Table 4 Comparison of the j-I-accuracy measures
From: Approximations of some near open sets in ideal topological spaces
A ⊆ X | ηαI(A) | ηSI(A) | ηPI(A) | ηγI(A) | ηβI(A) | \( {\eta}_{\bigwedge_{\beta }I}(A) \) |
|---|---|---|---|---|---|---|
{x1} | 0 | 0 | 0 | 0 | 0 | 0 |
{x2} | 0 | 0 | 0 | 0 | 0 | 0 |
{x3} | 0 | 0 | 0 | 0 | 0 | 1 |
{x4} | 1/3 | 1/2 | 1/3 | 1/2 | 1/2 | 1/2 |
{x5} | 1/3 | 1/2 | 1/3 | 1/2 | 1/2 | 1/2 |
{x1, x2} | 0 | 0 | 0 | 0 | 0 | 0 |
{x1, x3} | 0 | 0 | 0 | 0 | 0 | 1/2 |
{x1, x4} | 2/3 | 1 | 2/3 | 1 | 1 | 1 |
{x1, x5} | 1/4 | 1/3 | 1/4 | 1/3 | 1/3 | 1/3 |
{x2, x3} | 0 | 0 | 0 | 0 | 0 | 1/2 |
{x2, x4} | 1/4 | 1/3 | 1/4 | 1/3 | 1/3 | 1/3 |
{x2, x5} | 2/3 | 1 | 2/3 | 1 | 1 | 1 |
{x3, x4} | 1/3 | 2/3 | 1/3 | 2/3 | 2/3 | 2/3 |
{x3, x5} | 1/3 | 2/3 | 1/3 | 2/3 | 2/3 | 2/3 |
{x4, x5} | 2/5 | 2/5 | 2/5 | 2/5 | 2/5 | 1/2 |
{x1, x2, x3} | 0 | 0 | 0 | 0 | 0 | 1/3 |
{x1, x2, x4} | 1/2 | 2/3 | 1/2 | 2/3 | 2/3 | 2/3 |
{x1, x2, x5} | 1/2 | 2/3 | 1/2 | 2/3 | 2/3 | 2/3 |
{x1, x3, x4} | 2/3 | 1 | 2/3 | 1 | 1 | 1 |
{x1, x3, x5} | 1/4 | 1/2 | 1/4 | 1/2 | 1/2 | 1/2 |
{x1, x4, x5} | 3/5 | 3/5 | 3/5 | 3/5 | 3/5 | 3/4 |
{x2, x3, x4} | 1/4 | 1/2 | 1/4 | 1/2 | 1/2 | 1/2 |
{x2, x3, x5} | 2/3 | 1 | 2/3 | 1 | 1 | 1 |
{x2, x4, x5} | 3/5 | 3/5 | 3/5 | 3/5 | 3/5 | 3/4 |
{x3, x4, x5} | 3/5 | 3/5 | 3/5 | 3/5 | 3/5 | 3/5 |
{x1, x2, x3, x4} | 1/2 | 3/4 | 1/2 | 3/4 | 3/4 | 3/4 |
{x1, x2, x3, x5} | 1/2 | 3/4 | 1/2 | 3/4 | 3/4 | 3/4 |
{x1, x2, x4, x5} | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 | 1 |
{x1, x3, x4, x5} | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 |
{x2, x3, x4, x5} | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 |
U | 1 | 1 | 1 | 1 | 1 | 1 |