An Improved EDAS Method Based on Bipolar Neutrosophic Set and Its Application in Group Decision-Making

<table class="table-group" id="tab12"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center"><span style="width: 22.4531ptpx;"><svg height="10.1602pt" id="M437" style="vertical-align:-3.18149pt" version="1.1" viewbox="-0.0498162 -6.97871 22.4531 10.1602" width="22.4531pt" 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="M737 194C628 59 554 22 520 22C496 22 465 32 465 80C465 93 465 104 476 143C532 194 586 255 586 289C586 312 575 317 559 317C497 317 457 216 449 164C396 101 319 19 246 19C215 19 207 43 207 64C207 120 280 250 368 341C413 386 464 411 511 411C542 411 572 400 595 360L616 370C590 441 527 441 498 441C408 441 297 371 226 281V282C195 243 152 203 97 203C80 203 61 207 40 216L30 190C53 178 76 173 100 173C127 173 150 181 171 193C156 160 149 128 149 98C149 31 181 -11 241 -11C309 -11 370 34 438 110L439 109C436 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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="M737 194C628 59 554 22 520 22C496 22 465 32 465 80C465 93 465 104 476 143C532 194 586 255 586 289C586 312 575 317 559 317C497 317 457 216 449 164C396 101 319 19 246 19C215 19 207 43 207 64C207 120 280 250 368 341C413 386 464 411 511 411C542 411 572 400 595 360L616 370C590 441 527 441 498 441C408 441 297 371 226 281V282C195 243 152 203 97 203C80 203 61 207 40 216L30 190C53 178 76 173 100 173C127 173 150 181 171 193C156 160 149 128 149 98C149 31 181 -11 241 -11C309 -11 370 34 438 110L439 109C436 100 435 90 435 77C435 30 460 -8 511 -8C582 -8 664 54 758 177L737 194Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.647,0)"><path d="M129 243C201 272 258 303 328 384H330C339 349 346 313 346 278C346 122 256 19 160 19C133 19 106 31 106 46C106 75 164 51 164 102C164 129 145 139 122 139C91 139 62 107 62 64C62 13 111 -11 162 -11C231 -11 288 11 335 56C390 107 412 165 412 228C412 288 390 349 354 409C385 440 396 476 396 499C396 523 380 531 368 531C351 531 315 501 315 446C315 438 317 429 320 419C253 336 181 291 120 270L129 243Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,17.342,3.132)"><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: 22.4531ptpx;"><svg height="10.2698pt" id="M439" style="vertical-align:-3.29109pt" version="1.1" viewbox="-0.0498162 -6.97871 22.4531 10.2698" width="22.4531pt" 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="M737 194C628 59 554 22 520 22C496 22 465 32 465 80C465 93 465 104 476 143C532 194 586 255 586 289C586 312 575 317 559 317C497 317 457 216 449 164C396 101 319 19 246 19C215 19 207 43 207 64C207 120 280 250 368 341C413 386 464 411 511 411C542 411 572 400 595 360L616 370C590 441 527 441 498 441C408 441 297 371 226 281V282C195 243 152 203 97 203C80 203 61 207 40 216L30 190C53 178 76 173 100 173C127 173 150 181 171 193C156 160 149 128 149 98C149 31 181 -11 241 -11C309 -11 370 34 438 110L439 109C436 100 435 90 435 77C435 30 460 -8 511 -8C582 -8 664 54 758 177L737 194Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.647,0)"><path d="M129 243C201 272 258 303 328 384H330C339 349 346 313 346 278C346 122 256 19 160 19C133 19 106 31 106 46C106 75 164 51 164 102C164 129 145 139 122 139C91 139 62 107 62 64C62 13 111 -11 162 -11C231 -11 288 11 335 56C390 107 412 165 412 228C412 288 390 349 354 409C385 440 396 476 396 499C396 523 380 531 368 531C351 531 315 501 315 446C315 438 317 429 320 419C253 336 181 291 120 270L129 243Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,17.342,3.132)"><path d="M290 377C321 398 342 415 358 430C378 450 389 473 389 502C389 578 329 635 238 635H237C184 635 137 610 109 578L64 515L88 493C112 529 154 573 208 573S303 542 303 482C303 409 233 370 141 341L149 308C165 313 190 319 215 319C272 319 341 283 341 193C342 98 292 43 222 43C163 43 122 72 96 94C88 101 79 100 70 94C61 87 47 73 46 60C44 47 48 37 62 23C76 10 118 -12 165 -12C238 -12 430 62 430 223C430 297 379 359 290 375V377Z"></path></g></svg></span></td><td class="align_center"><span style="width: 22.4531ptpx;"><svg height="10.1602pt" id="M440" style="vertical-align:-3.18149pt" version="1.1" viewbox="-0.0498162 -6.97871 22.4531 10.1602" width="22.4531pt" 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="M737 194C628 59 554 22 520 22C496 22 465 32 465 80C465 93 465 104 476 143C532 194 586 255 586 289C586 312 575 317 559 317C497 317 457 216 449 164C396 101 319 19 246 19C215 19 207 43 207 64C207 120 280 250 368 341C413 386 464 411 511 411C542 411 572 400 595 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519H284V227Z"></path></g></svg></span></td><td class="align_center"><span style="width: 22.4531ptpx;"><svg height="10.2698pt" id="M441" style="vertical-align:-3.29109pt" version="1.1" viewbox="-0.0498162 -6.97871 22.4531 10.2698" width="22.4531pt" 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="M737 194C628 59 554 22 520 22C496 22 465 32 465 80C465 93 465 104 476 143C532 194 586 255 586 289C586 312 575 317 559 317C497 317 457 216 449 164C396 101 319 19 246 19C215 19 207 43 207 64C207 120 280 250 368 341C413 386 464 411 511 411C542 411 572 400 595 360L616 370C590 441 527 441 498 441C408 441 297 371 226 281V282C195 243 152 203 97 203C80 203 61 207 40 216L30 190C53 178 76 173 100 173C127 173 150 181 171 193C156 160 149 128 149 98C149 31 181 -11 241 -11C309 -11 370 34 438 110L439 109C436 100 435 90 435 77C435 30 460 -8 511 -8C582 -8 664 54 758 177L737 194Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.647,0)"><path d="M129 243C201 272 258 303 328 384H330C339 349 346 313 346 278C346 122 256 19 160 19C133 19 106 31 106 46C106 75 164 51 164 102C164 129 145 139 122 139C91 139 62 107 62 64C62 13 111 -11 162 -11C231 -11 288 11 335 56C390 107 412 165 412 228C412 288 390 349 354 409C385 440 396 476 396 499C396 523 380 531 368 531C351 531 315 501 315 446C315 438 317 429 320 419C253 336 181 291 120 270L129 243Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,17.342,3.132)"><path d="M158 548H390L417 615L410 623H122L83 318C105 326 143 337 185 337C296 337 350 275 350 188C350 116 308 42 225 42C164 42 122 74 100 93C90 101 82 99 72 92C60 82 51 68 50 59C48 46 52 38 66 24C82 9 125 -12 172 -12C225 -11 292 15 346 59C408 108 437 166 437 226C437 309 371 397 242 397C214 397 170 382 133 369L158 548Z"></path></g></svg></span></td><td class="align_center">Ranking</td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left">EDAS (with BNNWA)</td><td class="align_center">0.2016</td><td class="align_center">0.8266</td><td class="align_center">0.9002</td><td class="align_center">0.5475</td><td class="align_center">0</td><td class="align_center"><span style="width: 127.716ptpx;"><svg height="11.927pt" id="M442" style="vertical-align:-3.291101pt" version="1.1" viewbox="-0.0498162 -8.6359 127.716 11.927" width="127.716pt" 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="M715 650H476L470 622C550 619 562 610 562 570C562 536 553 481 535 384L523 321C485 121 408 37 283 37C178 37 99 109 134 297L178 532C193 612 199 616 278 622L284 650H29L23 622C105 616 109 609 94 532L48 291C23 160 51 83 98 40C143 -1 202 -16 260 -16C321 -16 387 3 439 49C509 111 542 204 563 312L577 384C595 479 608 533 619 569C629 603 637 620 709 622L715 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.606,3.132)"><path d="M290 377C321 398 342 415 358 430C378 450 389 473 389 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122 72 96 94C88 101 79 100 70 94C61 87 47 73 46 60C44 47 48 37 62 23C76 10 118 -12 165 -12C238 -12 430 62 430 223C430 297 379 359 290 375V377Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.184,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.447,0)"><path d="M715 650H476L470 622C550 619 562 610 562 570C562 536 553 481 535 384L523 321C485 121 408 37 283 37C178 37 99 109 134 297L178 532C193 612 199 616 278 622L284 650H29L23 622C105 616 109 609 94 532L48 291C23 160 51 83 98 40C143 -1 202 -16 260 -16C321 -16 387 3 439 49C509 111 542 204 563 312L577 384C595 479 608 533 619 569C629 603 637 620 709 622L715 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,37.053,3.132)"><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 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3 439 49C509 111 542 204 563 312L577 384C595 479 608 533 619 569C629 603 637 620 709 622L715 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,122.395,3.132)"><path d="M158 548H390L417 615L410 623H122L83 318C105 326 143 337 185 337C296 337 350 275 350 188C350 116 308 42 225 42C164 42 122 74 100 93C90 101 82 99 72 92C60 82 51 68 50 59C48 46 52 38 66 24C82 9 125 -12 172 -12C225 -11 292 15 346 59C408 108 437 166 437 226C437 309 371 397 242 397C214 397 170 382 133 369L158 548Z"></path></g></svg></span></td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The values of <svg height="10.2698pt" id="M436" style="vertical-align:-3.29109pt" version="1.1" viewbox="-0.0498162 -6.97871 20.5624 10.2698" width="20.5624pt" 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="M737 194C628 59 554 22 520 22C496 22 465 32 465 80C465 93 465 104 476 143C532 194 586 255 586 289C586 312 575 317 559 317C497 317 457 216 449 164C396 101 319 19 246 19C215 19 207 43 207 64C207 120 280 250 368 341C413 386 464 411 511 411C542 411 572 400 595 360L616 370C590 441 527 441 498 441C408 441 297 371 226 281V282C195 243 152 203 97 203C80 203 61 207 40 216L30 190C53 178 76 173 100 173C127 173 150 181 171 193C156 160 149 128 149 98C149 31 181 -11 241 -11C309 -11 370 34 438 110L439 109C436 100 435 90 435 77C435 30 460 -8 511 -8C582 -8 664 54 758 177L737 194Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.647,0)"><path d="M129 243C201 272 258 303 328 384H330C339 349 346 313 346 278C346 122 256 19 160 19C133 19 106 31 106 46C106 75 164 51 164 102C164 129 145 139 122 139C91 139 62 107 62 64C62 13 111 -11 162 -11C231 -11 288 11 335 56C390 107 412 165 412 228C412 288 390 349 354 409C385 440 396 476 396 499C396 523 380 531 368 531C351 531 315 501 315 446C315 438 317 429 320 419C253 336 181 291 120 270L129 243Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,17.342,3.132)"><path d="M250 606C250 634 233 656 203 656C168 656 146 618 146 593C146 564 169 545 192 545C227 545 250 573 250 606ZM227 95L212 119C187 98 152 71 135 71C129 71 128 78 134 102L207 373C219 418 217 451 194 451C165 451 92 411 30 351L44 326C77 353 106 371 114 371C124 371 121 357 117 341L55 97C32 5 46 -12 70 -12C108 -12 191 51 227 95Z"></path></g></svg> and the ranking of alternatives.</div>

Applied Computational Intelligence and Soft Computing

tab12

Table 12

Table 12: An Improved EDAS Method Based on Bipolar Neutrosophic Set and Its Application in Group Decision-Making 