Analogizing Hutton's quasi-uniformities for complete lattices and extending Shi's quasi-uniformities to closed set lattices

DOI10.1016/J.FSS.2008.07.011zbMath1181.54015OpenAlexW1981203100MaRDI QIDQ1037938

Ling-Xia Lu, Wei Yao

Publication date: 17 November 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2008.07.011

zbMATH Keywords

co-topologyclosed set latticeco-nucleusHutton quasi-uniformityShi pointwise quasi-uniformity

Mathematics Subject Classification ID

Fuzzy topology (54A40) Uniform structures and generalizations (54E15) Fuzzy lattices (soft algebras) and related topics (06D72)

Cites Work

• Extension of Shi's quasi-uniformities in a Kubiak-Šostak sense
• Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics
• On fuzzy uniform spaces
• A theory of fuzzy uniformities with applications to the fuzzy real lines
• Theory of topological molecular lattices
• Uniformities on fuzzy topological spaces
• Pointwise uniformities in fuzzy set theory
• Topological and algebraic structures in fuzzy sets. A handbook of recent developments in the mathematics of fuzzy sets
• A comparison of various uniformities in fuzzy topology.
• Triangular norms
• Continuous Lattices and Domains
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