Inclusion of uncertainty with different types of fuzzy numbers into DEMATEL
Nowadays the multi-criteria decision making is very complicated due to uncertainty, vagueness, limited sources, knowledge and time. The Decision-making Trial and Evaluation Laboratory (DEMATEL) method is a widely used multi-criteria decision-making method to analyze the structure of a complex system. It is useful in analysing the cause and effect relationships between the components of the system. Fuzzy sets can be used to include uncertainty in multi-criteria decision making. Linguistic assessments of decision makers can be translated into fuzzy numbers. In this study, fuzzy numbers, intuitionistic fuzzy numbers and neutrosophic fuzzy numbers were used for the decision makers evaluations in the DEMATEL method. The aim of this study was to evaluate how different types of fuzzy numbers affect the final results. An application of risk in construction projects was selected from the literature, where seven experts used a linguistic scale to evaluate different criteria. The results showed that there are only slight differences between the weights of the criteria with regard to the type of fuzzy numbers.
Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87-96.
Baykasoğlu, A., Kaplanoğlu, V., Durmuşoğlu, Z. D. U., & Şahin, C. (2013). Integrating fuzzy DEMATEL and fuzzy hierarchical TOPSIS methods for truck selection. Expert Systems with Applications, 40, 899-907.
Chang, B., Chang, C.-W., & Wu, C.-H. (2011). Fuzzy DEMATEL method for developing supplier selection criteria. Expert Systems with Applications, 38, 1850-1858.
Chen, S. H., & Hsieh, C. H. (2000). Representation, ranking, distance, and similarity of LR type fuzzy number and application. Australian Journal of Intelligent Processing Systems, 6, 217-229.
Chen, Z., & Yang, W. (2011). An MAGDM based on constrained FAHP and FTOPSIS and its application to supplier selection. Mathematical and Computer Modelling, 54, 2802-2815.
Dong, J., & Huo, H. (2017). Identification of Financing Barriers to Energy Efficiency in Small and Medium-Sized Enterprises by Integrating the Fuzzy Delphi and Fuzzy DEMATEL Approaches. Energies, 10 (8), 1172.
Feng, C., & Ma, R. (2020). Identification of the factors that influence service innovation in manufacturing enterprises by using the fuzzy DEMATEL method. Journal of Cleaner Production, 253, 120002.
Francés-Chust, J., Brentan, B. M., Carpitella, S., Izquierdo, J., & Montalvo, I. (2020). Optimal Placement of Pressure Sensors Using Fuzzy DEMATEL-Based Sensor Influence. Water, 12, 493.
Gabus, A., & Fontela, E. (1973). Perceptions of the world problematique: Communication procedure, communicating with those bearing collective responsibility, Geneva, Switzerland: Battelle Geneva Research Centre
Gan, J., & Luo, L. (2017). Using DEMATEL and intuitionistic fuzzy sets to identify critical factors influencing the recycling rate of end-of-life vehicles in China. Sustainability 9 (10), 1873.
Govindan, K., Khodaverdi, R., & Vafadarnikjoo, A. (2015). Intuitionistic fuzzy based DEMATEL method for developing green practices and performances in a green supply chain. Expert Systems with Applications, 42, 7207-7220.
Grzegrorzewski, P. (2003). The hamming distance between intuitionistic fuzzy sets. In "Proceedings of the 10th IFSA world congress, Istanbul, Turkey", 30, 35-38.
Kazancoglu, Y., Kazancoglu, I., & Sagnak, M. (2018). Fuzzy DEMATEL-based green supply chain management performance: Application in cement industry. Industrial Management & Data Systems, 118, 412-431.
Kiani Mavi, R., & Standing, C. (2018). Critical success factors of sustainable project management in construction: A fuzzy DEMATEL-ANP approach. Journal of Cleaner Production, 194, 751-765.
Li, H., Wang, W., Fan, L., Li, Q., & Chen, X. (2020). A novel hybrid MCDM model for machine tool selection using fuzzy DEMATEL, entropy weighting and later defuzzification VIKOR. Applied Soft Computing, 91, 106207.
Lin, C.-J., & Wu, W.-W. (2008). A causal analytical method for group decision-making under fuzzy environment. Expert Systems with Applications, 34, 205-213.
Montalvo Pantoja, R. M., Narváez Ortiz, K. A., Salas, S. G., & Pico, O. A. (2020). Prioritization internal factors in the emergency service of the" Luis Gabriel Dávila" Hospital that cause the reentry of patients within 48 hours, based on neutrosophic DEMATEL. Neutrosophic Sets & Systems 34, 100-109.
Nikjoo, A. V., & Saeedpoor, M. (2014). An intuitionistic fuzzy DEMATEL methodology for prioritising the components of SWOT matrix in the Iranian insurance industry. International Journal of Operational Research, 20, 439-452.
Opricovic, S., & Tzeng, G.-H. (2003). Defuzzification within a multicriteria decision model. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 11, 635-652.
Pandey, A., & Kumar, A. (2017). Commentary on “Evaluating the criteria for human resource for science and technology (HRST) based on an integrated fuzzy AHP and fuzzy DEMATEL approach”. Applied Soft Computing, 51, 351-352.
Patil, S. K., & Kant, R. (2014). A hybrid approach based on fuzzy DEMATEL and FMCDM to predict success of knowledge management adoption in supply chain. Applied Soft Computing, 18, 126-135.
Sheng-Li, S., Xiao-Yue, Y., Hu-Chen, L., & Zhang, P. (2018). DEMATEL Technique: A Systematic Review of the State-of-the-Art Literature on Methodologies and Applications. Mathematical Problems in Engineering 2018, 33-67.
Smarandache, F. (1998). Neutrosophy: neutrosophic probability, set, and logic: Analytic Synthesis & Synthetic Analysis. Reheboth, USA, American Research Press.
Sotoudeh-Anvari, A. (2020). A critical review on theoretical drawbacks and mathematical incorrect assumptions in fuzzy OR methods: Review from 2010 to 2020. Applied Soft Computing, 93, 106354.
Tavana, M., Khalili-Damghani, K., & Sadi-Nezhad, S. (2013). A fuzzy group data envelopment analysis model for high-technology project selection: A case study at NASA. Computers & Industrial Engineering, 66, 10-23.
Torra, V., & Narukawa, Y. (2009). On hesitant fuzzy sets and decision. In "2009 IEEE International Conference on Fuzzy Systems", IEEE, 1378-1382.
Vafadarnikjoo, A., Mobin, M., & Firouzabadi, S. (2016). An intuitionistic fuzzy-based DEMATEL to rank risks of construction projects. In "Proceedings of the 2016 International Conference on Industrial Engineering and Operations Management, Detroit, MI, USA", 23-25.
Wu, W.-W., & Lee, Y.-T. (2007). Developing global managers’ competencies using the fuzzy DEMATEL method. Expert Systems with Applications, 32, 499-507.
Yager, R. R., and Filev, D. P. (1994). Essentials of fuzzy modeling and control. New York, 388, 22-23.
Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
Zhou, F., Wang, X., Lim, M. K., He, Y., & Li, L. (2018). Sustainable recycling partner selection using fuzzy DEMATEL-AEW-FVIKOR: A case study in small-and-medium enterprises (SMEs). Journal of Cleaner Production, 196, 489-504.
Zhou, Q., Huang, W., & Zhang, Y. (2011). Identifying critical success factors in emergency management using a fuzzy DEMATEL method. Safety Science, 49, 243-252.
The Author wishes to submit the Work to SJM for publication. To enable SJM to publish the Work and to give effect to the parties’ intention set forth herein, they have agreed to cede the first right to publication and republication in the SJM Journal.
The Author hereby cedes to SJM, who accepts the cession, to the copyright in and to the paper.
The purpose of the cession is to enable SJM to publish the Work, as first publisher world-wide, and for republication in the SJM Journal, and to grant the right to others to publish the Work world-wide, for so long as such copyright subsists;
SJM shall be entitled to edit the work before publication, as it deems fit, subject to the Authors approval
The Author warrants to SJM that:
- the Author is the owner of the copyright in the Work, whether as author or as reassigned from the Author’s employee and that the Author is entitled to cede the copyright to SJM;
- the paper (or any of its part) is not submitted or accepted for publication in any other Journal;
- the Work is an original work created by the Author;
- the Author has not transferred, ceded, or assigned the copyright, or any part thereof, to any third party; or granted any third party a licence or other right to the copyright, which may affect or detract from the rights granted to SJM in terms of this agreement.
The Author hereby indemnifies the SJM as a body and its individual members, to the fullest extent permitted in law, against all or any claims which may arise consequent to the warranties set forth.
No monetary consideration shall be payable by SJM to the Author for the cession, but SJM shall clearly identify the Author as having produced the Work and ensure that due recognition is given to the Author in any publication of the Work.
Should SJM, in its sole discretion, elect not to publish the Work within 1 year after the date of this agreement, the cession shall lapse and be of no further effect. In such event the copyright shall revert to the Author and SJM shall not publish the Work, or any part thereof, without the Author’s prior written consent.