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Some Results on the Dominance Relation Between Conjunctions and Disjunctions

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Intelligent Computing Methodologies (ICIC 2022)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13395))

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Abstract

The dominance relations on the class of aggregation operators have the vital application in various areas of science, including fuzzy set theory, probabilistic metric space. The dominance relations between conjunctions and disjunctions are studied in this paper. We characterize the conjunctions (disjunctions) which dominate all triangular conorms (triangular norms). Moreover, as a generalization of the dominance relation, the weak dominance relation between conjunctions and disjunctions is also discussed.

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Acknowledgements

This work is supported by National Nature 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

    Lizhu Zhang & Gang Li

Authors
  1. Lizhu Zhang
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  2. Gang Li
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Corresponding author

Correspondence to Gang Li .

Editor information

Editors and Affiliations

  1. Tongji University, Shanghai, China

    De-Shuang Huang

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

    Kang-Hyun Jo

  3. Xi’an Polytechnic University, Xi’an, China

    Junfeng Jing

  4. The University of Wollongong, North Wollongong, NSW, Australia

    Prashan Premaratne

  5. Polytecnic of Bari, Bari, Italy

    Vitoantonio Bevilacqua

  6. Liverpool John Moores University, Liverpool, UK

    Abir Hussain

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Zhang, L., Li, G. (2022). Some Results on the Dominance Relation Between Conjunctions and Disjunctions. In: Huang, DS., Jo, KH., Jing, J., Premaratne, P., Bevilacqua, V., Hussain, A. (eds) Intelligent Computing Methodologies. ICIC 2022. Lecture Notes in Computer Science(), vol 13395. Springer, Cham. https://doi.org/10.1007/978-3-031-13832-4_4

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  • DOI: https://doi.org/10.1007/978-3-031-13832-4_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-13831-7

  • Online ISBN: 978-3-031-13832-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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