. Journal of Cleaner Production, 242, 118461. https://doi.org/10.1016/j.jclepro.2019.118461.
 
Zavadskas, E.K., Turskis, Z. (2010). A new additive ratio assessment (ARAS) method in multicriteria decision-making. Technological and Economic Development of Economy, 16, 159–172. https://doi.org/10.3846/tede.2010.10.
 
Zavadskas, E.K., Podvezko, V. (2016). Integrated determination of objective criteria weights in MCDM. International Journal of Information Technology & Decision Making, 15(02), 267–283. https://doi.org/10.1142/s0219622016500036.
 
Zavadskas, E.K., Turskis, Z., Antucheviciene, J., Zakarevicius, A. (2012). Optimization of weighted aggregated sum product assessment. Elektronika ir elektrotechnika, 122(6), 3–6. https://doi.org/10.5755/j01.eee.122.6.1810.
 
Zavadskas, E.K., Turskis, Z., Kildienė, S. (2014). State of art surveys of overviews on MCDM/MADM methods. Technological and Economic Development of Economy, 20(1), 165–179. https://doi.org/10.3846/20294913.2014.892037.
 
Zhang, H., Kou, G., Peng, Y. (2019). Soft consensus cost models for group decision making and economic interpretations. European Journal of Operational Research, 277, 964–980. https://doi.org/10.1016/j.ejor.2019.03.009.
 
Zolfani, S.H., Bahrami, M. (2014). Investment prioritizing in high tech industries based on SWARA-COPRAS approach. Technological and Economic Development of Economy, 20(3), 534–533. https://doi.org/10.3846/20294913.2014.881435.

Biographies

Wen Zhi
wenzhi_456789@163.com

Z. Wen is a postgraduate majoring in logistics engineering from the Business School, Sichuan University, Chengdu, China. She has published several papers in high-quality international journals such as Technological and Economic Development of Economy, Journal of Civil Engineering and Management, and Economic Research-Ekonomska Istrazivanja. At present, her main research direction is multi criteria decision-making method under uncertainty environment and logistic engineering.

Liao Huchang
liaohuchang@163.com

H. Liao is a research fellow at the Business School, Sichuan University, Chengdu, China. He received his PhD degree in management science and engineering from the Shanghai Jiao Tong University, Shanghai, China, in 2015. He has published 3 monographs, 1 chapter, and more than 200 peer-reviewed papers, many in high-quality international journals including European Journal of Operational Research, Omega, IEEE Transactions on Fuzzy Systems, IEEE Transaction on Cybernetics, Information Sciences, Information Fusion, Knowledge-Based Systems, Fuzzy Sets and Systems, Expert Systems with Applications, International Journal of Production Economics, etc. He is a highly cited researcher since 2019. His current research interests include multiple criteria decision analysis under uncertainty, business intelligence and data science, cognitive computing, fuzzy set and systems, healthcare management, evidential reasoning theory with applications in big data analytics, etc. Prof. Liao is the senior member of IEEE since 2017. He is the editor-in-chief, associate editor, guest editor or editorial board member for 30 international journals, including Information Fusion (SCI), Applied Soft Computing (SCI), Technological and Economic Development of Economy (SSCI), International Journal of Strategic Property Management (SSCI), Computers and Industrial Engineering (SCI), International Journal of Fuzzy Systems (SCI), Journal of Intelligent and Fuzzy Systems (SCI) and Mathematical Problems in Engineering (SCI). Prof. Liao has received numerous honours and awards, including the thousand talents plan for young professionals in Sichuan Province, the candidate of academic and technical leaders in Sichuan Province, the outstanding scientific research achievement award in higher institutions (first class in Natural Science in 2017; second class in Natural Science in 2019), the outstanding scientific science research achievement award in Sichuan Province (second class in Social Science in 2019), and the 2015 endeavour research fellowship award granted by the Australia Government.

Zavadskas Edmundas Kazimieras
edmundas.zavadskas@vgtu.lt

E.K. Zavadskas, PhD, DSc, D.h.c. multi. prof., professor of Department of Construction Management and Real Estate, director of Institute of Sustainable Construction, Faculty of Civil Engineering, Vilnius Gediminas Technical University, Lithuania. Chief research fellow at Laboratory of Operational Research. PhD in building structures (1973). Dr Sc. (1987) in building technology and management. A member of Lithuanian and several foreign Academies of Sciences. Doctore Honoris Causa from Poznan, Saint-Petersburg and Kiev universities. The honourary international chair professor in the National Taipei University of Technology. A member of international organizations; a member of steering and programme committees at many international conferences; a member of the editorial boards of several research journals; the author and co-author of more than 400 papers and a number of monographs in Lithuanian, English, German and Russian. Founding editor of journals Technological and Economic Development of Economy and Journal of Civil Engineering and Management. Research interests: multi-criteria decision making; civil engineering, energy, sustainable development, fuzzy sets theory, fuzzy multi-criteria decision making, sustainability.


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Copyright
© 2020 Vilnius University
Open access article under the CC BY license.

Keywords
multiple criteria analysis; comprehensive normalization mixed aggregation virtual reference alternative MACONT

Funding
The work was supported by the National Natural Science Foundation of China under Grant nos. 71771156, 71971145.

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