Abstract
Due to the uncertainty and fuzziness of the real world, the dual hesitant fuzzy set (DHFS) has been proposed to express uncertain information during the process of multi-attribute decision making (MADM). In order to process the information with incomplete dual hesitant fuzzy elements (IDHFEs) in MADM, a new similarity degree for MADM with incomplete dual hesitant fuzzy sets (IDHFSs) is proposed. The concept of similarity degree of IDHFEs and similarity aggregation matrix are introduced. Then a complete dual hesitant fuzzy matrix (CDHFM) is obtained by using the maximum similarity to complement the data. An investment selection example is provided to illustrate the validity and applicability of the proposed method.
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References
Dyer, J.S., Fishburn, P.C.: Multiple criteria decision making, multiattribute utility theory: the next ten years. Manag. Sci. 38(5), 645–654 (1992)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Cao, Q., Wu, J.: The extended COWG operators and their application to multiple attributive group decision making problems with interval numbers. Appl. Math. Model. 35(5), 2075–2086 (2011)
Wan, S., Li, D.: Fuzzy mathematical programming approach to heterogeneous multiattribute decision-making with interval-valued intuitionistic fuzzy truth degrees. Inf. Sci. 325, 484–503 (2015)
Joshi, D., Kumar, S.: Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making. Eur. J. Oper. Res. 248(1), 183–191 (2016)
Torra, V., Narukawa, Y.: On hesitant fuzzy sets and decision. In: IEEE International Conference on Fuzzy Systems, pp. 1378–1382 (2009)
Torra, V.: Hesitant fuzzy sets. Int. J. Intell. Syst. 25(6), 529–539 (2010)
Zhu, B., Xu, Z., Xia, M.: Dual hesitant fuzzy sets. J. Appl. Math. 2012(11), 2607–2645 (2012)
Herreraviedma, E., Herrera, F., Chiclana, F., Luque, M.S.: Some issues on consistency of fuzzy preference relations. Eur. J. Oper. Res. 154(1), 98–109 (2004)
Xu, Z., Xia, M.: On distance and correlation measures of hesitant fuzzy information. Int. J. Intell. Syst. 26(5), 410–425 (2011)
Xu, Z., Xia, M.: Distance and similarity measures for hesitant fuzzy sets. Inf. Sci. 181(11), 2128–2138 (2011)
Zhang, Z.: Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making. Inf. Sci. 234(10), 150–181 (2013)
Xia, M., Xu, Z.: Hesitant fuzzy information aggregation in decision making. Int. J. Approx. Reason. 52(3), 395–407 (2011)
Lin, R., Zhao, X., Wei, G.: Models for selecting an ERP system with hesitant fuzzy linguistic information. J. Intell. Fuzzy Syst. 26(5), 2155–2165 (2014)
Wang, J., Wang, J., Zhang, H., Chen, X.: Multi-criteria group decision-making approach based on 2-tuple linguistic aggregation operators with multi-hesitant fuzzy linguistic information. Int. J. Fuzzy Syst. 18(1), 81–97 (2015)
Singh, P.: Distance and similarity measures for multiple-attribute decision making with dual hesitant fuzzy sets. Comput. Appl. Math. 36, 1–16 (2015)
Zhao, N., Xu, Z., Liu, F.: Group decision making with dual hesitant fuzzy preference relations. Cogn. Comput. 8, 1–25 (2016)
Acknowledgments
This work is partially supported by the National Natural Science Foundation of P. R. China (Nos. 61772250, 61673320, 61672127), the Fundamental Research Funds for the Central Universities (No. 2682017ZT12), and the National Natural Science Foundation of Liaoning Province (No. 2015020059).
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Liu, X., Shi, Y., Zou, L., Luo, S. (2017). Similarity Degree for Multi-Attribute Decision Making with Incomplete Dual Hesitant Fuzzy Sets. In: Sun, Y., Lu, H., Zhang, L., Yang, J., Huang, H. (eds) Intelligence Science and Big Data Engineering. IScIDE 2017. Lecture Notes in Computer Science(), vol 10559. Springer, Cham. https://doi.org/10.1007/978-3-319-67777-4_10
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DOI: https://doi.org/10.1007/978-3-319-67777-4_10
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