On intuitionistic fuzzy topological spaces

Francisco Gallego Lupiáñez (Department of Mathematics, University Complutense, Madrid, Spain)

Kybernetes

ISSN: 0368-492X

Publication date: 1 June 2006

Abstract

Purpose

In 2000, Wang and He published an important result on the theory of intuitionistic fuzzy sets (IFSs). Indeed, they showed that every IFS may be regarded as an L‐fuzzy set for some appropriate lattice L. This paper aims to show that, nevertheless, the results obtained by various authors on intuitionistic fuzzy topological spaces (IFTSs), are not redundant with others for the ordinary fuzzy sense.

Design/methodology/approach

The most important definitions and results on intuitionistic fuzzy topology (IFT) one compared with the result obtained by Wang and He.

Findings

That these results are not redundant.

Research limitations/implications

Clearly, this paper is devoted to IFTSs.

Practical implications

The main applications are in the mathematical field.

Originality/value

The originality and value of IFT are here demonstrated.

Keywords

Citation

Gallego Lupiáñez, F. (2006), "On intuitionistic fuzzy topological spaces", Kybernetes, Vol. 35 No. 5, pp. 743-747. https://doi.org/10.1108/03684920610662494

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Publisher

:

Emerald Group Publishing Limited

Copyright © 2006, Emerald Group Publishing Limited

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