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Multiple Fuzzy Implications and Their Generating Methods

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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

By means of multiple iteration about the first variable of a known fuzzy implication, a new fuzzy implication is introduced. It is proved that the new implication preserves some important properties of the original implication. These properties include the identity principle (IP), the left neutrality property (NP), the exchange principle (EP), and so on. Based on this idea, by considering multiple iteration about the second variable of the known fuzzy implications, another new kind of fuzzy implications are similarly introduced, main properties of this kind of new implications are analyzed. This work is beneficial to enhance applications of fuzzy implications in other fields.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (No. 11171308; 61379018; 61472471; 51305400).

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Authors and Affiliations

  1. School of Science, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Fang Li & Dao-Wu Pei

Authors
  1. Fang Li
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  2. Dao-Wu Pei
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Corresponding author

Correspondence to Dao-Wu Pei .

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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, F., Pei, DW. (2017). Multiple Fuzzy Implications and Their Generating Methods. 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_27

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46205-9

  • Online ISBN: 978-3-319-46206-6

  • eBook Packages: EngineeringEngineering (R0)

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