equivalence among some neighborhood structures in fuzzy topology
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ID: 183259
2005
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Abstract
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.
| Reference Key |
mitri2005internationalequivalence
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|---|---|
| Authors | ;Cosimo De Mitri |
| Journal | structural engineering and mechanics |
| Year | 2005 |
| DOI |
10.1155/IJMMS.2005.3909
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| URL | |
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