We Consider the Accompanying Imperative Fulfillment Issue Given a Set F of Subsets of a Limited Set S of Cardinality N, and an Assignment of Intervals of the Discrete Set {1, . . . , N} to Each of the Subsets, Does There an Exist a Bijection F S ⟶{1,….N} to Such an Extent That For Every Component of F, Its Picture Under F Is Same As the Interval Alloted to It. an Interval Assignment to a Given Arrangement of Subsets Is Called Plausible If There Exists Such a Bijection. In This Paper, We Describe Doable Interval Assignments to a Given Arrangement of Subsets. We at That Point Utilize This Outcome to Describe Matrices With the Consecutive Ones Property(Cop), and to Portray Matrices For Which There Is a Stage of the Rows With the End Goal That the Columns Are Altogether Arranged In Rising Request. We Additionally Present a Portrayal of Set Frameworks Which Have a Possible Interval Assignment.