Table 1 jI−accuracy measure for any nonempty subset A of X
From: Approximations of some near open sets in ideal topological spaces
A ⊆ X | ηαI(A) | ηSI(A) | ηPI(A) | ηγ(A) | ηβI(A) | \( {\eta}_{\bigwedge_{\upbeta}I}(A) \) |
|---|---|---|---|---|---|---|
{a} | 0 | 0 | 0 | 0 | 0 | 0 |
{b} | 0 | 0 | 0 | 0 | 0 | 1 |
{c} | 0 | 0 | 0 | 0 | 0 | 0 |
{d} | 0 | 0 | 1/3 | 1/2 | 1/2 | 1/2 |
{e} | 1/3 | 1/2 | 1/3 | 1/2 | 1/2 | 1/2 |
{a, b} | 0 | 0 | 0 | 0 | 0 | 1/2 |
{a, c} | 0 | 0 | 0 | 0 | 0 | 0 |
{a, d} | 0 | 0 | 1/4 | 1/3 | 1/3 | 1/3 |
{a, e} | 2/3 | 1 | 2/3 | 1 | 1 | 1 |
{b, c} | 0 | 0 | 0 | 0 | 0 | 1/2 |
{b, d} | 0 | 0 | 1/3 | 1/3 | 2/3 | 2/3 |
{b, e} | 1/3 | 2/3 | 1/3 | 2/3 | 2/3 | 2/3 |
{c, d} | 1/2 | 1 | 2/3 | 1 | 1 | 1 |
{c, e} | 1/5 | 1/5 | 1/4 | 1/4 | 1/3 | 1/3 |
{d, e} | 1/5 | 1/5 | 2/5 | 2/5 | 2/5 | 1/2 |
{a, b, c} | 0 | 0 | 0 | 0 | 0 | 1/3 |
{a, b, d} | 0 | 0 | 1/4 | 1/4 | 1/2 | 1/2 |
{a, b, e} | 2/3 | 1 | 2/3 | 1 | 1 | 1 |
{a, c, d} | 1/2 | 2/3 | 1/2 | 2/3 | 2/3 | 2/3 |
{a, c, e} | 2/5 | 2/5 | 1/2 | 1/2 | 2/3 | 2/3 |
{a, d, e} | 2/5 | 2/5 | 3/5 | 3/5 | 3/5 | 3/4 |
{b, c, d} | 1/2 | 1 | 2/3 | 1 | 1 | 1 |
{b, c, e} | 1/5 | 2/5 | 1/4 | 1/2 | 1/2 | 1/2 |
{b, d, e} | 1/5 | 2/5 | 3/5 | 3/5 | 3/5 | 3/5 |
{c, d, e} | 3/5 | 3/5 | 3/5 | 3/5 | 3/5 | 3/4 |
{a, b, c, d} | 1/2 | 3/4 | 1/2 | 3/4 | 3/4 | 3/4 |
{a, b, c, e} | 2/5 | 3/5 | 1/2 | 3/4 | 3/4 | 3/4 |
{a, b, d, e} | 2/5 | 3/5 | 4/5 | 4/5 | 4/5 | 4/5 |
{a, c, d, e} | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 | 1 |
{b, c, d, e} | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 | 4/5 |
U | 1 | 1 | 1 | 1 | 1 | 1 |