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The construction of fuzzy linguistic attribute partial ordered structure diagram

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Abstract

In formal concept analysis, as a data visualization tool, attribute partial ordered structure diagram can effectively discover the partial order relationship between attributes. Numerous linguistically valued facts from the actual world have been modeled using the fuzzy linguistic approach. To make attribute partial ordered structure diagram more effective in handling fuzzy linguistic information, this paper proposes a fuzzy linguistic attribute partial ordered structure diagram (FL-APOSD) construction approach from the hierarchical and structural perspectives. Firstly, the linguistic truth-valued lattice implication algebra is applied as the fuzzy linguistic representation model to express comparable and incomparable evaluative linguistic expressions. Secondly, to express the complex linguistic relationships between objects and attributes, FL-APOSD is proposed to embed fuzzy linguistic information into an attribute partial ordered structure diagram based on a linguistic-valued formal context. Moreover, a FL-APOSD construction model is developed from the hierarchical and structural perspectives to represent the attribute partial order relation under the linguistic environment. Finally, the comparative analysis shows the effectiveness of the proposed model in expressing the linguistic expressions’ incompleteness, uncertainty, and incomparable characteristics.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (nos. 61976124, 62176142), the National Key R &D Program (no. 2018YFC1707703), and Special Foundation for Distinguished Professors of Shandong Jianzhu University.

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Authors and Affiliations

  1. School of Information Science and Technology, Dalian Maritime University, Dalian, 116026, China

    Kuo Pang & Mingyu Lu

  2. School of Computer Science and Technology, Shandong Jianzhu University, Jinan, 250101, China

    Li Zou

  3. Software Engineering Institute, East China Normal University, Shanghai, 200062, China

    Ning Kang

  4. School of Acupuncture-Moxibustion and Tuina, Shanghai University of Traditional Chinese Medicine, Shanghai, 201203, China

    Shaoxiong Li

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  1. Kuo Pang
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  2. Li Zou
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  3. Ning Kang
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  4. Shaoxiong Li
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  5. Mingyu Lu
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Correspondence to Shaoxiong Li or Mingyu Lu.

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Pang, K., Zou, L., Kang, N. et al. The construction of fuzzy linguistic attribute partial ordered structure diagram. Comp. Appl. Math. 42, 240 (2023). https://doi.org/10.1007/s40314-023-02360-4

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