Abstract
There are a number of methods related to TOPSIS. Although they are not the main focus of the book, we illustrate three of these supplemental TOPSIS methods: fuzzy TOPSIS, VIKOR (VlseKriterijumska Optimizacija I Kompromisno Resenje from Serbian), and BWM (Best Worst Method).
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References
Ahuja, R.K.: Minimax linear programming problem. Oper. Res. Lett. 4, 131–134 (1985). https://doi.org/10.1016/0167-6377(85)90017-3
Buckley, J.J., Eslami, E.: An Introduction to Fuzzy Logic and Fuzzy Sets. Springer, Heidelberg (2002). ISBN: 9783790814477
Ceballos, B., Pelta, D.A., Lamata, M.T.: Rank reversal and the VIKOR method: an empirical evaluation. Int. J. Inf. Technol. Decis. Mak. 17, 513–525 (2018). https://doi.org/10.1142/S0219622017500237
Chang, M.H.: Using a novel hybrid MCDM model to evaluate and select the strategic alliance partners for green biopharmaceutical industry. Ph.D. Dissertation, College of Management, National Taipei University of Technology, Taipei, Taiwan (2021)
Chen, S.J., Hwang, C.L.: Fuzzy Multiple Attribute Decision Making: Methods and Applications. Springer, Berlin (1992). ISBN: 9783540549987
Chen, Y.W., Tzeng, G.H.: Using fuzzy integral for evaluating subjectively perceived travel costs in a traffic assignment model. Eur. J. Oper. Res. 130, 653–664 (2001). https://doi.org/10.1016/S0377-2217(99)00439-7
Choquet, G.: Theory of capacities. Annales De L’institut Fourier 5, 131–295 (1953). https://doi.org/10.5802/aif.53
Deng, F., Li, Y., Lin, H., Miao, J., Liang, X.: A BWM-TOPSIS hazardous waste inventory safety risk evaluation. Int. J. Environ. Res. Public Health 17(5765), 1–18 (2020). https://doi.org/10.3390/ijerph17165765
Dong, J., Wan, S., Chen, S.M.: Fuzzy best-worst method based on triangular fuzzy numbers for multi-criteria decision-making. Inf. Sci. 547, 1080–1104 (2021). https://doi.org/10.1016/j.ins.2020.09.014
Dubois, D., Perny, P.: A review of fuzzy sets in decision sciences: Achievements, limitations and perspectives. Chapter 16, 637–691. In: Greco, S., Ehrgott, M., Figueira, J.R. (Eds.) Multiple Criteria Decision Analysis: State of the Art Surveys. Springer, New York (2016). ISBN: 9781493930937
Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press, New York (1980). ISBN: 9780122227509
Grabisch, M.: The application of fuzzy integrals in multicriteria decision making. Eur. J. Oper. Res. 89, 445–456 (1996). https://doi.org/10.1016/0377-2217(95)00176-X
Gul, M., Celik, E., Aydin, N., Gumus, A.T., Guneri, A.F.: A state of the art literature review of VIKOR and its fuzzy extensions on applications. Appl. Soft Comput. 46, 60–89 (2016). https://doi.org/10.1016/j.asoc.2016.04.040
Gupta, H.: Evaluating service quality of airline industry using hybrid best worst method and VIKOR. J. Air Transp. Manage. 68, 35–47 (2018). https://doi.org/10.1016/j.jairtraman.2017.06.001
Herrera-Viedma, E., Herrera, F., Chiclana, F.: A consensus model for multiperson decision making with different preference structures. IEEE Trans. Syst. Man Cybernet. Part A Syst. Hum. 32, 394–402 (2002). https://doi.org/10.1109/TSMCA.2002.802821
Kaufmann, A., Gupta, M.M.: Introduction to Fuzzy Arithmetic: Theory and Applications. Van Nostrand Reinhold, New York (1991). ISBN: 9781850328810
Kaya, T., Kahraman, C.: Multicriteria decision making in energy planning using a modified fuzzy TOPSIS methodology. Expert Syst. Appl. 38, 6577–6585 (2011). https://doi.org/10.1016/j.eswa.2010.11.081
Krishnan, A.R., Kasim, M.M., Bakar, E.M.N.E.A.: A short survey on the usage of Choquet integral and its associated fuzzy measure in multiple attribute analysis. Proc. Comput. Sci. 59, 427–434 (2015). https://doi.org/10.1016/j.procs.2015.07.560
Lee, E.S., Li, R.-J.: Comparison of fuzzy numbers based on the probability measure of fuzzy events. Comput. Math. with Appl. 15, 887–896 (1988). https://doi.org/10.1016/0898-1221(88)90124-1
Luo, C., Ju, Y., Santibanez Gonzalez, E.D.R., Dong, P., Wang, A.: The waste-to-energy incineration plant site selection based on hesitant fuzzy linguistic best-worst method ANP and double parameters TOPSIS approach: a case study in China. Energy 211(118564), 1–15 (2020). https://doi.org/10.1016/j.energy.2020.118564
Mardani, A., Zavadskas, E.K., Govindan, K., Senin, A.A., Jusoh, A.: VIKOR technique: a systematic review of the state of the art literature on methodologies and applications. Sustainability 8(37), 1–38 (2016). https://doi.org/10.3390/su8010037
Mi, X., Tang, M., Liao, H., Shen, W., Lev, B.: The state-of-the-art survey on integrations and applications of the best-worst method in decision making: why, what, what for, and what’s next. Omega 87, 205–225 (2019). https://doi.org/10.1016/j.omega.2019.01.009
Negi, D.S.: Fuzzy analysis and optimization. Ph.D. Dissertation, Department of Industrial Engineering, Kansas State University, Manhattan, Kansas (1989)
Nguyen, T.L.: Methods in ranking fuzzy numbers: a unified index and comparative reviews. Complexity, 2017: Article ID 3083745, 1-13 (1989). https://doi.org/10.1155/2017/3083745
Opricovic, S.: Multicriteria Optimization in Civil Engineering Systems. Faculty of Civil Engineering, Belgrade, 302 p. (1998). ISBN: 8680049824
Opricovic, S., Tzeng, G.-H.: Compromise solution by MCDM methods: a comparative analysis of VIKOR and TOPSIS. Eur. J. Oper. Res. 156, 445–455 (2004). https://doi.org/10.1016/S0377-2217(03)00020-1
Palczewski, K., Sałabun, W.: The fuzzy TOPSIS applications in the last decade. Proc. Comput. Sci. 159, 2294–2303 (2019). https://doi.org/10.1016/j.procs.2019.09.404
Ploskas, N., Papathanasiou, J.: A decision support system for multiple criteria alternative ranking using TOPSIS and VIKOR in fuzzy and nonfuzzy environments. Fuzzy Sets Syst. 377, 1–30 (2019). https://doi.org/10.1016/j.fss.2019.01.012
Rezaei, J.: Best-worst multi-criteria decision-making method. Omega 53, 49–57 (2015). https://doi.org/10.1016/j.omega.2014.11.009
Rezaei, J.: Best-worst multi-criteria decision-making method: some properties and a linear model. Omega 64, 126–130 (2016). https://doi.org/10.1016/j.omega.2015.12.001
Saaty, T. L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980). ISBN: 9780070543713
Shih, H.-S.: An incremental analysis for MCDM with an application to group TOPSIS. Eur. J. Oper. Res. 186, 720–734 (2008). https://doi.org/10.1016/j.ejor.2007.02.012
Sugeno, M.: Theory of Fuzzy Integrals and Its Applications. Ph.D. Thesis, Tokyo Institute of Technology, Tokyo (1974)
Taha, H.A.: Operations Research: An Introduction, 10th Edn. Harlow, Essex: Pearson (2017). ISBN: 9781292165547
Tan, C.: A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS. Expert Syst. Appl. 38, 3023–3033 (2011). https://doi.org/10.1016/j.eswa.2010.08.092
Tian, Z.P., Wang, J.Q., Wang, J., Zhang, H.Y.: A multiphase QFD-based hybrid fuzzy MCDM approach for performance evaluation: a case of smart bike-sharing programs in Changsha. J. Clean. Prod. 171, 1068–1083 (2018). https://doi.org/10.1016/j.jclepro.2017.10.098
Tsaur, R.C.: Decision risk analysis for an interval TOPSIS method. Appl. Math. Comput. 218, 4295–4304 (2011). https://doi.org/10.1016/j.amc.2011.10.001
Tzeng, G.H., Lin, C.W., Opricovic, S.: Multi-criteria analysis of alternative-fuel buses for public transportation.(2005a). https://doi.org/10.1016/j.enpol.2003.12.014
Tzeng, G.H., Ou Yang, Y.P., Lin, C.T., Chen, C.B.: Hierarchical MADM with fuzzy integral for evaluating enterprise intranet web sites. Inf. Sci. 169, 409–426 (2005b). https://doi.org/10.1016/j.ins.2004.07.001
Yang, J.L., Chiu, H.N., Tzeng, G.H., Yeh, R.H.: Vendor selection by integrated fuzzy MCDM techniques with independent and interdependent relationships. Inf. Sci. 178, 4166–4183 (2008). https://doi.org/10.1016/j.ins.2008.06.003
Yazdani, M., Graeml, F.R.: VIKOR and its applications: a state-of-the-art survey. Int. J. Strat. Dec. Sci. 5, 56–83 (2014). https://doi.org/10.4018/ijsds.2014040105
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965). https://doi.org/10.1016/S0019-9958(65)90241-X
Zhang, X., Xu, Z.: Extension of TOPSIS to multiple criteria decision making with Pythagorean fuzzy sets. Int. J. Intell. Syst. 29, 1061–1078 (2014). https://doi.org/10.1002/int.21676
Zimmermann, H.J.: Fuzzy Sets, Decision Making, and Expert Systems. Kluwer, Boston (1987). ISBN: 9780898381498
Zimmermann, H.J.: Fuzzy Set Theory—And Its Applications, 4th edn. Springer, New York (2001). ISBN: 9780898381498
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Shih, HS. (2022). Other Related Methods. In: TOPSIS and its Extensions: A Distance-Based MCDM Approach. Studies in Systems, Decision and Control, vol 447. Springer, Cham. https://doi.org/10.1007/978-3-031-09577-1_8
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DOI: https://doi.org/10.1007/978-3-031-09577-1_8
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