Table 7 Faces and edge membership values in the bipolar fuzzy dual graph shown in Fig. 24.
From: Bipolar fuzzy outerplanar graphs approach in image shrinking
Faces | Membership values | Edges | Membership values |
|---|---|---|---|
\({\mathfrak{f}}_{1}\) | (0.5, − 0.5) | (\({\mathfrak{v}}_{2},{\mathfrak{v}}_{6})\) | (\(0.2,-0.3)\) |
\(\left({\mathfrak{v}}_{6},{\mathfrak{v}}_{4}\right)\) | \(\left(0.4,-0.5\right)\) | ||
\(\left({\mathfrak{v}}_{2},{\mathfrak{v}}_{5}\right)\) | (\(0.3,-0.4)\) | ||
\(({\mathfrak{v}}_{5},{\mathfrak{v}}_{4})\) | (\(0.4,-0.4)\) | ||
\({\mathfrak{f}}_{2}\) | (\(0.2,-0.14)\) | (\({\mathfrak{v}}_{2},{\mathfrak{v}}_{6})\) | (\(0.2,-0.3)\) |
\(\left({\mathfrak{v}}_{6},{\mathfrak{v}}_{4}\right)\) | \(\left(0.4,-0.5\right)\) | ||
\(\left({\mathfrak{v}}_{2},{\mathfrak{v}}_{3}\right)\) | \(\left(0.3,-0.3\right)\) | ||
\(({\mathfrak{v}}_{3},{\mathfrak{v}}_{4})\) | \(\left(0.1,-0.1\right)\) | ||
\({\mathfrak{f}}_{3}\) | (\(0.2,-0.14)\) | (\({\mathfrak{v}}_{2},{\mathfrak{v}}_{5})\) | \(\left(0.3,-0.4\right)\) |
\(\left({\mathfrak{v}}_{4},{\mathfrak{v}}_{5}\right)\) | \(\left(0.4,-0.4\right)\) | ||
\(\left({\mathfrak{v}}_{2},{\mathfrak{v}}_{3}\right)\) | \(\left(0.3,-0.3\right)\) | ||
\(({\mathfrak{v}}_{3},{\mathfrak{v}}_{4})\) | \(\left(0.1,-0.1\right)\) | ||
\(\left({\mathfrak{v}}_{1},{\mathfrak{v}}_{2}\right)\) | \(\left(0.2,-0.2\right)\) |