Table 1 Difference among different GDioFSs.
\(\hbox {GDioFS}_{(1,1)}(DioFS)\) | \(\hbox {GDioFS}_{(2,2)}(DioPFS)\) | \(\hbox {GDioFS}_{(2,3)}\) |
|---|---|---|
\((\zeta \cdot \varrho )+(\xi \cdot \sigma )\le 1\) | \((\zeta \cdot \varrho )+(\xi \cdot \sigma )\le 1\) or \((\zeta \cdot \varrho )+(\xi \cdot \sigma )\ge 1\) | \((\zeta \cdot \varrho )+(\xi \cdot \sigma )\le 1\) or \((\zeta \cdot \varrho )+(\xi \cdot \sigma )\ge 1\) |
\(0\le (\zeta \cdot \varrho )+(\xi \cdot \sigma )\le 1\) | \(0\le (\zeta \cdot \varrho )^2+(\xi \cdot \sigma )^2\le 1\) | \(0\le (\zeta \cdot \varrho )^m+(\xi \cdot \sigma )^p\le 1\) |
\(\pi =1-((\zeta \cdot \varrho )+(\xi \cdot \sigma ))\) | \(\pi =\sqrt{1-((\zeta \cdot \varrho )^2+(\xi \cdot \sigma )^2)}\) | \(\pi =\root lcm(m,p) \of {1-((\zeta \cdot \varrho )^m+(\xi \cdot \sigma )^p)}\) |
\(\pi +(\zeta \cdot \varrho )+(\xi \cdot \sigma )=1\) | \(\pi ^2+(\zeta \cdot \varrho )^2+(\xi \cdot \sigma )^2=1\) | \(\pi ^{lcm(m,p)}+(\zeta \cdot \varrho )^m+(\xi \cdot \sigma )^p=1\) |
