Two decades of fuzzy topology: basic ideas, notions, and results
نویسنده
چکیده
Introduction § 0. Preliminaries: fuzzy sets 125 § 1. Fuzzy topological spaces: the basic categories of fuzzy topology 127 § 2. Fundamental interrelations between the category Top of topological 135 spaces and the categories of fuzzy topology § 3. Local structure of fuzzy topological spaces 138 § 4. Convergence structures in fuzzy spaces 140 § 5. Separation in fuzzy spaces 143 § 6. Normality and complete regularity type properties in fuzzy topology 146 § 7. Compactness in fuzzy topology 149 § 8. Connectedness in fuzzy spaces 157 § 9. Fuzzy metric spaces and metrization of fuzzy spaces 158 §10. The fuzzy real line 3~ (R) and its subspaces 161 §11. Fuzzy modification of a linearly ordered space 164 §12. Fuzzy probabilistic modification of a topological space 165 §13. The interval fuzzy real line 168 §14. On hyperspaces of fuzzy sets 169 §15. Another view of the subject of fuzzy topology and certain categorical 170 aspects of it Conclusion: some reflections on the role and significance of fuzzy topology 176 References 177
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