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 Sostak fuzzy topological spaces. In particular, we characterize fuzzy topologies by f·k-neighborhood 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.
Equivalence among some neighborhood structures in fuzzy topology
DE MITRI, Cosimo
2005-01-01
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 Sostak fuzzy topological spaces. In particular, we characterize fuzzy topologies by f·k-neighborhood 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.File in questo prodotto:
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