The Grey Theory Combining the Taguchi Method for the Best Parameters: A Case Study of Polishing M300 Steel

<table class="fixed-width table-group" id="tab10"><tr><td><table class="table"><colgroup><col style="width:8.63em"/><col style="width:3.95em"/><col style="width:3.87em"/><col style="width:3.92em"/><col style="width:4.03em"/></colgroup><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left">Process parameter</td><td class="align_center"><span style="width: 6.25863ptpx;"><svg height="8.8423pt" id="M80" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 6.25863 8.8423" width="6.25863pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M449 634C442 637 425 643 405 650C376 660 341 666 307 666C181 666 98 590 98 485C98 400 170 343 215 310L246 288C307 243 343 204 343 147C343 67 291 18 219 18C104 18 61 124 51 202L23 199C28 124 27 71 27 47C47 22 122 -16 204 -16C324 -16 428 60 428 174C428 256 379 309 307 360L276 382C223 419 179 455 179 516C179 576 221 632 293 632C379 632 410 564 418 487L448 490C446 536 446 592 449 634Z"></path></g></svg></span></td><td class="align_center"><span style="width: 14.5847ptpx;"><svg height="11.927pt" id="M81" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 14.5847 11.927" width="14.5847pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M962 650H739L732 622L760 619C812 613 819 604 798 552C760 457 671 267 606 131H604L511 638H480L237 131H233L183 554C177 607 183 614 226 619L248 622L257 650H24L17 622C88 615 92 611 103 524L173 -11H203L450 491H453L543 -11H575L839 529C882 609 886 613 953 622L962 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.777,3.132)"><path d="M329 433H203L239 587L230 596L147 534L123 433H57L30 395L34 388H115L61 129C37 16 59 -12 85 -12C147 -12 222 58 260 98L241 125C212 95 160 62 144 62C132 62 127 71 138 126L192 386L305 394L329 433Z"></path></g></svg></span></td><td class="align_center"><span style="width: 16.0974ptpx;"><svg height="12.0653pt" id="M82" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 16.0974 12.0653" width="16.0974pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.221,0)"><path d="M570 304C570 398 525 448 414 448C385 448 343 445 312 434L329 511L321 518C297 504 262 482 244 460L233 411C195 397 159 381 128 358L135 332C160 347 189 360 224 373L111 -147C97 -210 84 -218 17 -231L13 -257L254 -247L259 -218L233 -216C183 -212 177 -202 189 -142L218 -1C238 -10 266 -12 283 -12C351 3 429 48 483 105C543 168 570 242 570 304ZM482 289C482 161 380 33 304 33C278 33 248 51 233 69L303 396C326 400 352 403 369 403C428 403 482 380 482 289Z"></path></g></svg></span></td><td class="align_center"><span style="width: 13.8396ptpx;"><svg height="14.1649pt" id="M83" style="vertical-align:-5.529pt" version="1.1" viewbox="-0.0498162 -8.6359 13.8396 14.1649" width="13.8396pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M697 650H468L461 623L492 619C539 613 547 605 518 546C481 471 367 264 278 116H276C239 278 197 500 186 567C180 604 185 613 226 619L252 623L260 650H24L17 623C78 617 92 613 108 533L216 -11H247C365 200 515 462 560 529C616 612 624 615 689 623L697 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.332,3.132)"><path d="M620 667C620 684 593 710 552 710C515 710 459 687 409 634C360 582 334 506 320 433H247L215 400L220 388H310L259 80C224 -129 199 -161 185 -174C175 -183 160 -192 141 -192C123 -192 90 -181 75 -165C69 -158 64 -156 54 -164C39 -178 24 -195 24 -208C24 -231 61 -257 94 -257C124 -257 162 -243 209 -194C267 -134 303 -66 343 107C369 220 378 279 393 385L503 397L523 433H404C432 619 464 660 500 660C522 660 542 646 566 621C573 614 583 615 593 621C603 628 620 648 620 667Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">Level 1</td><td class="align_center"><i>0.0529</i></td><td class="align_center"><i>0.6199</i></td><td class="align_center">0.4943</td><td class="align_center">0.4446</td></tr><tr><td class="align_left">Level 2</td><td class="align_center">0.4854</td><td class="align_center">0.4393</td><td class="align_center">0.4385</td><td class="align_center"><i>0.6234</i></td></tr><tr><td class="align_left">Level 3</td><td class="align_center">0.5226</td><td class="align_center">0.5017</td><td class="align_center"><i>0.6281</i></td><td class="align_center">0.4929</td></tr><tr><td class="align_left" colspan="5"><hr/></td></tr><tr><td class="align_left">Range value</td><td class="align_center">0.0675</td><td class="align_center">0.1806</td><td class="align_center">0.1896</td><td class="align_center">0.1788</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Mean GRC values of the target function.</div>

Mathematical Problems in Engineering

tab10

Table 10

Table 10: The Grey Theory Combining the Taguchi Method for the Best Parameters: A Case Study of Polishing M300 Steel 