Ranking All DEA-Efficient DMUs Based on Cross Efficiency and Analytic Hierarchy Process Methods

<div class="floats-full-page floats-full-page-other"><h2>Table 6</h2><div class="floats-full-page-caption">Example <a href="../../594727/#ex1">1</a>: results for comparing.</div><div class="floats-full-page-content"><table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="9"><hr /></td></tr><tr class="thead"><td align="left" rowspan="2"><span style="width: 37.3599ptpx;"><svg height="12.3101pt" id="M198" style="vertical-align:-3.427739pt" version="1.1" viewbox="-0.0498162 -8.88236 37.3599 12.3101" width="37.3599pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M43 650V622C120 616 128 612 128 526V124C128 39 120 33 34 27V0H270C392 0 492 25 567 83C643 141 690 230 690 350C690 444 655 517 605 565C543 625 450 650 323 650H43ZM213 547C213 587 217 598 226 604C236 612 262 617 304 617C371 617 429 604 474 576C554 529 592 439 592 336C592 176 505 36 319 36C246 36 213 55 213 131V547Z" id="g190-69"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="735" vert-adv-y="735"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,9.754,0)"><path d="M861 0V28C774 35 771 41 768 147L759 509C756 612 762 614 851 622V650H681L449 149L221 650H57V622C148 613 153 609 144 479L130 271C123 166 117 123 111 88C104 46 85 34 26 28V0H259V28C192 35 169 42 167 90C166 130 166 173 170 256L185 541H187L411 7H431L675 555H679L683 147C683 41 680 35 598 28V0H861Z" id="g190-78"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="891" vert-adv-y="891"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,21.825,0)"><path d="M716 650H478V622C549 617 570 605 575 566C579 535 582 493 582 401V326C582 161 537 40 393 40C269 40 205 133 205 294V521C205 611 213 617 291 622V650H33V622C111 615 120 611 120 521V272C120 154 148 80 208 34C252 0 309 -14 368 -14C434 -14 501 7 548 55C605 116 623 201 623 319V401C623 493 626 536 629 563C633 605 656 618 716 622V650Z" id="g190-86"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="736" vert-adv-y="736"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,31.917,3.264)"><path d="M485 418C485 434 469 451 441 451C389 451 312 387 255 335C221 304 194 278 159 242H157L259 678C264 698 264 710 255 710C242 710 183 681 96 673L90 643L128 642C165 641 171 640 162 602L24 -5L31 -12C51 -4 81 4 110 9L145 181C154 195 180 220 205 242C233 170 263 106 291 53C318 1 335 -12 360 -12C383 -12 425 0 483 82L463 105C437 79 411 57 400 57C388 57 378 68 355 110C329 156 288 244 268 298C299 333 355 376 405 376C426 376 440 373 448 368C453 365 465 368 468 373C477 386 485 405 485 418Z" id="g50-108"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="509" vert-adv-y="509"></glyph.data></g></svg></span></td><td align="center" colspan="2">Proposed method</td><td align="center" colspan="2">Model (<a href="../../594727/#EEq4">6</a>)</td><td align="center" colspan="2">Model (<a href="../../594727/#EEq4">6</a>) (AP)</td><td align="center" colspan="2">Model (<a href="../../594727/#EEq6">9</a>)  <svg height="12.9915pt" id="M199" style="vertical-align:-3.3136pt" version="1.1" viewbox="-0.0498162 -9.6779 8.55179 12.9915" width="8.55179pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M238 681C243 705 239 712 230 712C217 712 156 682 75 674L70 648H105C148 648 153 641 144 598L39 110C18 11 35 -12 55 -12C90 -12 166 36 221 103L205 125C174 93 130 65 118 65C112 65 108 68 114 96L238 681Z" id="g113-109"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="269" vert-adv-y="269"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,3.306,3.264)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg>-norm</td></tr><tr class="thead"><td align="center">Weight</td><td align="center">Rank</td><td align="center"><span style="width: 15.4424ptpx;"><svg height="12.4257pt" id="M200" style="vertical-align:-3.427751pt" version="1.1" viewbox="-0.0498162 -8.99795 15.4424 12.4257" width="15.4424pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M719 146L691 147C666 77 657 72 612 72H528C572 125 688 224 688 364C688 546 558 665 384 665C212 665 77 541 77 361C77 221 188 124 239 72H150C110 72 97 80 73 147L46 146L63 0H307L314 18C284 71 178 203 178 360C178 529 256 631 383 631C509 631 588 523 588 363C588 197 485 67 453 18L458 0H701L719 146Z" id="g113-153"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="757" vert-adv-y="757"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,10.256,3.264)"><path d="M460 334C460 396 434 451 378 451C330 451 241 408 148 300H146L237 679C241 697 241 710 232 710C213 710 153 684 67 675L66 646H95C141 646 145 642 134 595L39 170C23 97 31 54 46 33C64 8 100 -12 137 -12C178 -12 234 3 298 43C391 101 460 222 460 334ZM371 320C371 204 316 89 248 51C230 41 208 37 192 37C143 37 102 72 119 166C124 194 129 215 135 235C202 323 298 392 335 392C353 392 371 372 371 320Z" id="g50-99"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="478" vert-adv-y="478"></glyph.data></g></svg></span></td><td align="center">Rank</td><td align="center"><span style="width: 13.1863ptpx;"><svg height="10.7394pt" id="M201" style="vertical-align:-0.2130003pt" version="1.1" viewbox="-0.0498162 -10.5264 13.1863 10.7394" width="13.1863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M475 507C475 612 440 712 326 712C139 712 23 420 23 215C23 96 58 -12 180 -12C369 -12 475 293 475 507ZM391 522C391 486 387 448 379 394H126C155 538 222 677 310 677C386 677 391 571 391 522ZM373 346C344 193 283 22 189 22C126 22 106 114 106 196C106 243 111 293 118 346H373Z" id="g113-230"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="498" vert-adv-y="498"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,6.748,-5.984)"><path d="M486 158C486 177 478 202 466 220C413 228 386 236 336 262C386 288 413 297 466 304C478 323 486 347 485 366C470 376 444 381 422 380C389 338 368 319 321 288C323 345 329 372 349 422C339 442 322 461 305 470C289 461 271 442 262 422C281 372 287 345 290 288C243 319 222 338 189 380C167 381 142 376 125 366C125 347 133 322 145 304C198 296 225 288 275 262C225 236 198 227 145 220C133 201 125 177 126 158C141 148 167 143 189 144C222 186 243 205 290 236C288 179 282 152 262 102C272 82 289 63 306 54C322 63 340 82 350 102C330 152 324 179 321 236C368 205 390 186 422 144C444 143 470 148 486 158Z" id="g50-43"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="611" vert-adv-y="611"></glyph.data></g></svg></span></td><td align="center">Rank</td><td align="center"><span style="width: 40.5021ptpx;"><svg height="12.0395pt" id="M202" style="vertical-align:-2.3616pt" version="1.1" viewbox="-0.0498162 -9.6779 40.5021 12.0395" width="40.5021pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M485 501C480 550 475 615 475 650H42V622C119 616 127 606 127 525V126C127 44 119 34 41 28V0H311V28C220 34 212 43 212 126V584C212 612 216 615 244 615H318C382 615 404 608 420 587C435 568 445 541 455 497L485 501Z" id="g113-132"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="507" vert-adv-y="507"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,6.873,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z" id="g113-41"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,11.561,0)"><path d="M748 650H522L515 622L546 617C580 611 587 604 565 575C518 513 469 451 419 393C376 474 349 534 330 580C318 609 325 612 361 618L383 622L392 650H151L144 622C214 616 224 612 257 543L360 327C270 218 187 124 159 95C106 40 92 34 26 28L17 0H252L259 28L236 31C189 37 188 47 209 78C249 136 308 210 377 294L478 79C494 44 487 37 449 32L418 28L409 0H673L680 28C596 34 591 39 554 116L436 361C526 469 574 521 604 553C659 612 669 614 739 622L748 650Z" id="g113-89"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="765" vert-adv-y="765"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,21.382,0)"><path d="M95 130C70 130 46 113 46 88C46 72 54 64 59 64C93 55 121 33 121 -3C121 -41 93 -68 44 -88L55 -117C117 -98 186 -56 186 22C186 91 131 130 95 130Z" id="g113-45"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="228" vert-adv-y="228"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,26.742,0)"><path d="M640 650H413L406 622L438 617C475 611 483 605 463 571C422 503 346 400 296 333C264 403 215 529 199 575C189 604 191 614 228 618L262 622L271 650H30L23 622C90 615 97 609 119 553L212 321C222 295 223 285 218 259L193 127C176 39 167 33 82 28L76 0H350L356 28C266 36 257 40 275 127L303 266C308 290 314 302 328 322C396 418 454 493 498 546C551 610 565 616 631 622L640 650Z" id="g113-90"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="652" vert-adv-y="652"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,35.58,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z" id="g113-42"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="346" vert-adv-y="346"></glyph.data></g></svg></span></td><td align="center">Rank</td></tr><tr><td class="thead-hr" colspan="9"><hr /></td></tr><tr><td align="left">1</td><td align="center">0.33493</td><td align="center">7</td><td align="center">0.675</td><td align="center">6</td><td align="center">1.1009</td><td align="center">7</td><td align="center">0.0156</td><td align="center">7</td></tr><tr><td align="left">4</td><td align="center">0.42144</td><td align="center">1</td><td align="center">0.708</td><td align="center">2</td><td align="center">1.9336</td><td align="center">2</td><td align="center">0.4802</td><td align="center">2</td></tr><tr><td align="left">7</td><td align="center">0.38601</td><td align="center">3</td><td align="center">0.698</td><td align="center">3</td><td align="center">1.1737</td><td align="center">5</td><td align="center">0.1915</td><td align="center">3</td></tr><tr><td align="left">12</td><td align="center">0.36912</td><td align="center">4</td><td align="center">0.677</td><td align="center">5</td><td align="center">1.1095</td><td align="center">6</td><td align="center">0.0589</td><td align="center">6</td></tr><tr><td align="left">15</td><td align="center">0.41546</td><td align="center">2</td><td align="center">0.790</td><td align="center">1</td><td align="center">4.9139</td><td align="center">1</td><td align="center">0.7965</td><td align="center">1</td></tr><tr><td align="left">17</td><td align="center">0.34737</td><td align="center">6</td><td align="center">0.677</td><td align="center">5</td><td align="center">1.3484</td><td align="center">3</td><td align="center">0.1760</td><td align="center">4</td></tr><tr><td align="left">20</td><td align="center">0.36284</td><td align="center">5</td><td align="center">0.680</td><td align="center">4</td><td align="center">1.1849</td><td align="center">4</td><td align="center">0.1077</td><td align="center">5</td></tr><tr class="table-tr"><td colspan="9"><hr class="tbody-hr" /></td></tr></table></td></tr></table></div></div>

Table 6 | Ranking All DEA-Efficient DMUs Based on Cross Efficiency and Analytic Hierarchy Process Methods

title

Table 6: Ranking All DEA-Efficient DMUs Based on Cross Efficiency and Analytic Hierarchy Process Methods

description

Table 6

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