Recently, F. Smarandache generalized the Atanassov's intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets (NSs). Also, this author introduced a general definition of neutrosophic topology. On the other hand, there exist various kinds of paraconsistent logics, where some contradiction is admissible. The purpose of this paper is to show that a Smarandache's definition of neutrosophic paraconsistent topology is not a generalization of Çoker's intuitionistic fuzzy topology (IFT) or Smarandache's general neutrosophic topology.
The possible relations between the IFT and the neutrosophic paraconsistent topology are studied.
Relations on IFT and neutrosophic paraconsistent topology are shown.
Clearly, the paper is confined to IFSs and NSs.
The main applications are in the mathematical field.
The paper shows original results on fuzzy sets and topology.
