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2018 | OriginalPaper | Buchkapitel

Hesitant Fuzzy Linguistic Group Decision Making with Borda Rule

verfasst von : Xiaomei Mi, Huchang Liao

Erschienen in: Group Decision and Negotiation in an Uncertain World

Verlag: Springer International Publishing

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Abstract

Hesitant fuzzy linguistic term set is an efficient tool to represent human thinking in decision making process. Borda rule is a powerful approach to aggregate opinions of a group members and it has been extended to several versions. In this paper, we investigate the Borda rule in the hesitant fuzzy linguistic context from both broad and narrow perspectives which are based on the possibility degree and the score function of the hesitant fuzzy linguistic term set. Moreover, we take into account the confidence level of linguistic evaluations with a parameter being generated from the evaluations. Finally, a numerical example is given to illustrate the efficiency of the Borda rule in group decision making within hesitant fuzzy linguistic information.

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Literatur
1.
Zurück zum Zitat Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8(3), 199–249 (1975)CrossRef Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8(3), 199–249 (1975)CrossRef
3.
Zurück zum Zitat Rodriguez, R.M., Martinez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20(1), 109–119 (2012)CrossRef Rodriguez, R.M., Martinez, L., Herrera, F.: Hesitant fuzzy linguistic term sets for decision making. IEEE Trans. Fuzzy Syst. 20(1), 109–119 (2012)CrossRef
4.
Zurück zum Zitat Liao, H.C., Xu, Z.S., Zeng, X.J., Merigó, J.M.: Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl. Based Syst. 76, 127–138 (2015)CrossRef Liao, H.C., Xu, Z.S., Zeng, X.J., Merigó, J.M.: Qualitative decision making with correlation coefficients of hesitant fuzzy linguistic term sets. Knowl. Based Syst. 76, 127–138 (2015)CrossRef
5.
Zurück zum Zitat Liao, H.C., Xu, Z.S., Zeng, X.J.: Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans. Fuzzy Syst. 23(5), 1343–1355 (2015)CrossRef Liao, H.C., Xu, Z.S., Zeng, X.J.: Hesitant fuzzy linguistic VIKOR method and its application in qualitative multiple criteria decision making. IEEE Trans. Fuzzy Syst. 23(5), 1343–1355 (2015)CrossRef
6.
Zurück zum Zitat Liao, H.C., Yang, L.Y., Xu, Z.S.: Two new approaches based on ELECTRE II to solve the multiple criteria decision making problems with hesitant fuzzy linguistic term sets. Appl. Soft Comput. 63, 223–234 (2018)CrossRef Liao, H.C., Yang, L.Y., Xu, Z.S.: Two new approaches based on ELECTRE II to solve the multiple criteria decision making problems with hesitant fuzzy linguistic term sets. Appl. Soft Comput. 63, 223–234 (2018)CrossRef
7.
Zurück zum Zitat Borda, J.C.: Mémoire sur les Élections au Scrutin, Histoire de l, Académie Royale des Sciences. Paris, France (1781) Borda, J.C.: Mémoire sur les Élections au Scrutin, Histoire de l, Académie Royale des Sciences. Paris, France (1781)
8.
Zurück zum Zitat García-Lapresta, J.L., Martínez-Panero, M.: Borda count versus approval voting: a fuzzy approach. Public Choice 112(1), 167–184 (2002)CrossRef García-Lapresta, J.L., Martínez-Panero, M.: Borda count versus approval voting: a fuzzy approach. Public Choice 112(1), 167–184 (2002)CrossRef
9.
Zurück zum Zitat Khalid, A., Beg, I.: Incomplete hesitant fuzzy preference relations in group decision making. Int. J. Fuzzy Syst. 19(3), 637–645 (2017)CrossRef Khalid, A., Beg, I.: Incomplete hesitant fuzzy preference relations in group decision making. Int. J. Fuzzy Syst. 19(3), 637–645 (2017)CrossRef
10.
Zurück zum Zitat García-Lapresta, J.L., Martínez-Panero, M., Meneses, L.C.: Defining the Borda count in a linguistic decision making context. Inf. Sci. 179(14), 2309–2316 (2009)CrossRef García-Lapresta, J.L., Martínez-Panero, M., Meneses, L.C.: Defining the Borda count in a linguistic decision making context. Inf. Sci. 179(14), 2309–2316 (2009)CrossRef
11.
Zurück zum Zitat Hesamian, G., Shams, M.: Measuring similarity and ordering based on hesitant fuzzy linguistic term sets. J. Intell. Fuzzy Syst. 28, 983–990 (2015) Hesamian, G., Shams, M.: Measuring similarity and ordering based on hesitant fuzzy linguistic term sets. J. Intell. Fuzzy Syst. 28, 983–990 (2015)
12.
Zurück zum Zitat Zeyuan, Q., Dosskey, M.G., Kang, Y.: Choosing between alternative placement strategies for conservation buffers using Borda count. Landscape Urban Plann. 153, 66–73 (2016)CrossRef Zeyuan, Q., Dosskey, M.G., Kang, Y.: Choosing between alternative placement strategies for conservation buffers using Borda count. Landscape Urban Plann. 153, 66–73 (2016)CrossRef
13.
Zurück zum Zitat Jin, Z., Qiu, Z.: An improved fuzzy Borda count and its application to watershed management. In: International Conference on Renewable Energy and Environmental Technology (2017) Jin, Z., Qiu, Z.: An improved fuzzy Borda count and its application to watershed management. In: International Conference on Renewable Energy and Environmental Technology (2017)
14.
Zurück zum Zitat Harrison, C., Amento, B., Kuznetsov, S., Bell, R.: Rethinking the progress bar. In: ACM Symposium on User Interface Software and Technology, Newport, Rhode Island, USA, October, pp. 115–118. DBLP (2007) Harrison, C., Amento, B., Kuznetsov, S., Bell, R.: Rethinking the progress bar. In: ACM Symposium on User Interface Software and Technology, Newport, Rhode Island, USA, October, pp. 115–118. DBLP (2007)
15.
Zurück zum Zitat Wu, X.L., Liao, H.C.: An approach to quality function deployment based on probabilistic linguistic term sets and ORESTE method for multi-expert multi-criteria decision making. Inf. Fusion 43, 13–26 (2018)CrossRef Wu, X.L., Liao, H.C.: An approach to quality function deployment based on probabilistic linguistic term sets and ORESTE method for multi-expert multi-criteria decision making. Inf. Fusion 43, 13–26 (2018)CrossRef
Metadaten
Titel
Hesitant Fuzzy Linguistic Group Decision Making with Borda Rule
verfasst von
Xiaomei Mi
Huchang Liao
Copyright-Jahr
2018
DOI
https://doi.org/10.1007/978-3-319-92874-6_1