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Multiple-Attribute Group Decision-Making Method Based on the Linguistic Intuitionistic Fuzzy Density Hybrid Weighted Averaging Operator

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Abstract

Linguistic intuitionistic fuzzy number (LIFN) is characterized by the degrees of membership and non-membership which take the form of linguistic variables, so it can more easily describe the vague and imprecise information existing in the real decision-making problems. Density weighted averaging operator considers the density preference of information distribution, so it can produce the more reasonable decision results. In this paper, some arithmetic aggregation operators are combined with density weighted averaging operator under the linguistic intuitionistic fuzzy environment and some linguistic intuitionistic fuzzy density aggregation operators are proposed. Firstly, the related theories of LIFN have been reviewed briefly, and the method of calculating density weighted vector and the clustering method are presented. Then, some linguistic intuitionistic fuzzy density aggregation operators, such as linguistic intuitionistic fuzzy density weighted averaging operator, linguistic intuitionistic fuzzy density ordered weighted averaging operator, and linguistic intuitionistic fuzzy density hybrid weighted averaging (LIFDHWA) operator are proposed, and some properties are discussed. Moreover, a new group decision-making method based on LIFDHWA operator is proposed. Finally, an illustrative example is used to demonstrate the validity of the proposed method.

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Acknowledgements

We thank the editors who give us guidance for adding some essential contents.

Funding

This paper is supported by the National Natural Science Foundation of China (Nos. 71771140 and 71471172), the Special Funds of Taishan Scholars Project of Shandong Province (No. ts201511045), the Shandong Provincial Social Science Planning Project (Nos. 16CGLJ31 and 16CKJJ27) and the Science and Technology Project of Colleges and Universities of Shandong Province (No. J16LN25).

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Authors and Affiliations

  1. School of Management Science and Engineering, Shandong University of Finance and Economics, Jinan, Shandong, China

    Fei Teng & Peide Liu

Authors
  1. Fei Teng
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  2. Peide Liu
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Contributions

Fei Teng proposed the clustering method, illustrative example and comparison with the other method and wrote this paper; Peide Liu proposed the idea and frame of this paper, some operators and the MADM method, checked the whole manuscript for English, and provided the research fund.

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Correspondence to Peide Liu.

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We declare that we do have no commercial or associative interests that represent a conflict of interests in connection with this manuscript. There are no professional or other personal interests that can inappropriately influence our submitted work.

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Teng, F., Liu, P. Multiple-Attribute Group Decision-Making Method Based on the Linguistic Intuitionistic Fuzzy Density Hybrid Weighted Averaging Operator. Int. J. Fuzzy Syst. 21, 213–231 (2019). https://doi.org/10.1007/s40815-018-0526-z

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  • DOI: https://doi.org/10.1007/s40815-018-0526-z

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