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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.
© Emerald Group Publishing Limited
2006
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