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Weak Pseudo-Quasi-Wajsberg Algebras

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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

In this paper we introduce a generalization of pseudo-quasi-Wajsberg algebras, called weak pseudo-quasi-Wajsberg algebras (weak PQW-algebras, for short). And then some properties of weak PQW-algebras are investigated. Finally, we define weak pseudo-quasi-MV algebras and a related categorical equivalence is established.

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References

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Acknowledgments

We would like to show our sincere thanks to the referees for their valuable comments. This project is supported by the National Natural Science Foundation of China (Grant No. 11501245).

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Jinan, No. 336, West Road of Nan Xinzhuang, Jinan, 250022, Shandong, China

    Wen-Jun Liu & Wen-Juan Chen

Authors
  1. Wen-Jun Liu
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  2. Wen-Juan Chen
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Corresponding author

Correspondence to Wen-Juan Chen .

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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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Liu, WJ., Chen, WJ. (2017). Weak Pseudo-Quasi-Wajsberg Algebras. 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_37

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  • DOI: https://doi.org/10.1007/978-3-319-46206-6_37

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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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