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Intuitionistic fuzzy social network position and role analysis

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Abstract

In social network analysis, the attribute values of actors and their relationship values are only expressed as 0 and 1. In reality, there are both cooperation and competition among actors, and their attribute values and relationship values are more complicated. The intuitionistic fuzzy number is used to construct the attribute values and the relationship values between actors in social network. The concept of position, role and equivalence in intuitionistic fuzzy social network is redefined. The position and role analysis method of intuitionistic fuzzy social network is therefore proposed. Finally, a numerical case is used to demonstrate the efficiency and feasibility of the theory in this paper.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 71001075 and No. 61471090), and the Fundamental Research Funds for the Central Universities (Grant No. skqy201739).

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Authors and Affiliations

  1. Business School, Sichuan University, No. 24 Southern Yihuan Code, Chengdu, 610064, China

    Hua Wang, Maozhu Jin & Peiyu Ren

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  1. Hua Wang
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  2. Maozhu Jin
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  3. Peiyu Ren
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Correspondence to Maozhu Jin.

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Wang, H., Jin, M. & Ren, P. Intuitionistic fuzzy social network position and role analysis. Cluster Comput 22 (Suppl 4), 8099–8108 (2019). https://doi.org/10.1007/s10586-017-1633-6

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  • DOI: https://doi.org/10.1007/s10586-017-1633-6

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