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An approach to interval-valued intuitionistic uncertain linguistic multi-attribute group decision making

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Abstract

The purpose of this paper is to investigate interval-valued intuitionistic uncertain linguistic multi-attribute group decision making with incomplete weight information and interactive conditions. In order to obtain the comprehensive attribute values of alternatives, the induced generalized Shapley interval-valued intuitionistic uncertain linguistic hybrid Choquet averaging (IGS-IVIULHCA) operator is defined, which globally considers not only the importance of elements and the ordered positions but also their correlations. Based on gray relational analysis (GRA) method, models for the optimal fuzzy measures are constructed. Then, a new decision approach is developed, which considers the interactive characteristics between elements in a set. Finally, a numerical example is presented to illustrate the proposed approach and demonstrate its practicality and effectiveness.

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Acknowledgments

The authors first want to thank the Editor-in-Chief Professor XZ Wang and two anonymous referees for their constructive and valuable comments which have much improved the paper. This work was supported by the State Key Program of National Natural Science of China (No. 71431006), the Funds for Creative Research Groups of China (No. 71221061), the Projects of Major International Cooperation NSFC (No. 71210003), the National Natural Science Foundation of China (Nos. 71201089, 71271217, 71271029, and 71201110), the China Postdoctoral Science Special Foundation (2015T80901), the China Postdoctoral Science Foundation (2014M560655), and the Program for New Century Excellent Talents in University of China (No. NCET-12-0541).

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Authors and Affiliations

  1. School of Business, Central South University, Changsha, 410083, China

    Fanyong Meng & Xiaohong Chen

  2. School of Management, Qingdao Technological University, Qingdao, 266520, China

    Fanyong Meng

  3. School of Management and Economics, Beijing Institute of Technology, Beijing, 100081, China

    Qiang Zhang

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  1. Fanyong Meng
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Correspondence to Fanyong Meng.

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Meng, F., Chen, X. & Zhang, Q. An approach to interval-valued intuitionistic uncertain linguistic multi-attribute group decision making. Int. J. Mach. Learn. & Cyber. 6, 859–871 (2015). https://doi.org/10.1007/s13042-015-0401-2

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