Extended TOPSIS Method for Supplier Selection under Picture Hesitant Fuzzy Environment Using Linguistic Variables

<table class="table-group" id="tab10"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">Attributes</td><td class="align_center">Weight</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><span style="width: 13.3973ptpx;"><svg height="10.7866pt" id="M250" style="vertical-align:-3.18154pt" version="1.1" viewbox="-0.0498162 -7.60506 13.3973 10.7866" width="13.3973pt" 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="M642 327C642 461 565 582 389 582C298 582 219 548 176 519L185 491C235 515 291 526 348 526C477 526 572 452 572 268C572 145 509 51 431 51C396 51 366 78 366 145C366 189 391 295 402 337L396 341L320 332C315 289 306 229 296 187C276 99 230 55 185 55C149 55 111 89 111 170C111 275 160 373 238 431L222 457C99 394 23 290 23 157C23 40 81 -12 142 -12C185 -12 254 33 293 86C301 31 340 -12 394 -12C437 -12 477 8 524 50C589 108 642 203 642 327Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.32,3.132)"><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: 14.0106ptpx;"><svg height="9.14241pt" id="M251" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 14.0106 9.14241" width="14.0106pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.931,3.132)"><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></tr><tr><td class="align_left"><span style="width: 13.3973ptpx;"><svg height="10.7866pt" id="M252" style="vertical-align:-3.18154pt" version="1.1" viewbox="-0.0498162 -7.60506 13.3973 10.7866" width="13.3973pt" 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="M642 327C642 461 565 582 389 582C298 582 219 548 176 519L185 491C235 515 291 526 348 526C477 526 572 452 572 268C572 145 509 51 431 51C396 51 366 78 366 145C366 189 391 295 402 337L396 341L320 332C315 289 306 229 296 187C276 99 230 55 185 55C149 55 111 89 111 170C111 275 160 373 238 431L222 457C99 394 23 290 23 157C23 40 81 -12 142 -12C185 -12 254 33 293 86C301 31 340 -12 394 -12C437 -12 477 8 524 50C589 108 642 203 642 327Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.32,3.132)"><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"><span style="width: 14.0106ptpx;"><svg height="9.14241pt" id="M253" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 14.0106 9.14241" width="14.0106pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 359 620 334 620 315C620 150 538 45 454 45C414 45 386 67 386 122C386 138 388 158 394 180L457 426L452 432L377 416L315 156C302 100 259 45 216 45C176 45 148 67 148 122C148 133 152 158 156 180C162 212 173 259 194 332C201 357 206 384 206 405C206 430 198 448 174 448C125 448 66 406 23 342L43 319C84 368 110 383 121 383C126 383 128 382 128 377C128 370 127 359 122 343C99 268 84 204 77 156C74 137 70 111 70 104C70 25 125 -12 180 -12C228 -12 276 12 319 50C338 8 378 -12 418 -12C549 -12 689 166 689 332Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.931,3.132)"><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></tr><tr><td class="align_left"><span style="width: 13.3973ptpx;"><svg height="10.8962pt" id="M254" style="vertical-align:-3.29114pt" version="1.1" viewbox="-0.0498162 -7.60506 13.3973 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145 509 51 431 51C396 51 366 78 366 145C366 189 391 295 402 337L396 341L320 332C315 289 306 229 296 187C276 99 230 55 185 55C149 55 111 89 111 170C111 275 160 373 238 431L222 457C99 394 23 290 23 157C23 40 81 -12 142 -12C185 -12 254 33 293 86C301 31 340 -12 394 -12C437 -12 477 8 524 50C589 108 642 203 642 327Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.32,3.132)"><path d="M462 177V227H365V632H320C217 496 116 350 21 208V177H284V109C284 43 280 38 190 31V0H451V31C369 38 365 43 365 108V177H462ZM284 227H88C155 336 218 430 282 519H284V227Z"></path></g></svg></span></td><td class="align_center"><span style="width: 14.0106ptpx;"><svg height="9.14241pt" id="M257" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 14.0106 9.14241" width="14.0106pt" 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="M689 332C689 394 670 448 646 448C620 448 597 421 597 396C597 386 600 381 608 372C619 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Journal of Mathematics

tab10

Table 10

Table 10: Extended TOPSIS Method for Supplier Selection under Picture Hesitant Fuzzy Environment Using Linguistic Variables 