On neutrosophic paraconsistent topology
Abstract
Purpose
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.
Design/methodology/approach
The possible relations between the IFT and the neutrosophic paraconsistent topology are studied.
Findings
Relations on IFT and neutrosophic paraconsistent topology are shown.
Research limitations/implications
Clearly, the paper is confined to IFSs and NSs.
Practical implications
The main applications are in the mathematical field.
Originality/value
The paper shows original results on fuzzy sets and topology.
Keywords
Citation
Gallego Lupiáñez, F. (2010), "On neutrosophic paraconsistent topology", Kybernetes, Vol. 39 No. 4, pp. 598-601. https://doi.org/10.1108/03684921011036817
Publisher
:Emerald Group Publishing Limited
Copyright © 2010, Emerald Group Publishing Limited