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

<table class="table-group" id="tab6"><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.</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.005a" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005a.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.005e" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005e.jpg"/></td><td align="center">
									Top. rel. = TPPI</td></tr><tr><td align="center">
									Dir. = E</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.005b" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005b.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.005f" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005f.jpg"/></td><td align="center">
									Top. rel. = TPPI</td></tr><tr><td align="center">
									Dir = N</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.005c" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005c.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.005g" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005g.jpg"/></td><td align="center">
									Top. rel. = TPPI</td></tr><tr><td align="center">
									Dir = West</td></tr><tr><td align="left" rowspan="2"><img alt="167939.table.005d" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005d.jpg"/></td><td align="center" rowspan="2"><img alt="167939.table.005h" src="https://static.hindawi.com/articles/afs/volume-2012/167939/figures/167939.table.005h.jpg"/></td><td align="center">
									Top. rel. = TPPI</td></tr><tr><td align="center">
									Dir. = South</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Object pairs with TPPI topological and their directional relations.

Advances in Fuzzy Systems

tab6

Table 6

Table 6: Two-Dimensional Fuzzy Spatial Relations: A New Way of Computing and Representation 