Join-completions of \(L\)-ordered sets

DOI10.1016/j.fss.2011.12.011zbMath1261.06010OpenAlexW2084187942MaRDI QIDQ1759729

Bin Zhao, Kai Yun Wang

Publication date: 22 November 2012

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.12.011

zbMATH Keywords

\(L\)-ordered setfuzzy ordercomplete residuated latticecomplete \(L\)-latticeconsistent fuzzy closure operatorjoin-completion

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Other algebras related to logic (03G25) Generalizations of ordered sets (06A75)

Related Items (12)

Fuzzy closure operators and their applications ⋮ A clone-based representation of the fuzzy tolerance or equivalence relations a strict order relation is compatible with ⋮ Algebraic representation of frame-valued continuous lattices via the open filter monad ⋮ Reflective full subcategories of the category of \(L\)-posets ⋮ Quantale algebras as lattice-valued quantales ⋮ Fuzzy cut-stable map and its extension property1 ⋮ On the definition of suitable orderings to generate adjunctions over an unstructured codomain ⋮ \(L\)-ordered and \( L\)-lattice ordered groups ⋮ The \(L\)-ordered semigroups based on \(L\)-partial orders ⋮ A categorical characterization of the least \(Q\)-quantale completion of \(Q\)-ordered semigroups ⋮ ON THE COMPATIBILITY OF A CRISP RELATION WITH A FUZZY EQUIVALENCE RELATION ⋮ Left- and right-compatibility of order relations and fuzzy tolerance relations

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