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On the Characterizations of L-fuzzy Rough Sets Based on Fuzzy Lattices

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Book cover Fuzzy Sets and Operations Research (ICFIE 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 872))

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Abstract

In this paper, we use one axiom to characterize a series of upper (lower) approximations of L-fuzzy rough sets based on fuzzy lattices. The most interesting result of this paper is the investigation of two operators associated with an abstract operator defined on the fuzzy powerset of a universal set. These two operators will paly an essential role in this study. This work can be regarded as a continuation and generalization of Liu’s work in 2013. In which, he characterized the upper approximations of rough sets and fuzzy rough sets by one axiom.

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Acknowledgements

Thanks to the support by National Natural Science Foundation of China (No. 11501278 and No. 11471152) and Shandong Provincial Natural Science Foundation, China (ZR2014AQ011),and Project Science Foundation of Liaocheng University.

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Authors and Affiliations

  1. Department of Mathematics, Liaocheng University, Liaocheng, 252059, People’s Republic of China

    Kai Hu, Qiu Jin & Ling-qiang Li

Authors
  1. Kai Hu
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  2. Qiu Jin
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  3. Ling-qiang Li
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Correspondence to Kai Hu .

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Editors and Affiliations

  1. Foshan University, Foshan, Guangdong, China

    Bing-Yuan Cao

  2. School of Mathematics and Information Science, Guangzhou University, Guangzhou, China

    Yu-Bin Zhong

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Hu, K., Jin, Q., Li, Lq. (2019). On the Characterizations of L-fuzzy Rough Sets Based on Fuzzy Lattices. In: Cao, BY., Zhong, YB. (eds) Fuzzy Sets and Operations Research. ICFIE 2017. Advances in Intelligent Systems and Computing, vol 872. Springer, Cham. https://doi.org/10.1007/978-3-030-02777-3_23

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