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Generalized G-Generated Implications

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Quantitative Logic and Soft Computing 2016

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 510))

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Abstract

A new class of fuzzy implications, which are called the generalized g-generated implications, generated from decreasing functions and g-generators, are proposed. This class of fuzzy implications are generalizations of g-generated implications proposed by Professor Yager in 2004. Naturally, some basic properties of these new fuzzy implications are investigated. The law of importation and the distributive equations for these fuzzy implications are studied in detail. Relations of this class of implications with other known fuzzy implications are discussed.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11171308, 51305400, 61379018 and 61472471).

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Authors and Affiliations

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

    Yue Zhu & Dao-Wu Pei

Authors
  1. Yue Zhu
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  2. Dao-Wu Pei
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Corresponding author

Correspondence to Dao-Wu Pei .

Editor information

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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Zhu, Y., Pei, DW. (2017). Generalized G-Generated Implications. 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_24

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_24

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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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