Abstract

PurposeIn 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/approachThe most important definitions and results on intuitionistic fuzzy topology (IFT) one compared with the result obtained by Wang and He.FindingsThat these results are not redundant.Research limitations/implicationsClearly, this paper is devoted to IFTSs.Practical implicationsThe main applications are in the mathematical field.Originality/valueThe originality and value of IFT are here demonstrated.

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