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ON A NATURAL ORDER FOR A FUNCTION SET
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In this paper, we define the natural partial order ≤ on F(X,Y), the set of all function s from X to Y and characterize minimal elements andmaximal elements of (F(X,Y), ≤. Furthermore, we determine the formulas for the number of upper covers a nd upper bounds for f ∈F(X,Y) when X,Y are finite.
Abstract
In this paper, we define the natural partial order ≤ on F(X,Y), the set of all function s from X to Y and characterize minimal elements andmaximal elements of (F(X,Y), ≤. Furthermore, we determine the formulas for the number of upper covers a nd upper bounds for f ∈F(X,Y) when X,Y are finite.
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