Optimal Hierarchical Decision-Making for Heat Source Selection of District Heating Systems

<table class="table-group" id="tab9"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left">Items</td><td align="center"><span style="width: 26.2767ptpx;"><svg height="12.5481pt" id="M130" style="vertical-align:-3.42776pt" version="1.1" viewbox="-0.0498162 -9.12034 26.2767 12.5481" width="26.2767pt" 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 650H483V622C553 619 576 606 581 560C585 532 588 487 588 394V148H585L167 650H20V622C67 618 88 610 109 585C127 562 129 557 129 484V264C129 173 126 124 123 93C118 44 92 31 35 28V0H272V28C204 32 181 44 176 95C173 124 170 172 170 264V515H172L598 -9H629V394C629 487 631 532 635 563C639 606 663 619 719 622V650Z" id="g190-79"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="743" vert-adv-y="743"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,10.104,0)"><path d="M381 665C170 665 44 498 44 318C44 125 188 -15 369 -15C552 -15 703 117 703 333C703 534 550 665 381 665ZM359 629C491 629 601 517 601 306C601 114 502 21 390 21C249 21 146 158 146 346S248 629 359 629Z" id="g190-80"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="747" vert-adv-y="747"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,20.262,3.264)"><path d="M545 403C545 425 527 451 498 451C448 451 400 404 312 286L290 341C262 412 246 451 219 451C182 451 138 404 92 345L112 323C152 368 169 378 181 378C192 378 201 359 216 321L257 214C184 115 142 69 113 69C102 69 93 73 88 79S78 89 68 89C47 89 24 61 24 40C24 8 49 -12 75 -12C125 -12 175 31 271 175L312 64C330 15 357 -12 382 -12C421 -12 475 35 515 98L496 121C466 88 439 62 420 62C402 62 384 92 363 147L325 247C349 280 374 309 397 333C422 361 446 381 462 381C471 381 481 374 488 366C493 360 499 357 505 357C521 357 545 380 545 403Z" id="g50-121"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="569" vert-adv-y="569"></glyph.data></g></svg></span></td><td align="center">SO<sub>2</sub></td><td align="center">CO</td><td align="center">CO<sub>2</sub></td><td align="center">Others</td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left"><span style="width: 26.2767ptpx;"><svg height="12.5481pt" id="M131" style="vertical-align:-3.42776pt" version="1.1" viewbox="-0.0498162 -9.12034 26.2767 12.5481" width="26.2767pt" 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 650H483V622C553 619 576 606 581 560C585 532 588 487 588 394V148H585L167 650H20V622C67 618 88 610 109 585C127 562 129 557 129 484V264C129 173 126 124 123 93C118 44 92 31 35 28V0H272V28C204 32 181 44 176 95C173 124 170 172 170 264V515H172L598 -9H629V394C629 487 631 532 635 563C639 606 663 619 719 622V650Z" id="g190-79"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="743" vert-adv-y="743"></glyph.data></g><g transform="matrix(.0135,0,0,-0.0135,10.104,0)"><path d="M381 665C170 665 44 498 44 318C44 125 188 -15 369 -15C552 -15 703 117 703 333C703 534 550 665 381 665ZM359 629C491 629 601 517 601 306C601 114 502 21 390 21C249 21 146 158 146 346S248 629 359 629Z" id="g190-80"></path><glyph.data ascent="989" descent="-360" horiz-adv-x="747" vert-adv-y="747"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,20.262,3.264)"><path d="M545 403C545 425 527 451 498 451C448 451 400 404 312 286L290 341C262 412 246 451 219 451C182 451 138 404 92 345L112 323C152 368 169 378 181 378C192 378 201 359 216 321L257 214C184 115 142 69 113 69C102 69 93 73 88 79S78 89 68 89C47 89 24 61 24 40C24 8 49 -12 75 -12C125 -12 175 31 271 175L312 64C330 15 357 -12 382 -12C421 -12 475 35 515 98L496 121C466 88 439 62 420 62C402 62 384 92 363 147L325 247C349 280 374 309 397 333C422 361 446 381 462 381C471 381 481 374 488 366C493 360 499 357 505 357C521 357 545 380 545 403Z" id="g50-121"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="569" vert-adv-y="569"></glyph.data></g></svg></span></td><td align="center">1</td><td align="center">1/3</td><td align="center">7</td><td align="center">2</td><td align="center">8</td></tr><tr><td align="left">SO<sub>2</sub></td><td align="center">3</td><td align="center">1</td><td align="center">8</td><td align="center">3</td><td align="center">7</td></tr><tr><td align="left">CO</td><td align="center">1/7</td><td align="center">1/8</td><td align="center">1</td><td align="center">1/5</td><td align="center">4</td></tr><tr><td align="left">CO<sub>2</sub></td><td align="center">1/2</td><td align="center">1/3</td><td align="center">5</td><td align="center">1</td><td align="center">6</td></tr><tr><td align="left">Others</td><td align="center">1/8</td><td align="center">1/7</td><td align="center">1/4</td><td align="center">1/6</td><td align="center">1</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

The judgment matrix for environment evaluation index.

Mathematical Problems in Engineering

tab9

Table 9

Table 9: Optimal Hierarchical Decision-Making for Heat Source Selection of District Heating Systems 