Topological and Algebraic Structures in Fuzzy Sets

Front Matter....Pages i-xi
Introduction....Pages 1-16
Front Matter....Pages 17-17
Uniform Completion In Pointfree Topology....Pages 19-56
Monadic Convergence Structures....Pages 57-79
A Unified Approach To The Concept Of Fuzzy L -Uniform Space....Pages 81-114
Many Valued Topologies And Borel Probability Measures....Pages 115-135
Fuzzy Reals: Topological Results Surveyed, Brouwer Fixed Point Theorem, Open Questions....Pages 137-151
Lattice-Valued Frames, Functor Categories, And Classes Of Sober Spaces....Pages 153-187
Weakening The Requirement That L Be A Complete Chain....Pages 189-197
Axiomatic Foundations For Uniform Operator Quasi-Uniformities....Pages 199-233
Fully Fuzzy Topology....Pages 235-253
Front Matter....Pages 255-255
Fuzzy Logics Arising From Strict De Morgan Systems....Pages 257-276
Structure Of Girard Monoids On [0,1]....Pages 277-308
On The Geometry Of Choice....Pages 309-336
Front Matter....Pages 373-373
On Some Fuzzy Categories Related To Category L -TOP Of L -Topological Spaces....Pages 337-371
Fuzzy Compactness Via Categorical Closure Operators....Pages 375-387
Discrete Triangular Norms....Pages 389-400
Powerset Operators Based Approach To Fuzzy Topologies On Fuzzy Sets....Pages 401-413
Lifting Of Sobriety Concepts With Particular Reference To ( L, M )-Topological Spaces....Pages 415-426
Examples For Different Sobrieties In Fixed-Basis Topology....Pages 427-440
Additive Generators Of Non-Continuous Triangular Norms....Pages 441-454
Front Matter....Pages 373-373
Groups, T-Norms, And Families Of De Morgan Systems....Pages 455-467
Back Matter....Pages 469-470