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Aggregation of S-generalized Distances

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Advanced Intelligent Computing Technology and Applications (ICIC 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14090))

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Abstract

Aggregation function is a technique of combining a collection of data from several sources into a representative one value. In recent years, fuzzy binary relations and S-generalized distances have become the objects of aggregation functions. Applications of S-generalized distances are common in the domains of computer science and management of databases. In this paper, we deal with the S-generalized distance aggregation, which merge a family of \(S_i\)-generalized distances into a new S-generalized distance. As a result, we characterize these aggregation functions by meaning of extended dominance and S-triangle triple. Furthermore, we tackle the case: \(S_i\) and S are strict t-conorms.

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Acknowledgements

This work is supported by National Natural Science Foundation of China under Grant 61977040 and Natural Science Foundation of Shandong Province under Grant ZR2019MF055.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China

    Lijun Sun, Chen Zhao & Gang Li

Authors
  1. Lijun Sun
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  2. Chen Zhao
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  3. Gang Li
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Corresponding author

Correspondence to Gang Li .

Editor information

Editors and Affiliations

  1. Department of Computer Science, Eastern Institute of Technology, Zhejiang, China

    De-Shuang Huang

  2. University of Wollongong, North Wollongong, NSW, Australia

    Prashan Premaratne

  3. Zhengzhou University of Light Industry, Zhengzhou, China

    Baohua Jin

  4. Zhong Yuan University of Technology, Zhengzhou, China

    Boyang Qu

  5. University of Ulsan, Ulsan, Korea (Republic of)

    Kang-Hyun Jo

  6. Department of Computer Science, Liverpool John Moores University, Liverpool, UK

    Abir Hussain

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Sun, L., Zhao, C., Li, G. (2023). Aggregation of S-generalized Distances. In: Huang, DS., Premaratne, P., Jin, B., Qu, B., Jo, KH., Hussain, A. (eds) Advanced Intelligent Computing Technology and Applications. ICIC 2023. Lecture Notes in Computer Science(), vol 14090. Springer, Singapore. https://doi.org/10.1007/978-981-99-4761-4_45

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  • DOI: https://doi.org/10.1007/978-981-99-4761-4_45

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-4760-7

  • Online ISBN: 978-981-99-4761-4

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