Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td align="left">Obj. pairs</td><td align="center">Matrix rep. of relations</td><td align="center">Algo. output</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.003a" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003a.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.003e" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003e.jpg"/></td><td align="center">
									Top. rel. = PO</td></tr><tr><td align="center">
									Dir. = East</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.003b" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003b.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.003f" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003f.jpg"/></td><td align="center">
									Top. rel. = PO</td></tr><tr><td align="center">
									Dir = N</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.003c" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003c.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.003g" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003g.jpg"/></td><td align="center">
									Top. rel. = PO</td></tr><tr><td align="center">
									Dir = W</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.003d" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003d.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.003h" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.003h.jpg"/></td><td align="center">
									Top. rel. = PO</td></tr><tr><td align="center">
									Dir. = S</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Object pairs with PO topological relation.

Advances in Fuzzy Systems

tab4

Table 4

Table 4: Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation 