A unifying study between modal-like operators, topologies and fuzzy sets

DOI10.1016/j.fss.2007.01.011zbMath1119.03054OpenAlexW2068593785MaRDI QIDQ881822

Jouni Järvinen, Jari Kortelainen

Publication date: 18 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.fss.2007.01.011

zbMATH Keywords

fuzzy setscategory theorytopologiespreordersmodal-like operators

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72)

Related Items (16)

Logics from Galois connections ⋮ M-valued Measure of Roughness for Approximation of L-fuzzy Sets and Its Topological Interpretation ⋮ Topological approximations of multisets ⋮ Powerset operators induced by fuzzy relations as a basis for fuzzification of various mathematical structures ⋮ The relationship between \(L\)-fuzzy rough set and \(L\)-topology ⋮ On a Category of Extensional Fuzzy Rough Approximation L-valued Spaces ⋮ Approximation of sets based on partial covering ⋮ TOPOLOGICAL SIMILARITY OF L-RELATIONS ⋮ Topological structures induced by L-fuzzifying approximation operators ⋮ On approximate-type systems generated by \( L\)-relations ⋮ Topology vs generalized rough sets ⋮ Topological characterizations of generalized fuzzy rough sets ⋮ Unnamed Item ⋮ On the measure of \(M\)-rough approximation of \(L\)-fuzzy sets ⋮ Topological Approaches to Generalized Rough Multisets ⋮ Topological approach for rough sets by using J-nearly concepts via ideals

Cites Work

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• L-fuzzy sets
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• REPRESENTATION THEOREMS FOR FUZZY CONCEPTS
• Reasoning About Space: The Modal Way
• The Lattice of Topologies: Structure and Complementation
• Fuzzy sets
• Categories of $V$-sets
• Boolean Algebras with Operators. Part I
• Galois Connexions
• Theory and Applications of Relational Structures as Knowledge Instruments
• Applying modifiers to knowledge acquisition.
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