Quantitative domains via fuzzy sets. I: Continuity of fuzzy directed complete posets

DOI10.1016/j.fss.2009.06.018zbMath1193.06007OpenAlexW2016751782MaRDI QIDQ968936

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.fss.2009.06.018

zbMATH Keywords

Galois connection fuzzy relations quantitative domain theory fuzzy directed complete posets fuzzy posets

Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Generalizations of ordered sets (06A75)

Related Items (51)

Categorical dualities between certain kinds of fuzzy posets ⋮ The category of algebraic fuzzy closure L-systems on fuzzy complete lattices ⋮ The Wijsman structure of a quantale-valued metric space ⋮ Algebras with compatible quantale-enriched structures ⋮ A duality between $\Omega$-categories and algebraic $\Omega$-categories ⋮ Quantale-valued sup-algebras ⋮ Scott convergence and fuzzy Scott topology on $L$-posets ⋮ Fuzzy ideals of ordered semigroups with fuzzy orderings ⋮ Fuzzy bases of fuzzy domains ⋮ When do $L$-fuzzy ideals of a ring generate a distributive lattice? ⋮ Fuzzy closure operators and their applications ⋮ A non-frame valued Cartesian closed category of liminf complete fuzzy orders ⋮ Bases and subbases in $(L, M)$-fuzzy convex spaces ⋮ A categorical isomorphism between injective balanced $L$-$S_0$-convex spaces and fuzzy frames ⋮ A category of complete residuated lattice-value neighborhood groups ⋮ On fuzzy monotone convergence $\mathcal{Q}$-cotopological spaces ⋮ Algebraic representation of frame-valued continuous lattices via the open filter monad ⋮ Relationships between $L$-ordered convergence structures and strong $L$-topologies ⋮ Reflective full subcategories of the category of $L$-posets ⋮ A survey of fuzzifications of frames, the Papert-Papert-Isbell adjunction and sobriety ⋮ Complete relations on fuzzy complete lattices ⋮ Basic theorem of fuzzy concept lattices revisited ⋮ Quantale algebras as lattice-valued quantales ⋮ Lattice-valued Scott topology on dcpos ⋮ Unnamed Item ⋮ Stratified $L$-ordered quasiuniform limit spaces ⋮ Unnamed Item ⋮ Fuzzifying interval operators, fuzzifying convex structures and fuzzy pre-orders ⋮ Cartesian closedness of a category of non-frame valued complete fuzzy orders ⋮ Fuzzy cut-stable map and its extension property1 ⋮ K-FLAT PROJECTIVE FUZZY QUANTALES ⋮ The meet-continuity of $L$-semilattices ⋮ Variety theorem for algebras with fuzzy orders ⋮ $L$-ordered and $ L$-lattice ordered groups ⋮ On fuzzy-valued operations and fuzzy-valued fuzzy sets ⋮ Completely lattice $L$-ordered sets with and without $L$-equality ⋮ An approach to fuzzy frames via fuzzy posets ⋮ Lattice-valued semiuniform convergence spaces ⋮ Join-completions of $L$-ordered sets ⋮ Quantitative domains via fuzzy sets. II: Fuzzy Scott topology on fuzzy directed-complete posets ⋮ Unnamed Item ⋮ Stratified categorical fixed-basis fuzzy topological spaces and their duality ⋮ Hull operators and interval operators in $(L,M)$-fuzzy convex spaces ⋮ The $L$-ordered semigroups based on $L$-partial orders ⋮ A comparative study of ideals in fuzzy orders ⋮ Some results on fuzzy $Z_{L}$-continuous(algebraic) poset ⋮ Quasi-closed elements in fuzzy posets ⋮ Fuzzy $Z$-continuous posets ⋮ An axiomatic approach to bases and subbases in $L$-convex spaces and their applications ⋮ Two Cartesian closed subcategories of fuzzy domains ⋮ Convex structures via convex $L$-subgroups of an $L$-ordered group

Cites Work

This page was built for publication: Quantitative domains via fuzzy sets. I: Continuity of fuzzy directed complete posets