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Intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging operator and its application to take targeted measures in poverty alleviation

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Abstract

Multiple attribute decision making (MADM) problem is a common issue and to take targeted measures in poverty alleviation (TPA) is one of the typical MADM problem. Aggregation operator, which is significant in MADM problem, attracts many attentions in the intuitionistic fuzzy linguistic environment. In this paper, we introduce the intuitionistic fuzzy linguistic induced generalized ordered weighted averaging (IFLIGOWA) operator to provide a wide range of operators to aggregate the intuitionistic fuzzy linguistic information. Then, the new intuitionistic fuzzy linguistic entropy which takes all schemes into account is presented. Subsequently, we propose the intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging (IFLIGHWA) operator whose weight vector is associated with both entropic weights and subjective weights. The properties of the IFLIGHWA operator are also studied. Eventually, the method based on the IFLIGHWA operator for MADM problem is presented and a numerical example about TPA is used to illustrate effectiveness of proposed method.

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Acknowledgements

The authors express their gratitude to the Editor and the anonymous Reviewers for their valuable and constructive comments. And this work was supported by the Chongqing Social Science Planning Project (No.2018YB SH085), the Graduate Teaching Reform Research Program of Chongqing Municipal Education Commission (No.YJG183074), the Major entrustment projects of the Chongqing Bureau of quality and technology supervision (No.CQZJZD2018001),the Science and Technology Research Project of Chongqing Municipal Education Commission (No.KJQN201800624) and the Chongqing research and innovation project of graduate students (No.CYS18252).

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Correspondence to Sidong Xian.

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Xian, S., Guo, H. & Chai, J. Intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging operator and its application to take targeted measures in poverty alleviation . Comp. Appl. Math. 38, 134 (2019). https://doi.org/10.1007/s40314-019-0902-9

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Keywords

  • Multiple attribute decision making
  • Take targeted measures in poverty alleviation
  • Intuitionistic fuzzy linguistic entropy
  • Intuitionistic fuzzy linguistic induced generalized hybrid weighted averaging operator

Mathematics Subject Classification

  • 90B50
  • 91B06
  • 90C70