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On Relations Between Several Classes of Uninorms

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Quantitative Logic and Soft Computing 2016

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 510))

Abstract

Uninorms are an important class of aggregation functions in information aggregation. It is well known that there exist many different classes of uninorms in references. In this paper, the relationships among several classes of uninorms are discussed. Moreover, a complete characterization of the class of almost equitable uninorms is presented. As a byproduct, a characterization of the class of representable uninorms is obtained.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61403220, 61573211).

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Authors and Affiliations

  1. Faculty of Science, Qilu University of Technology, Ji’nan, 250353, Shandong, People’s Republic of China

    Gang Li

  2. School of Mathematics, Shandong University, Ji’nan, 250100, Shandong, People’s Republic of China

    Hua-Wen Liu

Authors
  1. Gang Li
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  2. Hua-Wen Liu
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Corresponding author

Correspondence to Gang Li .

Editor information

Editors and Affiliations

  1. Zhejiang, Zhejiang Sci-Tech University Zhejiang, Hangzhou, China

    Tai-He Fan

  2. Fujian, Jimei University Fujian, Xiamen, China

    Shui-Li Chen

  3. Zhejiang, Zhejiang Sci-Tech University Zhejiang, Hangzhou, China

    San-Min Wang

  4. Yanta, Shaanxi Normal University Yanta, Xi’an, China

    Yong-Ming Li

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Li, G., Liu, HW. (2017). On Relations Between Several Classes of Uninorms. In: Fan, TH., Chen, SL., Wang, SM., Li, YM. (eds) Quantitative Logic and Soft Computing 2016. Advances in Intelligent Systems and Computing, vol 510. Springer, Cham. https://doi.org/10.1007/978-3-319-46206-6_25

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46205-9

  • Online ISBN: 978-3-319-46206-6

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