Applications of Category Theory to Fuzzy Subsets
This book has a fundamental relationship to the International Seminar on Fuzzy Set Theory held each September in Linz, Austria. First, this volume is an extended account of the eleventh Seminar of 1989. Second, and more importantly, it is the culmination of the tradition of the preceding ten Seminar...
| Other Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | Theory and Decision Library B, Mathematical and Statistical Methods
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I: Topos-like and Model-Theoretic Approaches
- 1: Classification of Extremal Subobjects of Algebras over SM-SET
- 2: M-valued Sets and Sheaves over Integral Commutative CL-Monoids
- 3: The Logic of Unbalanced Subobjects in a Category with Two Closed Structures
- II: Categorical Methods in Topology
- 4: Fuzzy Filter Functors and Convergence
- 5: Convenient Topological Constructs
- 6: A Topological Universe Extension of FTS
- 7: Categorical Frameworks for Stone Representation Theories
- III: Applications and Related Topics in Logic and Topology
- 8: Pointless Metric Spaces and Fuzzy Spaces
- 9: Fuzzy Unit Interval and Fuzzy Paths
- 10: Lattice Morphisms, Sobriety, and Urysohn Lemmas
- 11: The Topological Modification of the L-Fuzzy Unit Interval
- 12: A Categorical Approach to Fuzzy Relational Database Theory
- 13: Fuzzy Points and Membership
- Appendices
- Index of Categories
- Addenda et Corrigenda