Equivalence among some neighborhood structures in fuzzy topology

Cosimo De Mitri

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-15

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:478015

DOI: 10.1155/IJMMS.2005.3909

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