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Fuzzy Topologies and Fuzzy Preorders Based on Complete Co-residuated Lattices

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International Conference on Oriental Thinking and Fuzzy Logic

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 443))

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Abstract

For a complete co-residuated lattice L, the concepts of \(\overline{L}\)-topological spaces and \(\overline{L}\)-preorders are introduced by virtue of the nonmembership functions in the intuitionistic fuzzy set theory. Furthermore, the methods to induce one from another are studied in order to establish a stable relationship between each other.

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Acknowledgments

This work is supported by the Natural Science Foundation of China (11401547) and the Fundamental Research Funds for the Central Universities (201413015).

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Authors and Affiliations

  1. School of Mathematical Sciences, Ocean University of China, Qingdao, 266100, China

    Piwei Chen

  2. College of Basic Education, Qingdao University of Technology, Qingdao, 266300, China

    Yu Zeng

Authors
  1. Piwei Chen
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  2. Yu Zeng
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Corresponding author

Correspondence to Yu Zeng .

Editor information

Editors and Affiliations

  1. Guangzhou Vocational Collg. Sci. & Tech., Guangzhou, China

    Bing-Yuan Cao

  2. West Texas A&M University, Canyon,TX,USA, Liaoning Technical University, Fuxin, China

    Pei-Zhuang Wang

  3. Foreign Affairs Office, National Defense University, Beijing, China

    Zeng-Liang Liu

  4. School of Math and Info. Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Chen, P., Zeng, Y. (2016). Fuzzy Topologies and Fuzzy Preorders Based on Complete Co-residuated Lattices. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_3

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  • DOI: https://doi.org/10.1007/978-3-319-30874-6_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30873-9

  • Online ISBN: 978-3-319-30874-6

  • eBook Packages: EngineeringEngineering (R0)

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