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Some Results on Conditionally Subcancellative Triangular Subnorms

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Fuzzy Sets and Operations Research (ICFIE 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 872))

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Abstract

Subcancellative triangular subnorms have been taken as aggregation functions and applied in multicriteria decision making. In this paper, the class of conditionally subcancellative triangular subnorms is introduced and its full characterization is given through a functional equation. Furthermore, we give the sufficient and necessary conditions under which such triangular subnorms become triangular norms.

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Acknowledgements

Thanks to the support by National Natural Science Foundation of China (No. 61403220 and No. 61573211).

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Authors and Affiliations

  1. Faculty of Science, Qilu University of Technology, Ji’nan, 250353, China

    Gang Li

  2. School of Statistics, Shandong University of Finance and Economics, Ji’nan, 250100, China

    Zhenbo Li

  3. School of Mathematics, Shandong University, Ji’nan, 250100, China

    Hua-Wen Liu

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

Correspondence to Gang Li .

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Editors and Affiliations

  1. Foshan University, Foshan, Guangdong, China

    Bing-Yuan Cao

  2. School of Mathematics and Information Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Li, G., Li, Z., Liu, HW. (2019). Some Results on Conditionally Subcancellative Triangular Subnorms. In: Cao, BY., Zhong, YB. (eds) Fuzzy Sets and Operations Research. ICFIE 2017. Advances in Intelligent Systems and Computing, vol 872. Springer, Cham. https://doi.org/10.1007/978-3-030-02777-3_17

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