Abstract We present a new set of soft generalized* β -locally closed ( here after mentioned as , g ∗ s - lc ), − ∗∗ ) sets in STS. Further to the above, relation between other notions connected with forms and some properties are studied.

in this work, we define a fuzzy soft set theory and its related properties. we then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

‎in this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. moreover, we study some more properties of this type of closed spaces.