A Closeness Index-Based TODIM Method for Hesitant Qualitative Group Decision Making

Zhang, Xiaolu

doi:10.15388/Informatica.2017.145

Informatica

A Closeness Index-Based TODIM Method for Hesitant Qualitative Group Decision Making

Volume 28, Issue 3 (2017), pp. 565–581

Xiaolu Zhang

https://doi.org/10.15388/Informatica.2017.145

Pub. online: 1 January 2017 Type: Research Article

Open Access

Received
1 June 2016

Accepted
1 March 2017

Published
1 January 2017

Abstract

The purpose of this study is to develop a hesitant trapezoidal fuzzy TODIM (interactive and multi-criteria decision making) with a closeness index-based ranking method to handle hesitant qualitative group decision making problems. First, a novel closeness index-based ranking method is presented to compare the magnitude of hesitant trapezoidal fuzzy numbers (HTrFNs). Based on the developed ranking method, the dominance values of alternatives over others for each expert are calculated. Then, a nonlinear programming model is established to derive the dominance values of alternatives over others for the group and correspondingly the optimal ranking order of alternatives is obtained.

References

Abbasbandy, S., Asady, B. (2006). Ranking of fuzzy numbers by sign distance. Information Sciences, 176, 2405–2416.

Beg, I., Rashid, T. (2013). TOPSIS for hesitant fuzzy linguistic term sets. International Journal of Intelligent Systems, 28, 1162–1171.

Chen, S.-M., Hong, J.-A. (2014). Multicriteria linguistic decision making based on hesitant fuzzy linguistic term sets and the aggregation of fuzzy sets. Information Sciences, 286, 63–74.

Fan, Z.-P., Zhang, X., Chen, F.-D., Liu, Y. (2013). Extended TODIM method for hybrid multiple attribute decision making problems. Knowledge-Based Systems, 42, 40–48.

Figueira, J., Greco, S., Ehrgott, M. (2005). Multiple Criteria Decision Analysis: State of the Art Surveys, Vol. 78. Springer Science & Business Media.

Gomes, L.F.A.M., Lima, M.M.P.P. (1992). TODIM: Basics and application to multicriteria ranking of projects with environmental impacts. Foundations of Computing and Decision Sciences, 16, 113–127.

Gomes, L.F.A.M., Rangel, D. (2009). An application of the TODIM method to the multicriteria rental evaluation of residential properties. European Journal of Operational Research, 193, 204–211.

Gomes, L.F.A.M., Rangel, L.A.D., Maranhäo, F.J.C. (2009). Multicriteria analysis of natural gas destination in Brazil: an application of the TODIM method. Mathematical and Computer Modelling, 50, 92–100.

Gomes, L.F.A.M., Machado, M.A.S., Rangel, L.A.D. (2013). Behavioral multi-criteria decision analysis: the TODIM method with criteria interactions. Annals of Operations Research, 211, 531–548.

Herrera, F., Martínez, L. (2000). A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 8, 746–752.

Herrera, F., Alonso, S., Chiclana, F., Herrera-Viedma, E. (2009). Computing with words in decision making: foundations, trends and prospects. Fuzzy Optimization and Decision Making, 8, 337–364.

Hwang, C.L., Yoon, K.S. (1981). Multiple Attribute Decision Methods and Applications. Springer, Berlin, Heidelberg.

Kahneman, D., Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47, 263–291.

Kim, S.H., Ahn, B.S. (1999). Interactive group decision making procedure under incomplete information. European Journal of Operational Research, 116, 498–507.

Krohling, R.A., de Souza, T.T.M. (2012). Combining prospect theory and fuzzy numbers to multi-criteria decision making. Expert Systems with Applications, 39, 11487–11493.

Lee, L.-W., Chen, S.-M. (2015). Fuzzy decision making based on likelihood-based comparison relations of hesitant fuzzy linguistic term sets and hesitant fuzzy linguistic operators. Information Sciences, 294, 513–529.

Liou, J.J., Tsai, C.-Y., Lin, R.-H., Tzeng, G.-H. (2011). A modified VIKOR multiple-criteria decision method for improving domestic airlines service quality. Journal of Air Transport Management, 17, 57–61.

Liu, H.B., Rodriguez, R.M. (2014). A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making. Information Sciences, 258, 220–238.

Liu, P.D., Teng, F. (2016). An extended TODIM method for multiple attribute group decision-making based on 2-dimension uncertain linguistic Variable. Complexity, 21(5), 20–30.

Lourenzutti, R., Krohling, R.A. (2013). A study of TODIM in a intuitionistic fuzzy and random environment. Expert Systems with Applications, 40, 6459–6468.

Martínez, L., Herrera, F. (2012). An overview on the 2-tuple linguistic model for computing with words in decision making: extensions, applications and challenges. Information Sciences, 207, 1–18.

Passos, A.C., Teixeira, M.G., Garcia, K.C., Cardoso, A.M., Gomes, L.F.A.M. (2014). Using the TODIM-FSE method as a decision-making support methodology for oil spill response. Computers & Operations Research, 42, 40–48.

Rodriguez, R.M., Martínez, L. (2013). An analysis of symbolic linguistic computing models in decision making. International Journal of General Systems, 42, 121–136.

Rodriguez, R.M., Martínez, L., Herrera, F. (2012). Hesitant fuzzy linguistic term sets for decision making. IEEE Transactions on Fuzzy Systems, 20, 109–119.

Rodriguez, R.M., Martínez, L., Herrera, F. (2013). A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Information Sciences, 241, 28–42.

Türkşen, I.B. (2002). Type 2 representation and reasoning for CWW. Fuzzy Sets and Systems, 127, 17–36.

Tosun, Ö., Akyüz, G. (2015). A fuzzy TODIM approach for the supplier selection problem. International Journal of Computational Intelligence Systems, 8, 317–329.

Wan, S.-P., Li, D.-F. (2013). Fuzzy LINMAP approach to heterogeneous MADM considering comparisons of alternatives with hesitation degrees. Omega, 41, 925–940.

Wang, J.-H., Hao, J.J. (2006). A new version of 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Fuzzy Systems, 14, 435–445.

Wei, C., Ren, Z., Rodríguez, R.M. (2015). A hesitant fuzzy linguistic TODIM method based on a score function. International Journal of Computational Intelligence Systems, 8, 701–712.

Xu, Z.S. (2004). Uncertain Multiple Attribute Decision Making: Methods and Applications. Tsinghua University Press, Beijing.

Yager, R.R. (1995). An approach to ordinal decision making. International Journal of Approximate Reasoning, 12, 237–261.

Zadeh, L.A. (1975). The concept of a linguistic variable and its application to approximate reasoning Information Sciences, Parts I, II, III, 8(9), 199–249. 301–357, 143–180.

Zeng, S., Chen, J., Li, X. (2016a). A hybrid method for pythagorean fuzzy multiple-criteria decision making. International Journal of Information Technology & Decision Making, 15, 403–422.

Zeng, S., Su, W., Zhang, C. (2016b). Intuitionistic fuzzy generalized probabilistic ordered weighted averaging operator and its application to group decision making. Technological and Economic Development of Economy, 22, 177–193.

Zeng, S., Palacios-Marques, D., Zhu, F. (2016c). A new model for interactive group decision making with intuitionistic fuzzy preference relations. Informatica, 27(4), 911–928.

Zhang, X. (2015). An integrated maximizing consistency and multi-choice goal programming approach for hybrid multiple criteria group decision making based on interval-valued intuitionistic fuzzy number. Informatica, 26(4), 705–726.

Zhang, X., Xu, Z. (2014a). The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment. Knowledge-Based Systems, 61, 48–58.

Zhang, X., Xu, Z. (2014b). Interval programming method for hesitant fuzzy multi-attribute group decision making with incomplete preference over alternatives. Computers & Industrial Engineering, 75, 217–229.

Zhang, X., Xu, Z. (2015). Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making. Applied Soft Computing, 26, 42–56.

Zhang, X., Xu, Z., Wang, H. (2015). Heterogeneous multiple criteria group decision making with incomplete weight information: A deviation modeling approach. Information Fusion, 25, 49–62.

Zhang, X., Xu, Z., Liu, M. (2016). Hesitant trapezoidal fuzzy QUALIFLEX method and its application in the evaluation of green supply chain initiatives. Sustainability, 8(9), 952.

Zhao, X.F., Lin, R., Wei, G.W. (2014). Hesitant triangular fuzzy information aggregation based on Einstein operations and their application to multiple attribute decision making. Expert Systems with Applications, 41, 1086–1094.

Biographies

Zhang Xiaolu

xiaolu_jy@163.com

X. Zhang received the BS and MS degrees from Jiangxi University of Finance & Economics and the PhD degree from Southeast University, China, in 2009, 2011 and 2015. His current research interests include fuzzy multiple criteria decision making, clustering analysis and group decision making, etc. He has contributed several pertinent papers in Information Sciences, International Journal of Systems Science, Information Fusion, Knowledge-Based Systems, Applied Soft Computing, Computers & Industrial Engineering, INFORMATICA, OR Spectrum, and so on.

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Keywords

multi-criteria group decision making the TODIM method hesitant trapezoidal fuzzy numbers comparative linguistic expressions the closeness index

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