In this paper we have introduced a new type of sets termed as \hat{\mu}-open sets which unifies semiopen
sets and discussed some of its properties. We have also introduced another type of weak open sets termed as
\mathcal I_{_{\hat{\mu}}}-open sets depending on a GT as well as an ideal on a topological space. Finally the concept of weakly \mathcal I_{_{\hat{\tau}}}-open sets are investigated.




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 Sen, Ritu