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

<table class="table-group" id="tab5"><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.004a" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004a.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.004e" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004e.jpg"/></td><td align="center">
									Top. rel. = TPP</td></tr><tr><td align="center">
									Dir. = E</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.004b" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004b.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.004f" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004f.jpg"/></td><td align="center">
									Top. rel. = TPP</td></tr><tr><td align="center">
									Dir = N</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.004c" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004c.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.004g" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004g.jpg"/></td><td align="center">
									Top. rel. = TPP</td></tr><tr><td align="center">
									Dir = W</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.004d" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004d.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.004h" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.004h.jpg"/></td><td align="center">
									Top. rel. = TPP</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 TPP topological and their directional relations.

Advances in Fuzzy Systems

tab5

Table 5

Table 5: Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation 