Many valued lattices and their representations

DOI10.1016/j.fss.2007.07.014zbMath1176.06009OpenAlexW2087487597WikidataQ58331928 ScholiaQ58331928MaRDI QIDQ834443

Hongbin Zhao, Dexue Zhang

Publication date: 26 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.fss.2007.07.014

zbMATH Keywords

Yoneda embedding\(\Omega\)-category\(\Omega\)-latticecommutative unital quantalelattice fuzzy ordervague latticeweak \(\Omega\)-lattice

Mathematics Subject Classification ID

Preorders, orders, domains and lattices (viewed as categories) (18B35) Enriched categories (over closed or monoidal categories) (18D20) Generalizations of lattices (06B75)

Related Items (3)

The change-base issue for \(\Omega\)-categories ⋮ The meet-continuity of \(L\)-semilattices ⋮ Stratified categorical fixed-basis fuzzy topological spaces and their duality

Cites Work

• Mathematical aspects of fuzzy sets and fuzzy logic. Some reflections after 40 years
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• Liminf convergence in \(\Omega\)-categories
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• A theory of vague lattices based on many-valued equivalence relations. I: General representation results
• Lattice-type fuzzy order is uniquely given by its 1-cut: Proof and consequences
• Concept lattices and order in fuzzy logic
• Similarity relations, fuzzy partitions, and fuzzy orderings
• Metric spaces, generalized logic, and closed categories
• Continuous Lattices and Domains
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