Mathematics of Fuzzy Sets

Logic, Topology, and Measure Theory

Häftad, Engelska, 2012

AvUlrich Höhle,S.E. Rodabaugh,Ulrich Hohle,S. E. Rodabaugh

4 339 kr

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Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems.

Produktinformation

Utgivningsdatum2012-11-05
Mått155 x 235 x 39 mm
Vikt1 083 g
FormatHäftad
SpråkEngelska
SerieHandbooks of Fuzzy Sets
Antal sidor716
FörlagSpringer-Verlag New York Inc.
ISBN9781461373100

Tillhör följande kategorier

1. Many-valued logic and fuzzy set theory.- 2. Powerset operator foundations for poslat fuzzy set theories and topologies.- Introductory notes to Chapter 3.- 3. Axiomatic foundations of fixed-basis fuzzy topology.- 4. Categorical foundations of variable-basis fuzzy topology.- 5. Characterization of L-topologies by L-valued neighborhoods.- 6. Separation axioms: Extension of mappings and embedding of spaces.- 7. Separation axioms: Representation theorems, compactness, and compactifications.- 8. Uniform spaces.- 9. Extensions of uniform space notions.- 10. Fuzzy real lines and dual real lines as poslat topological, uniform, and metric ordered semirings with unity.- 11. Fundamentals of generalized measure theory.- 12. On conditioning operators.- 13. Applications of decomposable measures.- 14. Fuzzy random variables revisited.

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