Mathematics of Fuzzy Sets Logic, Topology, and Measure Theory
Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | The Handbooks of Fuzzy Sets
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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