Generalized DEMATEL technique with centrality measurements
Abstract
DEMATEL technique is a useful tool for understanding the influential relationship between criteria of a systematic problematique in structural modeling, and has received much attention in the field of decision analysis recently. However, the past papers focused on the applications of DEMATEL technique and ignored the convergence problem of the approach. In addition, two simple indicators, i.e., in-degree and out-degree centralities, used in DEMATEL technique cannot fully represent the insight of the network relationship. In this paper, we propose a general DEMATEL technique which incorporated the concept based on interaction diminishing effect. The traditional DEMATEL technique can be considered as a special case of the proposed method when we ignore the effect. Later, we give six important indicators which can be used in DEMATEL technique to conclude the relative importance of criteria. In addition, a numerical example is used to demonstrate the proposed method and the applications of the indicators.
First published online: 08 May 2017
Keyword : decision analysis, DEMATEL technique, systematic problematique, structural modeling, indicators, influential relationship
How to Cite
Chen, C.-Y., Tzeng, G.-H., & Huang, J.-J. (2018). Generalized DEMATEL technique with centrality measurements. Technological and Economic Development of Economy, 24(2), 600–614. https://doi.org/10.3846/20294913.2016.1216471
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
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Altuntas, S.; Dereli, T. 2015. A novel approach based on DEMATEL method and patent citation analysis to prioritize investment projects, Expert Systems with Applications 42(3): 1003–1012. https://doi.org/10.1016/j.eswa.2014.09.018
Altuntas, S.; Selim, H.; Dereli, T. 2014. A fuzzy DEMATEL-based solution approach for facility layout problem: a case study, The International Journal of Advanced Manufacturing Technology 73(5): 749–771. https://doi.org/10.1007/s00170-014-5826-3
Bai, C.; Sarkis, J. 2013. A grey-based DEMATEL model for evaluating business process management critical success factors, International Journal of Production Economics 146(1): 281–292. https://doi.org/10.1016/j.ijpe.2013.07.011
Bidard, C. 2007. The weak Hawkins-Simon condition, Electronic Journal of Linear 16(1): 44–59. https://doi.org/10.13001/1081-3810.1181
Bonacich, P. 1972. Factoring and weighting approaches to status scores and clique identification, Journal of Mathematical Sociology 2(1): 113–120. https://doi.org/10.1080/0022250X.1972.9989806
Chang, K. H.; Cheng, C. H. 2011. Evaluating the risk of failure using the fuzzy OWA and DEMATEL method, Journal of Intelligent Manufacturing 22(2): 113–129. https://doi.org/10.1007/s10845-009-0266-x
Chen, F. H.; Hsu, T. S.; Tzeng, G. H. 2011. A balanced scorecard approach to establish a performance evaluation and relationship model for hot spring hotels based on a hybrid MCDM model combining DEMATEL and ANP, International Journal of Hospitality Management 30(4): 908–932. https://doi.org/10.1016/j.ijhm.2011.02.001
Chen, Y. C.; Lien, H. P.; Tzeng, G. H.; Yang, L. S. 2009. Combined DEMATEL technique with VIKOR method for improving environment-watershed plan strategy, in EURO Conference, 5–8 July 2009, Bonn, p. TA-37.
Chen, Z.; Xie, X. B.; Yan, L.; Zheng, Z. 2010. Analysis of external environmental influencing factors on the evolution of resource-based industrial system based on DEMATEL method, in IEEE 2nd International Conference on Information Science and Engineering (ICISE), 04–06 December 2010, Hangzhou, China, 93–96.
Cheng, C. C.; Chen, C. T.; Hsu, F. S.; Hu, H. Y. 2012. Enhancing service quality improvement strategies of fine-dining restaurants: new insights from integrating a two-phase decision-making model of IPGA and DEMATEL analysis, International Journal of Hospitality Management 31(4): 1155–1166. https://doi.org/10.1016/j.ijhm.2012.02.003
Dey, S.; Kumar, A.; Ray, A.; Pradhan, B. B. 2012. Supplier selection: integrated theory using DEMATEL and quality function deployment methodology, Procedia Engineering 38(11): 3560–3565. https://doi.org/10.1016/j.proeng.2012.06.411
Fekri, R.; Aliahmadi, A.; Fathian, M. 2009. Identifying the cause and effect factors of agile NPD process with fuzzy DEMATEL method: the case of Iranian companies, Journal of Intelligent Manufacturing 20(6): 637–648. https://doi.org/10.1007/s10845-008-0153-x
Fontela, E.; Gabus, A. 1974. DEMATEL, Innovative Methods. Report No. 2, Structural analysis of the world problematique. Battelle Geneva Research Institute (Battelle Memorial Institute).
Fontela, E.; Gabus, A. 1976. The DEMATEL Observer. Institute, Geneva Research Center.
Freeman, L. C. 1977. A set of measures of centrality based on betweenness, Sociometry 40(1): 35–41. https://doi.org/10.2307/3033543
Freeman, L. C. 1979. Centrality in social networks conceptual clarification, Social Networks 1(3): 215–239. https://doi.org/10.1016/0378-8733(78)90021-7
Frobenius, G. 1912. Über Matrizen aus nicht negativen Elementen. Königliche Akademie der Wissenschaften, 456–477.
Gershgorin, S. A. 1931. Uber die abgrenzung der eigenwerte einer matrix, Известия Российской академии наук, Серия математическая 6: 749–754.
Hori, S.; Shimizu, Y. 1999. Designing methods of human interface for supervisory control systems, Control Engineering Practice 7(11): 1413–1419. https://doi.org/10.1016/S0967-0661(99)00112-4
Hsu, C. Y.; Chen K. T.; Tzeng, G. H. 2007. FMCDM with fuzzy DEMATEL approach for customers’ choice behavior model, International Journal of Fuzzy Systems 9(4): 236–246.
Hu, S. K.; Chuang, Y. C.; Yeh, Y. F.; Tzeng, G. H. 2012. Combining hybrid MADM with fuzzy integral for exploring the smart phone improvement in m-generation, International Journal of Fuzzy Systems 14(2): 204–214.
Jeng, D. J. F.; Tzeng, G. H. 2011. Social influence on the use of clinical decision support systems: revisiting the unified theory of acceptance and use of technology by the fuzzy DEMATEL technique, Computers and Industrial Engineering 62(3): 819–828. https://doi.org/10.1016/j.cie.2011.12.016
Lee, H. S.; Tzeng, G. H.; Yeih, W.; Wang, Y. J.; Yang, S. C. 2013. Revised DEMATEL: resolving the infeasibility of DEMATEL, Applied Mathematical Modelling 37(10–11): 6746–6757. https://doi.org/10.1016/j.apm.2013.01.016
Leontief, W. 1949. Recent developments in the study of interindustrial relationships, The American Economic Review 39(3): 211–225.
Lin, C. J.; Wu, W. W. 2004. A fuzzy extension of the DEMATEL method for group decision-making, European Journal of Operational Research 156(3): 445–455.
Liu, C. H.; Tzeng, G. H.; Lee, M. H. 2013. Strategies for improving cruise product sales using hybrid “multiple criteria decision making” models, The Service Industries Journal 33(5): 542–563. https://doi.org/10.1080/02642069.2011.614342
Lu, M. T.; Lin, S. W.; Tzeng, G. H. 2013. Improving RFID adoption in Taiwan’s healthcare industry based on a DEMATEL technique with a hybrid MCDM model, Decision Support Systems 56: 259–269. https://doi.org/10.1016/j.dss.2013.06.006
Ou Yang, Y. P.; Shieh, H. M.; Tzeng, G. H. 2009. A VIKOR-based multiple criteria decision method for improving information security risk, International Journal of Information Technology and Decision Making 8(2): 267–287. https://doi.org/10.1142/S0219622009003375
Ou Yang, Y. P.; Shieh, H. M.; Tzeng, G. H. 2013. A VIKOR technique based on DEMATEL and ANP for information security risk control assessment, Information Sciences 232(5): 482–500. https://doi.org/10.1016/j.ins.2011.09.012
Peng, K. H.; Tzeng, G. H. 2013. A hybrid dynamic MADM model for problem-improvement in economics and business, Technological and Economic Development of Economy 19(4): 638–660. https://doi.org/10.3846/20294913.2013.837114
Shen, K. Y.; Tzeng, G. H. 2014. DRSA-based neuro-fuzzy inference systems for the financial performance prediction of commercial banks, International Journal of Fuzzy Systems 16(2): 173–183.
Shieh, J. I.; Wu, H. H.; Huang, K. K. 2010. A DEMATEL method in identifying key success factors of hospital service quality, Knowledge-Based Systems 23(3): 277–282. https://doi.org/10.1016/j.knosys.2010.01.013
Tamura, H.; Akazawa, K. 2005. Stochastic DEMATEL for structural modeling of a complex problematique for realizing safe, secure and reliable society, Journal of Telecommunications and Information Technology 4(2): 139–146.
Tamura, H.; Okanishi, H.; Akazawa, K. 2006. Decision support for extracting and dissolving consumers’ uneasiness over foods using stochastic DEMATEL, Journal of Telecommunications and Information Technology 4(1): 91–95.
Tsai, W. H.; Hsu, W. 2010. A novel hybrid model based on DEMATEL and ANP for selecting cost of quality model development, Total Quality Management 2(4): 439–456. https://doi.org/10.1080/14783361003606852
Tseng, M. L.; Lin, Y. H. 2009. Application of fuzzy DEMATEL to develop a cause and effect model of municipal solid waste management in Metro Manila, Environmental Monitoring and Assessment 158(1): 519–533. https://doi.org/10.1007/s10661-008-0601-2
Tzeng, G. H.; Chiang, C. H.; Li, C. W. 2007. Evaluating intertwined effects in e-learning programs: a novel hybrid MCDM model based on factor analysis and DEMATEL, Expert Systems with Applications 32(4): 1028–1044. https://doi.org/10.1016/j.eswa.2006.02.004
Tzeng, G. H.; Huang, J. J. 2011. Multiple Attribute Decision Making: Methods and Applications. CRC Press.
Tzeng, G. H.; Tsaur, S. H. 1995. Energy demand forecast for motor freight transportation in Taiwan: application of a dynamic interregional input-output model, Journal of Applied Input-Output Analysis 2(2): 41–53.
Wang, F. K.; Hsu, C. H.; Tzeng, G. H. 2014. Applying a hybrid MCDM model for six sigma project selection, Mathematical Problems in Engineering (2014), Article ID 730934. https://doi.org/10.1155/2014/730934
Warfield, J. N. 1976. Societal systems: planning, policy, and complexity. New York: Wiley.
Altuntas, S.; Dereli, T. 2015. A novel approach based on DEMATEL method and patent citation analysis to prioritize investment projects, Expert Systems with Applications 42(3): 1003–1012. https://doi.org/10.1016/j.eswa.2014.09.018
Altuntas, S.; Selim, H.; Dereli, T. 2014. A fuzzy DEMATEL-based solution approach for facility layout problem: a case study, The International Journal of Advanced Manufacturing Technology 73(5): 749–771. https://doi.org/10.1007/s00170-014-5826-3
Bai, C.; Sarkis, J. 2013. A grey-based DEMATEL model for evaluating business process management critical success factors, International Journal of Production Economics 146(1): 281–292. https://doi.org/10.1016/j.ijpe.2013.07.011
Bidard, C. 2007. The weak Hawkins-Simon condition, Electronic Journal of Linear 16(1): 44–59. https://doi.org/10.13001/1081-3810.1181
Bonacich, P. 1972. Factoring and weighting approaches to status scores and clique identification, Journal of Mathematical Sociology 2(1): 113–120. https://doi.org/10.1080/0022250X.1972.9989806
Chang, K. H.; Cheng, C. H. 2011. Evaluating the risk of failure using the fuzzy OWA and DEMATEL method, Journal of Intelligent Manufacturing 22(2): 113–129. https://doi.org/10.1007/s10845-009-0266-x
Chen, F. H.; Hsu, T. S.; Tzeng, G. H. 2011. A balanced scorecard approach to establish a performance evaluation and relationship model for hot spring hotels based on a hybrid MCDM model combining DEMATEL and ANP, International Journal of Hospitality Management 30(4): 908–932. https://doi.org/10.1016/j.ijhm.2011.02.001
Chen, Y. C.; Lien, H. P.; Tzeng, G. H.; Yang, L. S. 2009. Combined DEMATEL technique with VIKOR method for improving environment-watershed plan strategy, in EURO Conference, 5–8 July 2009, Bonn, p. TA-37.
Chen, Z.; Xie, X. B.; Yan, L.; Zheng, Z. 2010. Analysis of external environmental influencing factors on the evolution of resource-based industrial system based on DEMATEL method, in IEEE 2nd International Conference on Information Science and Engineering (ICISE), 04–06 December 2010, Hangzhou, China, 93–96.
Cheng, C. C.; Chen, C. T.; Hsu, F. S.; Hu, H. Y. 2012. Enhancing service quality improvement strategies of fine-dining restaurants: new insights from integrating a two-phase decision-making model of IPGA and DEMATEL analysis, International Journal of Hospitality Management 31(4): 1155–1166. https://doi.org/10.1016/j.ijhm.2012.02.003
Dey, S.; Kumar, A.; Ray, A.; Pradhan, B. B. 2012. Supplier selection: integrated theory using DEMATEL and quality function deployment methodology, Procedia Engineering 38(11): 3560–3565. https://doi.org/10.1016/j.proeng.2012.06.411
Fekri, R.; Aliahmadi, A.; Fathian, M. 2009. Identifying the cause and effect factors of agile NPD process with fuzzy DEMATEL method: the case of Iranian companies, Journal of Intelligent Manufacturing 20(6): 637–648. https://doi.org/10.1007/s10845-008-0153-x
Fontela, E.; Gabus, A. 1974. DEMATEL, Innovative Methods. Report No. 2, Structural analysis of the world problematique. Battelle Geneva Research Institute (Battelle Memorial Institute).
Fontela, E.; Gabus, A. 1976. The DEMATEL Observer. Institute, Geneva Research Center.
Freeman, L. C. 1977. A set of measures of centrality based on betweenness, Sociometry 40(1): 35–41. https://doi.org/10.2307/3033543
Freeman, L. C. 1979. Centrality in social networks conceptual clarification, Social Networks 1(3): 215–239. https://doi.org/10.1016/0378-8733(78)90021-7
Frobenius, G. 1912. Über Matrizen aus nicht negativen Elementen. Königliche Akademie der Wissenschaften, 456–477.
Gershgorin, S. A. 1931. Uber die abgrenzung der eigenwerte einer matrix, Известия Российской академии наук, Серия математическая 6: 749–754.
Hori, S.; Shimizu, Y. 1999. Designing methods of human interface for supervisory control systems, Control Engineering Practice 7(11): 1413–1419. https://doi.org/10.1016/S0967-0661(99)00112-4
Hsu, C. Y.; Chen K. T.; Tzeng, G. H. 2007. FMCDM with fuzzy DEMATEL approach for customers’ choice behavior model, International Journal of Fuzzy Systems 9(4): 236–246.
Hu, S. K.; Chuang, Y. C.; Yeh, Y. F.; Tzeng, G. H. 2012. Combining hybrid MADM with fuzzy integral for exploring the smart phone improvement in m-generation, International Journal of Fuzzy Systems 14(2): 204–214.
Jeng, D. J. F.; Tzeng, G. H. 2011. Social influence on the use of clinical decision support systems: revisiting the unified theory of acceptance and use of technology by the fuzzy DEMATEL technique, Computers and Industrial Engineering 62(3): 819–828. https://doi.org/10.1016/j.cie.2011.12.016
Lee, H. S.; Tzeng, G. H.; Yeih, W.; Wang, Y. J.; Yang, S. C. 2013. Revised DEMATEL: resolving the infeasibility of DEMATEL, Applied Mathematical Modelling 37(10–11): 6746–6757. https://doi.org/10.1016/j.apm.2013.01.016
Leontief, W. 1949. Recent developments in the study of interindustrial relationships, The American Economic Review 39(3): 211–225.
Lin, C. J.; Wu, W. W. 2004. A fuzzy extension of the DEMATEL method for group decision-making, European Journal of Operational Research 156(3): 445–455.
Liu, C. H.; Tzeng, G. H.; Lee, M. H. 2013. Strategies for improving cruise product sales using hybrid “multiple criteria decision making” models, The Service Industries Journal 33(5): 542–563. https://doi.org/10.1080/02642069.2011.614342
Lu, M. T.; Lin, S. W.; Tzeng, G. H. 2013. Improving RFID adoption in Taiwan’s healthcare industry based on a DEMATEL technique with a hybrid MCDM model, Decision Support Systems 56: 259–269. https://doi.org/10.1016/j.dss.2013.06.006
Ou Yang, Y. P.; Shieh, H. M.; Tzeng, G. H. 2009. A VIKOR-based multiple criteria decision method for improving information security risk, International Journal of Information Technology and Decision Making 8(2): 267–287. https://doi.org/10.1142/S0219622009003375
Ou Yang, Y. P.; Shieh, H. M.; Tzeng, G. H. 2013. A VIKOR technique based on DEMATEL and ANP for information security risk control assessment, Information Sciences 232(5): 482–500. https://doi.org/10.1016/j.ins.2011.09.012
Peng, K. H.; Tzeng, G. H. 2013. A hybrid dynamic MADM model for problem-improvement in economics and business, Technological and Economic Development of Economy 19(4): 638–660. https://doi.org/10.3846/20294913.2013.837114
Shen, K. Y.; Tzeng, G. H. 2014. DRSA-based neuro-fuzzy inference systems for the financial performance prediction of commercial banks, International Journal of Fuzzy Systems 16(2): 173–183.
Shieh, J. I.; Wu, H. H.; Huang, K. K. 2010. A DEMATEL method in identifying key success factors of hospital service quality, Knowledge-Based Systems 23(3): 277–282. https://doi.org/10.1016/j.knosys.2010.01.013
Tamura, H.; Akazawa, K. 2005. Stochastic DEMATEL for structural modeling of a complex problematique for realizing safe, secure and reliable society, Journal of Telecommunications and Information Technology 4(2): 139–146.
Tamura, H.; Okanishi, H.; Akazawa, K. 2006. Decision support for extracting and dissolving consumers’ uneasiness over foods using stochastic DEMATEL, Journal of Telecommunications and Information Technology 4(1): 91–95.
Tsai, W. H.; Hsu, W. 2010. A novel hybrid model based on DEMATEL and ANP for selecting cost of quality model development, Total Quality Management 2(4): 439–456. https://doi.org/10.1080/14783361003606852
Tseng, M. L.; Lin, Y. H. 2009. Application of fuzzy DEMATEL to develop a cause and effect model of municipal solid waste management in Metro Manila, Environmental Monitoring and Assessment 158(1): 519–533. https://doi.org/10.1007/s10661-008-0601-2
Tzeng, G. H.; Chiang, C. H.; Li, C. W. 2007. Evaluating intertwined effects in e-learning programs: a novel hybrid MCDM model based on factor analysis and DEMATEL, Expert Systems with Applications 32(4): 1028–1044. https://doi.org/10.1016/j.eswa.2006.02.004
Tzeng, G. H.; Huang, J. J. 2011. Multiple Attribute Decision Making: Methods and Applications. CRC Press.
Tzeng, G. H.; Tsaur, S. H. 1995. Energy demand forecast for motor freight transportation in Taiwan: application of a dynamic interregional input-output model, Journal of Applied Input-Output Analysis 2(2): 41–53.
Wang, F. K.; Hsu, C. H.; Tzeng, G. H. 2014. Applying a hybrid MCDM model for six sigma project selection, Mathematical Problems in Engineering (2014), Article ID 730934. https://doi.org/10.1155/2014/730934
Warfield, J. N. 1976. Societal systems: planning, policy, and complexity. New York: Wiley.