Finite fuzzy topological spaces
| Autor: | Ali Jaballah, Moussa Benoumhani |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Pure mathematics Logic 010102 general mathematics Fuzzy set Open set 02 engineering and technology Fuzzy subalgebra Base (topology) 01 natural sciences Artificial Intelligence 0202 electrical engineering electronic engineering information engineering Fuzzy set operations Fuzzy number 020201 artificial intelligence & image processing General topology 0101 mathematics Particular point topology Mathematics |
| Zdroj: | Fuzzy Sets and Systems. 321:101-114 |
| ISSN: | 0165-0114 |
| DOI: | 10.1016/j.fss.2016.11.003 |
| Popis: | We compute for the first time, the number of fuzzy topologies defined on a finite set and having a small number of open sets. Certain cases, where the number of open sets is large, are also considered. Several well known results are obtained as corollaries. The paper is ended by some questions for future investigations. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect