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Two Kinds of Modifications of 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))

Abstract

The identity principle (IP) and ordering property (OP) are two important properties of fuzzy implications. They have important role in the applications of fuzzy implications. However, many fuzzy implications do not satisfy these two properties. In this paper, two kinds of new modifications of fuzzy implications are proposed such that every new implication satisfies one of the two properties, respectively. Then properties of the modified fuzzy implications are explored.

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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 Sciences, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Wen-Wen Zhang & Dao-Wu Pei

Authors
  1. Wen-Wen Zhang
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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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Zhang, WW., Pei, DW. (2017). Two Kinds of Modifications of 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_30

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_30

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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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