Localized and Energy-Efficient Topology Control in Wireless Sensor Networks Using Fuzzy-Logic Control Approaches

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="973163.fig.003a" src="https://static.hindawi.com/articles/mpe/volume-2014/973163/figures/973163.fig.003a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b>Fuzzy-logic topology control</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="973163.fig.003b" src="https://static.hindawi.com/articles/mpe/volume-2014/973163/figures/973163.fig.003b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b>Membership function of <svg height="11.925" id="M65" style="vertical-align:-3.23158pt" version="1.1" viewbox="0 0 25.375 11.925" width="25.375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg></td></tr></table></td></tr><tr class="fig-image" id="c"><td><img alt="973163.fig.003c" src="https://static.hindawi.com/articles/mpe/volume-2014/973163/figures/973163.fig.003c.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(c) </b>Membership function of <svg height="11.175" id="M66" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 10.8625 11.175" width="10.8625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.113)"><path d="M609 650l-19 -162l-30 -2q2 69 -14 94q-9 18 -28.5 26t-74.5 8h-88q-30 0 -37 -6.5t-12 -36.5l-41 -212h103q48 0 69 5.5t32 19t26 50.5h29l-40 -198h-30q2 58 -11.5 70.5t-85.5 12.5h-99l-30 -167q-17 -87 3 -101q18 -15 111 -15q59 0 89 7t54 27q8 7 15.5 16t16 21.5
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</svg></td></tr></table></td></tr><tr class="fig-image" id="d"><td><img alt="973163.fig.003d" src="https://static.hindawi.com/articles/mpe/volume-2014/973163/figures/973163.fig.003d.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(d) </b>Membership function of ΔCR</td></tr></table></td></tr></table>

<table>Rules-based Fuzzy-logic Topology Control (RFTC).</table>

Mathematical Problems in Engineering

fig3

Figure 3

Figure 3: Localized and Energy-Efficient Topology Control in Wireless Sensor Networks Using Fuzzy-Logic Control Approaches 