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Quantitative Logic and Soft Computing 2016 pp 281–291Cite as

Extended Threshold Generation of a New Class of Fuzzy Implications

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

Abstract

The threshold generation of a new implication from two given ones is introduced by Massanet and Torrens. Along the lines of the ordinal sum method in the construction of fuzzy connectives, the paper deals with generalization of the e-threshold generation method by applying the scaling method in the second variable, which can generate some implications different from usual implications, such as f-, g-implications, R-implications, S-implications and the ones derived from the ordinal sum method. And generated implications are characterized.

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Acknowledgments

The work is supported by National Natural Science Foundation of China (Grants 61165014 and 61563020), Jiangxi Natural Science Foundation (Grant 20151BAB201019) and Project of Science and Technology of Educational Commission of Jiangxi Province of China(Grants GJJ151601 and GJJ151602). The authors are grateful to the anonymous referees for their comments to improve the paper.

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Authors and Affiliations

  1. College of Modern Economics and Management, Jiangxi University of Finance and Economics, Nanchang, 330013, People’s Republic of China

    Zhi-Hong Yi

  2. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, 330022, People’s Republic of China

    Feng Qin

Authors
  1. Zhi-Hong Yi
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  2. Feng Qin
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Correspondence to Zhi-Hong Yi .

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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Yi, ZH., Qin, F. (2017). Extended Threshold Generation of a New Class of Fuzzy 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_28

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46205-9

  • Online ISBN: 978-3-319-46206-6

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