Applications of AG-Groupoids in Decision-Making via Linear Diophantine Fuzzy Sets

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="9"><hr/></td></tr><tr class="thead"><td class="align_left"><span style="width: 8.16602ptpx;"><svg height="12.5794pt" id="M391" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 8.16602 12.5794" width="8.16602pt" 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="M452 333C452 398 425 448 375 448C329 448 235 404 140 292H138L229 683C233 701 234 712 225 712C208 712 149 686 66 677L64 652H97C135 652 140 651 129 598L38 167C23 96 29 57 44 33C60 7 98 -12 132 -12C169 -12 232 3 290 41C383 102 452 223 452 333ZM365 316C365 199 308 87 239 49C221 39 200 35 183 35C137 35 99 70 112 163C116 191 123 215 129 233C190 316 290 392 330 392C348 392 365 372 365 316Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,4.992,3.132)"><path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 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id="M397" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 10.0568 12.4698" width="10.0568pt" 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="M452 333C452 398 425 448 375 448C329 448 235 404 140 292H138L229 683C233 701 234 712 225 712C208 712 149 686 66 677L64 652H97C135 652 140 651 129 598L38 167C23 96 29 57 44 33C60 7 98 -12 132 -12C169 -12 232 3 290 41C383 102 452 223 452 333ZM365 316C365 199 308 87 239 49C221 39 200 35 183 35C137 35 99 70 112 163C116 191 123 215 129 233C190 316 290 392 330 392C348 392 365 372 365 316Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,4.992,3.132)"><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"></path></g></svg></span></td><td class="align_center"><span style="width: 15.3285ptpx;"><svg height="11.8174pt" id="M398" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -8.6359 15.3285 11.8174" width="15.3285pt" 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(.0091,0,0,-0.0091,10.244,3.132)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z"></path></g></svg></span></td><td class="align_center">0.9</td><td class="align_center">0.4</td><td class="align_center">0.3</td><td class="align_center">0.2</td><td class="align_center">0.4</td><td 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class="align_center">0.2</td><td class="align_center">0.5</td><td class="align_center">0.4</td><td class="align_center">0.7</td><td class="align_center">0.45</td><td class="align_center">1st</td></tr><tr><td class="align_left"><span style="width: 10.0568ptpx;"><svg height="12.5794pt" id="M401" style="vertical-align:-3.29107pt" version="1.1" viewbox="-0.0498162 -9.28833 10.0568 12.5794" width="10.0568pt" 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="M452 333C452 398 425 448 375 448C329 448 235 404 140 292H138L229 683C233 701 234 712 225 712C208 712 149 686 66 677L64 652H97C135 652 140 651 129 598L38 167C23 96 29 57 44 33C60 7 98 -12 132 -12C169 -12 232 3 290 41C383 102 452 223 452 333ZM365 316C365 199 308 87 239 49C221 39 200 35 183 35C137 35 99 70 112 163C116 191 123 215 129 233C190 316 290 392 330 392C348 392 365 372 365 316Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,4.992,3.132)"><path 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<div>LDFNs <i>A<sub>i</sub></i>s along with scores, accuracies and rankings on <span class="nowrap"><svg height="11.5564pt" id="M390" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 32.3431 11.5564" width="32.3431pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><path d="M449 645C392 682 336 687 293 687C136 687 37 594 37 499C37 397 122 342 207 329C176 273 159 217 159 158C159 48 247 -15 356 -15C417 -15 478 3 530 39S626 128 626 187C626 256 580 290 508 290C402 290 311 187 311 65L333 63C344 171 423 247 491 247C528 247 562 225 562 173C562 97 470 15 360 15C284 15 243 61 243 125C243 176 255 240 312 324C552 324 781 473 781 594C781 642 748 669 685 669C547 669 336 527 229 361C151 369 78 413 78 501C78 604 200 657 301 657C336 657 381 657 437 626L449 645ZM331 355C443 513 593 632 690 632C723 632 740 619 740 592C740 534 671 464 576 416C501 377 411 354 332 354L331 355Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.859,0)"><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"></path></g><g transform="matrix(.013,0,0,-0.013,20.002,0)"><path d="M573 255C573 407 448 530 294 530S15 407 15 255S140 -20 294 -20S573 103 573 255ZM521 255C521 127 419 24 294 24S67 127 67 255S169 486 294 486S521 383 521 255ZM437 255C437 332 373 394 294 394S151 332 151 255S215 116 294 116S437 178 437 255ZM379 255C379 206 341 166 294 166S209 206 209 255S247 344 294 344S379 304 379 255Z"></path></g><g transform="matrix(.013,0,0,-0.013,27.633,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg>.</span></div>

Discrete Dynamics in Nature and Society

tab3

Table 3

Table 3: Applications of AG-Groupoids in Decision-Making via Linear Diophantine Fuzzy Sets 