Advances and Applications in Discrete Mathematics

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FUZZY COUNTABLE SEMICONTINUOUS LATTICES

Authors

  • Chongyun Zhao
  • Guanghao Jiang

Keywords:

fuzzy countable semiprime ideal, fuzzy countable semiwaybelow relation, fuzzy countable semicontinuous lattices.

DOI:

https://doi.org/10.17654/0974165824003

Abstract

We introduce the concept of a fuzzy countable semicontinuous lattice on a fuzzy complete lattice, and discuss some of its properties besides providing its characterization.

Received: July 17, 2023
Accepted: November 21, 2023

References

K. H. Hofmann and J. D. Lawson, Irreducibility and generation in continuous lattices, Semigroup Forum 13(1) (1976), 307-353.

G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, M. Mislove and D. S. Scott, Continuous Lattices and Domains, Cambridge University Press, Cambridge, 2003.

Y. Rav, Semiprime ideals in general lattices, J. Pure Appl. Algebra 56(2) (1989), 105-118.

Qiye Zhang, L-fuzzy domain theory, Capital Normal University, Beijing, 2002.

Wei Yao, Fuzzy Scott topology on fuzzy posets and specialization L-order of fuzzy topological space, Beijing institute of Technology, Beijing, 2008.

Yanwei Han, Fuzzy semicontinuous lattice and its category properties, Shaanxi Normal University, Xi’an, 2011.

Zhilian Guo, Studies on consistently semicontinuous domain and fuzzy semicontinuous domain, Shaanxi Normal University, Xi’an, 2012.

Guanghao Jiang and Li Zhou, Fuzzy order-homomorphism of fuzzy countable continuous lattices, Fuzzy Systems Math. 30(6) (2016), 39-46.

Li Zhou and Guanghao Jiang, Order homomorphisms of countable semi- continuous lattices, Tianjin Normal University (Nature Science Edition) 31(2) (2017), 50-56.

Guanghao Jiang and Bailing An, Join semicontinuous lattices and join semicontinuous functions, Advances and Applications in Discrete Mathematics 25(1) (2020), 23-39.

Bailing An and Guanghao Jiang, Fuzzy uniform domain and its applications, J. Interdiscip. Math. 24(3) (2021), 567-577.

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Published

2023-12-11

Issue

Vol. 41 No. 1 (2024)

Section

Articles

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How to Cite

FUZZY COUNTABLE SEMICONTINUOUS LATTICES. (2023). Advances and Applications in Discrete Mathematics, 41(1), 41-55. https://doi.org/10.17654/0974165824003

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