A Comparative Study on Performance Measurement of Decision-Making Units: A Case Study in Iranian Tejarat Banks

<table class="table-group" id="tab8"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td align="center" colspan="2">Correlation of coefficient (<svg height="7.0124998" id="M225" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 6.5 7.0124998" width="6.5" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.0125)">
<g transform="translate(72,-66.39)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
</g>
</g>
</svg>)</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td align="left">Between similar value criteria and group fuzzy weights approaches</td><td align="center"><span style="width: 61.049999px;"><svg height="10.9125" id="M226" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 61.049999 10.9125" width="61.049999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.9125)">
<g transform="translate(72,-63.27)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
<tspan style="font-size: 12.50px; " x="8.5645552" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="20.604944" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="26.856443" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="29.982195" y="0">8</tspan>
<tspan style="font-size: 12.50px; " x="36.233692" y="0">2</tspan>
<tspan style="font-size: 12.50px; " x="42.485195" y="0">7</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr><td align="left">Between similar value criteria and confined fuzzy weights approaches</td><td align="center"><span style="width: 61.049999px;"><svg height="11.0375" id="M227" style="vertical-align:-0.27588pt" version="1.1" viewbox="0 0 61.049999 11.0375" width="61.049999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.0375)">
<g transform="translate(72,-63.17)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
<tspan style="font-size: 12.50px; " x="8.5645552" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="20.604944" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="26.856443" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="29.982195" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="36.233692" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="42.485195" y="0">9</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr><td align="left">Between group fuzzy weights and confined fuzzy weights approaches</td><td align="center"><span style="width: 61.049999px;"><svg height="11.1" id="M228" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 61.049999 11.1" width="61.049999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
<tspan style="font-size: 12.50px; " x="8.5645552" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="20.604944" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="26.856443" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="29.982195" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="36.233692" y="0">7</tspan>
<tspan style="font-size: 12.50px; " x="42.485195" y="0">5</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr><td align="center" colspan="2"><hr/></td></tr><tr><td align="center" colspan="2">Spearman rank correlation coefficient (<svg height="11.05" id="M229" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 11.9375 11.05" width="11.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.05)">
<g transform="translate(72,-63.16)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.85,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑠</tspan>
</text>
</g>
</g>
</svg>) </td></tr><tr><td align="center" colspan="2"><hr/></td></tr><tr><td align="left">Between similar value criteria and group fuzzy weights approaches</td><td align="center"><span style="width: 66.487503px;"><svg height="14.7125" id="M230" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 66.487503 14.7125" width="66.487503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.7125)">
<g transform="translate(72,-60.23)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.85,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑠</tspan>
</text>
<text transform="matrix(1,0,0,-1,-59.03,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">9</tspan>
<tspan style="font-size: 12.50px; " x="27.66914" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="33.920639" y="0">8</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr><td align="left">Between similar value criteria and confined fuzzy weights approaches</td><td align="center"><span style="width: 66.487503px;"><svg height="14.9" id="M231" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 66.487503 14.9" width="66.487503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9)">
<g transform="translate(72,-60.08)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.85,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑠</tspan>
</text>
<text transform="matrix(1,0,0,-1,-59.03,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="27.66914" y="0">3</tspan>
<tspan style="font-size: 12.50px; " x="33.920639" y="0">0</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr><td align="left">Between group fuzzy weights and confined fuzzy weights approaches</td><td align="center"><span style="width: 66.487503px;"><svg height="14.9" id="M232" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 66.487503 14.9" width="66.487503" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.9)">
<g transform="translate(72,-60.08)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
</text>
<text transform="matrix(1,0,0,-1,-66.85,60.22)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑠</tspan>
</text>
<text transform="matrix(1,0,0,-1,-59.03,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.040389" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="18.291889" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="21.417639" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="27.66914" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="33.920639" y="0">5</tspan>
</text>
</g>
</g>
</svg></span></td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Analysis of correlation for efficiency and rank of DMUs.

Advances in Operations Research

tab8

Table 8

Table 8: A Comparative Study on Performance Measurement of Decision-Making Units: A Case Study in Iranian Tejarat Banks 