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Quintuple Implication Principle on Intuitionistic Fuzzy Sets

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Advances in Artificial Intelligence and Security (ICAIS 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1586))

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Abstract

Intuitionistic fuzzy inference Quintuple Implication Principle methods are discussed. Using the properties of the intuitionistic triangular module generated by the left continuous triangular module, the equivalent relationship between the residual intuitionistic implication operator associated with the intuitionistic triangular module and the correlation operator of the residual implication operator is given, and the fuzzy inference model of the Quintuple Implication Principle is proposed, The expression and decomposition formula of the solution of quintuple I algorithm for intuitionistic fuzzy reasoning are given and their reducibility is discussed. It is proved that the quintuple I algorithm has good reducibility in theory. Finally, the α-quintuple I algorithm based on IFMP problem is given, and the numerical examples of quintuple I algorithm and α- quintuple I algorithm are given.

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Acknowledgement

We are grateful to the peoples for the support and encouragement.

Funding

This work was supported by the National Natural Science Foundation of China (no. 61966014), in part by the Innovation Project Foundation of Jishou University, China, under Grant JGY202119 and Grant JGY202117, in part by the Natural Science Foundation of Jishou University, China, under Grant Jdx19033 and Grant Jdy21065, in part by the National college student innovation and entrepreneurship Projects of China (no. 202110531019).

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Authors and Affiliations

  1. College of Information Science and Engineering, Jishou University, Jishou, 416000, China

    Shui-Ling Zeng & Li-Xiang Lei

Authors
  1. Shui-Ling Zeng
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  2. Li-Xiang Lei
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Corresponding author

Correspondence to Shui-Ling Zeng .

Editor information

Editors and Affiliations

  1. Nanjing University of Information Science and Technology, Nanjing, China

    Xingming Sun

  2. Nanjing University of Information Science and Technology, Nanjing, China

    Xiaorui Zhang

  3. Jinan University, Guangzhou, China

    Zhihua Xia

  4. Purdue University, West Lafayette, IN, USA

    Elisa Bertino

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Zeng, SL., Lei, LX. (2022). Quintuple Implication Principle on Intuitionistic Fuzzy Sets. In: Sun, X., Zhang, X., Xia, Z., Bertino, E. (eds) Advances in Artificial Intelligence and Security. ICAIS 2022. Communications in Computer and Information Science, vol 1586. Springer, Cham. https://doi.org/10.1007/978-3-031-06767-9_48

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  • DOI: https://doi.org/10.1007/978-3-031-06767-9_48

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-06766-2

  • Online ISBN: 978-3-031-06767-9

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