Lattice-type fuzzy order is uniquely given by its 1-cut: Proof and consequences

DOI10.1016/S0165-0114(03)00239-2zbMath1044.06002OpenAlexW2129118740MaRDI QIDQ1826617

Radim Bělohlávek

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0165-0114(03)00239-2

zbMATH Keywords

fuzzy relationfuzzy concept latticefuzzy orderalpha cut

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Ordered sets (06A99) Lattices (06B99)

Related Items (12)

Many valued lattices and their representations ⋮ An enriched category approach to many valued topology ⋮ Axiomatic characterizations of \(L\)-valued rough sets using a single axiom ⋮ On fuzzification of Tarski's fixed point theorem without transitivity ⋮ \(L\)-fuzzy interior systems ⋮ Concept lattices of fuzzy contexts: formal concept analysis vs. rough set theory ⋮ Join-completions of \(L\)-ordered sets ⋮ \(L\)-fuzzy closure systems ⋮ A comparative study of Tarski's fixed point theorems with the stress on commutative sets of \(\mathbf{L}\)-fuzzy isotone maps with respect to transitivities ⋮ Formal concept analysis of higher order ⋮ Fuzzy complete lattices ⋮ The Dedekind-MacNeille completions for fuzzy posets

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• Partial ordering in L-underdeterminate sets
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• L-fuzzy sets
• The logic of inexact concepts
• Quantitative fuzzy semantics
• On Fuzzy Logic III. Semantical completeness of some many‐valued propositional calculi
• Similarity relations in concept lattices
• Fuzzy closure operators

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