References
- [1] C.L. Hwang, K. Yoon, Multiple Attribute Decision Making Methods and Applications, Springer, Berlin Heidelberg, 1981.10.1007/978-3-642-48318-9
- [2] M. Behzadian, S.K. Otaghsara, M. Yazdani, J. Ignatius, A state-of the-art survey of TOPSIS applications, Expert Systems with Applications, 39, 2012, 13051–13069.10.1016/j.eswa.2012.05.056
- [3] Y. Çelikbilek, F. Tüysüz, An in-depth review of theory of the TOPSIS method: An experimental analysis, Journal of Management Analytics, 2020, 281–300.10.1080/23270012.2020.1748528
- [4] K. Palczewski, W. Sałabun, The fuzzy TOPSIS applications in the last decade, Procedia Computer Science, 159, 2019, 2294–2303.10.1016/j.procs.2019.09.404
- [5] M. Anisseh, F. Piri, M.R. Shahraki, F. Agamohamadi, Fuzzy extension of TOPSIS model for group decision making under multiple criteria, Artificial Intelligence Review, 38, 2012, 325–338.10.1007/s10462-011-9258-2
- [6] G. Bäyäközkan, G. Çifçi, A combined fuzzy AHP and fuzzy TOPSIS based strategic analysis of electronic service quality in healthcare industry, Expert Systems with Applications, 39, 2012, 2341–2354.10.1016/j.eswa.2011.08.061
- [7] G. Bäyäközkan, G. Çifçi, A novel hybrid MCDM approach based on fuzzy DEMATEL, fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers, Expert Systems with Applications, 39, 2012, 3000–3011.10.1016/j.eswa.2011.08.162
- [8] Z.-P. Fan, B. Feng, A multiple attributes decision making method using individual and collaborative attribute data in a fuzzy environment, Information Sciences, 179, 2009, 3603–3618.10.1016/j.ins.2009.06.037
- [9] M.N. Mokhtarian, A. Hadi-Vencheh, A new fuzzy TOPSIS method based on left and right scores: An application for determining an industrial zone for dairy products factory, Applied Soft Computing, 12, 2012, 2496–2505.10.1016/j.asoc.2012.03.042
- [10] Z. Xu, J. Chen, An interactive method for fuzzy multiple attribute group decision making, Information Sciences, 177, 2007, 248–263.10.1016/j.ins.2006.03.001
- [11] Q. Bao, D. Ruan, Y. Shena, E. Hermans, D. Janssens, Improved hierarchical fuzzy TOPSIS for road safety performance evaluation, Knowledge-Based Systems, 32, 2012, 84–90.10.1016/j.knosys.2011.08.014
- [12] I. Chamodrakas, D. Martakos, A utility-based fuzzy TOPSIS method for energy efficient network selection in heterogeneous wireless networks, Applied Soft Computing, 12, 2012, 1929–1938.10.1016/j.asoc.2012.04.016
- [13] M.F. Chen, G.H. Tzeng, Combining grey relation and TOPSIS concepts for selecting an expatriate host country, Mathematical and Computer Modelling, 40, 2004, 1473–1490.10.1016/j.mcm.2005.01.006
- [14] T.C. Chu, Facility location selection using fuzzy TOPSIS under group decisions, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 10, 2002, 687–701.10.1142/S0218488502001739
- [15] T.C. Chu, Selecting plant location via a fuzzy TOPSIS approach, The International Journal of Advanced Manufacturing Technology, 20, 2002, 859–864.10.1007/s001700200227
- [16] T.C. Chu, Y.C. Lin, A fuzzy TOPSIS method for robot selection, The International Journal of Advanced Manufacturing Technology, 21, 2003, 284–290.10.1007/s001700300033
- [17] Y. T. Iç, Development of a credit limit allocation model for banks using an integrated Fuzzy TOPSIS and linear programming, Expert Systems with Applications, 39, 2012, 5309–5316.10.1016/j.eswa.2011.11.005
- [18] T. Paksoy, N.Y. Pehlivan, C. Kahraman, Organizational strategy development in distribution channel management using fuzzy AHP and hierarchical fuzzy TOPSIS, Expert Systems with Applications, 39, 2012, 2822–2841.10.1016/j.eswa.2011.08.142
- [19] S.H. Tsaur, T.Y. Chang, C.H. Yen, The evaluation of airline service quality by fuzzy MCDM, Tourism Management, 23, 2002, 107–115.10.1016/S0261-5177(01)00050-4
- [20] B. Vahdani, S.M. Mousavi, R. Tavakkoli-Moghaddam, Group decision making based on novel fuzzy modified TOPSIS method, Applied Mathematical Modelling, 2011, 4257–4269.10.1016/j.apm.2011.02.040
- [21] A. Awasthi, S.S. Chauhan, A hybrid approach integrating Affinity Diagram, AHP and fuzzy TOPSIS for sustainable city logistics planning, Applied Mathematical Modelling, 36, 2012, 573–584.10.1016/j.apm.2011.07.033
- [22] T.-C. Chu, Y.C. Lin, An interval sense based fuzzy TOPSIS model, Expert Systems with Applications, 36, 2009, 10870–10876.10.1016/j.eswa.2009.01.083
- [23] C. Kahraman, G. Büyüközkan, N.Y. Ates¸, A two phase multi-attribute decision-making approach for new product introduction, Information Sciences, 177, 2007, 1567–1582.10.1016/j.ins.2006.09.008
- [24] M.-S. Kuo, G.-H. Tzeng, W.-C. Huang, Group decision-making based on concepts of ideal and anti-ideal points in a fuzzy environment, Mathematical and Computer Modelling, 45, 2007, 324–339.10.1016/j.mcm.2006.05.006
- [25] S. Rouhani, M. Ghazanfari, M. Jafari, Evaluation model of business intelligence for enterprise systems using fuzzy TOPSIS, Expert Systems with Applications, 39, 2012, 3764–3771.10.1016/j.eswa.2011.09.074
- [26] Y.M. Wang, Y. Luo, Z.-S. Hua, A note on group decision-making based on concepts of ideal and anti-ideal points in a fuzzy environment, Mathematical and Computer Modelling, 46, 2007, 1256–1264.10.1016/j.mcm.2007.01.003
- [27] A. Zouggari, L. Benyoucef, Simulation based fuzzy TOPSIS approach for group multi-criteria supplier selection problem, Engineering Applications of Artificial Intelligence, 25, 2012, 507–519.10.1016/j.engappai.2011.10.012
- [28] L. Dymova, P, Sevastjanov, A. Tikhonenko, An approach to generalization of fuzzy TOPSIS method, Information Sciences, 238, 2013, 149–162.10.1016/j.ins.2013.02.049
- [29] K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 1986, 87–96.10.1016/S0165-0114(86)80034-3
- [30] D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk, H. Prade, Terminological difficulties in fuzzy set theory-The case of “Intuitionistic Fuzzy Sets”, Fuzzy Sets and Systems, 156, 2005, 485–491.10.1016/j.fss.2005.06.001
- [31] A. Karaşan, C. Kahraman, A novel intuitionistic fuzzy DEMATEL – ANP – TOPSIS integrated methodology for freight village location selection, Journal of Intelligent and Fuzzy Systems, 36(2), 2019, 1335–1352.10.3233/JIFS-17169
- [32] F.E. Boran, S.Genç, M.Kurt, D. Akay, A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method, Expert Systems with Applications, 36, 2009, 11363–11368.10.1016/j.eswa.2009.03.039
- [33] M. Li, L. Jin, J. Wang, A new MCDM method combining QFD with TOPSIS for knowledge management system selection from the user’s perspective in intuitionistic fuzzy environment, Expert Systems with Applications, 36, 2009, 11363–11368.
- [34] R. Lourenzutti, A. Krohling, The Hellinger distance in Multicriteria Decision Making: An illustration to the TOPSIS and TODIM methods, Expert Systems with Applications, 41, 2014, 4414–4421.10.1016/j.eswa.2014.01.015
- [35] Z. Xu, X. Zhang, Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information, Knowledge-Based Systems, 52, 2013, 53–64.10.1016/j.knosys.2013.05.011
- [36] F. Ye, An extended TOPSIS method with interval-valued intuitionistic fuzzy numbers for virtual enterprise partner selection, Expert Systems with Applications, 37, 2010, 7050–7055.10.1016/j.eswa.2010.03.013
- [37] H. Zhang, L.Yu, MADM method based on cross-entropy and extended TOPSIS with interval-valued intuitionistic fuzzy sets, Knowledge-Based Systems, 30, 2012, 115–120.10.1016/j.knosys.2012.01.003
- [38] H.-C. Liu, J.-X. You, M.-M. Shan, L.-N. Shao, Failure mode and effects analysis using intuitionistic fuzzy hybrid TOPSIS approach, Soft Computing, 19(4), 2015, 1085–1098.10.1007/s00500-014-1321-x
- [39] S.-M. Chen, S.-H. Cheng, T.-C. Lan, Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values, Information Sciences, 367–368, 2016, 279–295.10.1016/j.ins.2016.05.044
- [40] A. R. Mishra, P. Rani, D. Jain, Information measures based TOPSIS method for multicriteria decision making problem in intuitionistic fuzzy environment, Iranian Journal of Fuzzy Systems, 14, 2017, 41–63.
- [41] G. Dwivedi, R.K. Srivastava, S.K. Srivastava, A generalised fuzzy TOPSIS with improved closeness coefficient, Expert Systems with Applications, 96, 2018, 185–195.10.1016/j.eswa.2017.11.051
- [42] S. Xian, Z. Yang, H. Guo, Double parameters TOPSIS for multi-attribute linguistic group decision making based on the intuitionistic Z-linguistic variables, Applied Soft Computing, 85, 2019, 105835.10.1016/j.asoc.2019.105835
- [43] L. Zhang, J. Zhan, Y. Yao, Intuitionistic fuzzy TOPSIS method based on CVPIFRS models: An application to biomedical problem, Information Sciences, 517, 2020, 315–339.10.1016/j.ins.2020.01.003
- [44] X. Zhang, Z. Xu, Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making, Applied Soft Computing, 26, 2015, 42–56.10.1016/j.asoc.2014.08.073
- [45] D. Joshi, S. Kumar, Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making, European Journal of Operational Research, 248, 2016, 183–191.10.1016/j.ejor.2015.06.047
- [46] C.-Y. Wang, S.-M. Chen, Multiple attribute decision making based on interval-valued intuitionistic fuzzy sets, linear programming methodology, and the extended TOPSIS method, Information Sciences, 397–398, 2017, 155–167.10.1016/j.ins.2017.02.045
- [47] P. Gupta, M. K. Mehlawat, N. Grover, W. Pedrycz, Multi-attribute group decision making based on extended TOPSIS method under interval-valued intuitionistic fuzzy environment, Applied Soft Computing, 69, 2018, 554–567.10.1016/j.asoc.2018.04.032
- [48] P. Gupta, M. K. Mehlawat, N. Grover, A Generalized TOPSIS Method for Intuitionistic Fuzzy Multiple Attribute Group Decision Making Considering Different Scenarios of Attributes Weight Information, International Journal of Fuzzy Systems, 21, 2019, 369–387.10.1007/s40815-018-0563-7
- [49] P. Hajeka, W. Froelich, Integrating TOPSIS with interval-valued intuitionistic fuzzy cognitive maps for effective group decision making, Information Sciences, 485, 2019, 394–412.10.1016/j.ins.2019.02.035
- [50] S. Zeng, S.-M. Chen, K.-Y. Fan, Interval-valued intuitionistic fuzzy multiple attribute decision making based on nonlinear programming methodology and TOPSIS method, Information Sciences, 506, 2020, 424–442.10.1016/j.ins.2019.08.027
- [51] F. Dammaka, L. Baccour, A.M. Alimia, A new ranking method for TOPSIS and VIKOR under interval valued intuitionistic fuzzy sets and possibility measures, Journal of Intelligent and Fuzzy Systems, 38, 2020, 4459–4469.10.3233/JIFS-191223
- [52] Z. Xu, Intuitionistic fuzzy aggregation operators, IEEE Transactions on Fuzzy Systems, 15, 2007, 1179–1183.10.1109/TFUZZ.2006.890678
- [53] Z. Xu, R. Yager, Some geometric aggregation operators based on intuitionistic fuzzy sets, International Journal of General Systems, 35(4), 2006, 417–433.10.1080/03081070600574353
- [54] Z. Xu, Intuitionistic preference relations and their application in group decision making, Information Sciences, 177, 2007, 2363–2379.10.1016/j.ins.2006.12.019
- [55] J.H. Park, I.Y. Park, Y.C. Kwun, X. Tan, Extension of the TOPSIS method for decision making problems under interval-valued intuitionistic fuzzy environment, Applied Mathematical Modelling, 35(5), 2011, 2544–2556.10.1016/j.apm.2010.11.025
- [56] C. Tan, A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS, Expert Systems with Applications, 38, 2011, 3023–3033.10.1016/j.eswa.2010.08.092
- [57] L. Dymova, P. Sevastjanov, The operations on intuitionistic fuzzy values in the framework of Dempster-Shafer theory, Knowledge-Based Systems, 35, 2012, 132–143.10.1016/j.knosys.2012.04.026
- [58] L. Dymova, P. Sevastjanov, An interpretation of intuitionistic fuzzy sets in terms of evidence theory. Decision making aspect, Knowledge-Based Systems, 23, 2010, 772–782.10.1016/j.knosys.2010.04.014
- [59] L. Dymova, P. Sevastjanov, The operations on interval-valued intuitionistic fuzzy values in the framework of Dempster-Shafer theory, Information Sciences, 360, 2016, 256–272.10.1016/j.ins.2016.04.038
- [60] K. Atanassov, Review and new results on intuitionistic fuzzy sets, Preprint IM-MFAIS-1-88, Sofia, 1988.10.1016/0165-0114(89)90215-7
- [61] K.T. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, 1989, 343–349.10.1016/0165-0114(89)90205-4
- [62] M.S. Yang, Z. Hussain, M. Ali, Belief and plausibility measures on intuitionistic fuzzy sets with construction of belief-plausibility TOPSIS, Complexity, 2020, 7849686.10.1155/2020/7849686
- [63] W. Silvert, Ecological impact classification with fuzzy sets, Ecological Modelling, 96, 1997, 1–10.10.1016/S0304-3800(96)00051-8
- [64] P. Sevastjanov, P. Figat, Aggregation of aggregating modes in MCDM. Synthesis of Type 2 and Level 2 fuzzy sets, Omega, 35, 2007, 505–523.10.1016/j.omega.2005.09.005
- [65] K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61, 1994, 137–142.10.1016/0165-0114(94)90229-1
- [66] S.K. Dey, R. Biswas, A.R. Roy, Some operations on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114, 2000, 477–484.10.1016/S0165-0114(98)00191-2
- [67] S.M. Chen, J.M. Tan, Handling multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems, 67, 1994, 163–172.10.1016/0165-0114(94)90084-1
- [68] D.H. Hong, C.-H. Choi, Multicriteria fuzzy decision-making problems based on vague set theory, Fuzzy Sets and Systems, 114, 2000, 103–113.10.1016/S0165-0114(98)00271-1
- [69] A.P. Dempster, Upper and lower probabilities induced by a muilti-valued mapping, Ann. Math. Stat. 38, 1967, 325–339.10.1214/aoms/1177698950
- [70] A.P. Dempster, A generalization of Bayesian inference (with discussion), J. Roy. Stat. Soc., Series B., 30(2), 1968, 208–247.10.1111/j.2517-6161.1968.tb00722.x
- [71] G. Shafer, A mathematical theory of evidence, Princeton, Princeton University Press, 1976.
- [72] P. Vasseur, C. Pegard, E. Mouad, L. Delahoche, Perceptual organization approach based on Dempster-Shafer theory, Pattern Recognition, 32, 1999, 1449–1462.10.1016/S0031-3203(98)00172-1
- [73] Y.M. Wang, J.B. Yang, D.L. Xu, A preference aggregation method through the estimation of utility intervals, Computers and Operations Research, 32, 2005, 2027–2049.10.1016/j.cor.2004.01.005
- [74] P. Sevastjanov, Numerical methods for interval and fuzzy number comparison based on the probabilistic approach and Dempster-Shafer theory, Information Sciences, 177, 2007, 4645–4661.10.1016/j.ins.2007.05.001
- [75] X. Wang, E.E. Kerre, Reasonable properties for the ordering of fuzzy quantities (I) (II), Fuzzy Sets and Systems, 112, 2001, 387–405.10.1016/S0165-0114(99)00063-9
- [76] G. Facchinetti, R.G. Ricci, S. Muzzioli, Note on ranking fuzzy triangular numbers, International Journal of Intelligent Systems, 13, 1998, 613–622.10.1002/(SICI)1098-111X(199807)13:7<613::AID-INT2>3.0.CO;2-N
- [77] Y.M. Wang, J.B. Yang, D.L. Xu, A preference aggregation method through the estimation of utility intervals, Computers and Operations Research, 32, 2005, 2027–2049.10.1016/j.cor.2004.01.005
- [78] Y.M. Wang, J.B. Yang, D.L. Xu, A two-stage logarithmic goal programming method for generating weights from interval comparison matrices, Fuzzy Sets and Systems, 152, 2005, 475–498.10.1016/j.fss.2004.10.020
- [79] Z. Xu, Q. Da, The uncertain OWA operator, International Journal of Intelligent Systems, 17, 2002, 569–575.10.1002/int.10038
- [80] Z. Xu, J. Chen, Some models for deriving the priority weights from interval fuzzy preference relations, European Journal of Operational Research, 184, 2008, 266–280.10.1016/j.ejor.2006.11.011
- [81] P. Sevastjanov, P. Rog, Two-objective method for crisp and fuzzy interval comparison in optimization, Computers and Operations Research, 33, 2006, 115–131.10.1016/j.cor.2004.07.002
- [82] R. Yager, Multiple objective decision-making using fuzzy sets, International Journal of Man-Machine Studies, 9, 1979, 375–382.10.1016/S0020-7373(77)80008-4
- [83] H.J. Zimmermann, P. Zysno, Latest connectives in human decision making, Fuzzy Sets and Systems, 4, 1980, 37–51.10.1016/0165-0114(80)90062-7
- [84] L. Dymova, P, Sevastjanov, A. Tikhonenko, A direct interval extension of TOPSIS method, Expert Systems with Applications, 40, 2013, 4841–4847.10.1016/j.eswa.2013.02.022
- [85] R.E. Moore, Interval analysis, Englewood Cliffs., N.J., Prentice-Hall, 1966.
- [86] L. Dimova, P. Sevastjanov, D. Sevastjanov, MCDM in a Fuzzy Setting: Investment Projects Assessment Application, Int. Journal of Production Economy, 100, 2006, 10–29.10.1016/j.ijpe.2004.09.014
- [87] L. Dymowa, Soft Computing in Economics and Finance, Springer, 2011.10.1007/978-3-642-17719-4
- [88] L. Dymova, P. Sevastjanov, Fuzzy Multiobjective Evaluation of Investments with Applications, in Fuzzy Engineering Economics with Applications. Cengiz Kahraman (Ed.), Springer-Verlag Berlin Heidelberg, 2008, 243–287.10.1007/978-3-540-70810-0_15
- [89] P. Sevastjanov, L. Dymova, Stock screening with use of multiple criteria decision making and optimization, Omega, 37, 2009, 659–671.10.1016/j.omega.2008.04.002
- [90] L.A. Zadeh, Quantitative fuzzy semantics, Information Sciences, 3, 1971, 177–200.10.1016/S0020-0255(71)80005-1