Equivalence among some neighborhood structures in fuzzy topology
We deepen the study of two known neighborhood structures, which here will be called f⋅k-neighborhood structures and f⋅q-neighborhood structures, in the context of Šostak fuzzy topological spaces. In particular, we characterize fuzzy topologies by f⋅k-neighbor-hood structures. Moreover we introduce a...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.3909 |
| id |
doaj-85eb30ad72ad4c08adc1d40625e80b6f |
|---|---|
| record_format |
Article |
| spelling |
doaj-85eb30ad72ad4c08adc1d40625e80b6f2020-11-24T23:16:18ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005243909392310.1155/IJMMS.2005.3909Equivalence among some neighborhood structures in fuzzy topologyCosimo De Mitri0Department of Mathematics “Ennio De Giorgi”, University of Lecce, via Arnesano, C.P. 193, Lecce 73100, ItalyWe deepen the study of two known neighborhood structures, which here will be called f⋅k-neighborhood structures and f⋅q-neighborhood structures, in the context of Šostak fuzzy topological spaces. In particular, we characterize fuzzy topologies by f⋅k-neighbor-hood structures. Moreover we introduce and discuss the notions of f⋅k-neighborhood prestructure and f⋅m-neighborhood structure in the same context. At last we prove that the three neighborhood structures mentioned above are equivalent.http://dx.doi.org/10.1155/IJMMS.2005.3909 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cosimo De Mitri |
| spellingShingle |
Cosimo De Mitri Equivalence among some neighborhood structures in fuzzy topology International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Cosimo De Mitri |
| author_sort |
Cosimo De Mitri |
| title |
Equivalence among some neighborhood structures in fuzzy topology |
| title_short |
Equivalence among some neighborhood structures in fuzzy topology |
| title_full |
Equivalence among some neighborhood structures in fuzzy topology |
| title_fullStr |
Equivalence among some neighborhood structures in fuzzy topology |
| title_full_unstemmed |
Equivalence among some neighborhood structures in fuzzy topology |
| title_sort |
equivalence among some neighborhood structures in fuzzy topology |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2005-01-01 |
| description |
We deepen the study of two known neighborhood structures, which
here will be called f⋅k-neighborhood structures and f⋅q-neighborhood structures, in the context of Šostak fuzzy
topological spaces. In particular, we characterize fuzzy
topologies by f⋅k-neighbor-hood structures. Moreover we introduce and discuss the notions of
f⋅k-neighborhood prestructure and f⋅m-neighborhood structure in the same context. At last we prove that the three
neighborhood structures mentioned above are equivalent. |
| url |
http://dx.doi.org/10.1155/IJMMS.2005.3909 |
| work_keys_str_mv |
AT cosimodemitri equivalenceamongsomeneighborhoodstructuresinfuzzytopology |
| _version_ |
1725587635997507584 |