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2-Tuple linguistic soft set and its application to group decision making

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Abstract

The aim of this paper is to put forward the 2-tuple linguistic soft set by combining the concepts of 2-tuple linguistic term set and soft set. The traditional set operations and corresponding properties are investigated. We develop the algebraic operations and discuss their corresponding properties based on which we introduce the applications of this theory in solving decision making problems. Four algorithms using the notion of 2-tuple linguistic soft information aggregation function are developed to handle group decision making problem. Finally, a selection problem of investment strategy is shown to illustrate the feasibility and validity of our approach.

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Acknowledgments

The work was supported by National Natural Science Foundation of China (71371011, 71301001, 71071002), Higher School Specialized Research Fund for the Doctoral Program (No. 20123401110001), The Scientific Research Foundation of the Returned Overseas Chinese Scholars, Anhui Provincial Natural Science Foundation (No. 1308085QG127), Provincial Natural Science Research Project of Anhui Colleges (No. KJ2012A026), Humanities and social science Research Project of Department of Education of Anhui Province (No. SK2013B041), Humanity and Social Science Youth foundation of Ministry of Education (13YJC630092).

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Authors and Affiliations

  1. School of Mathematical Science, Anhui University, Hefei, 230601, Anhui, China

    Zhifu Tao, Huayou Chen & Ligang Zhou

  2. School of Business, Anhui university, Hefei, 230601, Anhui, China

    Jinpei Liu

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  1. Zhifu Tao
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  2. Huayou Chen
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  3. Ligang Zhou
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  4. Jinpei Liu
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Correspondence to Huayou Chen.

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Communicated by V. Loia.

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Tao, Z., Chen, H., Zhou, L. et al. 2-Tuple linguistic soft set and its application to group decision making. Soft Comput 19, 1201–1213 (2015). https://doi.org/10.1007/s00500-014-1335-4

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