Skip to main content
# 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 | η_{αI}(A) | η_{SI}(A) | η_{PI}(A) | η_{γ}(A) | η_{βI}(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 |