CONTENTS 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

D. Molodtsov (1999) introduced the concept of a soft set as a new approach for modeling uncertainties. The aim of this work is to define special kinds of soft sets, namely soft, L-fuzzifying soft, L-soft, and L-fuzzy soft neighborhood sets and to use them in order to give an alternative characterization of categories related to topology: crisp topological, L-topological, L-fuzzifying topological and L-fuzzy topological spaces.

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