Abstract: In this paper the soft bitopological space has been extended to Soft Tritopological Space and (1,2,3)∗ soft b open sets and (1,2,3)∗ soft b closed sets in soft Tritopological Space has been defined .Some properties on (1,2,3)∗ soft b open sets has been proved. Also the relation between 1,2,3 ∗ soft regular open, 1,2,3 ∗ soft preopen, 1,2,3 ∗ soft semi open, 1,2,3 ∗ soft 𝛼 open, 1,2,3 ∗ soft 𝛽 open in soft tritopological space has been discussed..
Key Word:1,2,3 ∗soft b open set, 1,2,3 ∗ soft b closed set, 1,2,3 ∗soft regular open, 1,2,3 ∗soft pre open, 1,2,3 ∗soft semi open, 1,2,3 ∗soft 𝛼 open, 1,2,3 ∗soft 𝛽open.
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