[Retracted] Novel Decision-Making Techniques in Tripolar Fuzzy Environment with Application: A Case Study of ERP Systems

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left"><svg height="9.11633pt" id="M450" style="vertical-align:-0.04981995pt" version="1.1" viewbox="-0.0498162 -9.06651 10.904 9.11633" width="10.904pt" 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="M693 -27L826 74V90C806 82 772 69 767 69C755 69 748 81 741 91C729 111 721 132 714 154C705 181 701 285 698 351C672 373 641 388 607 388C642 416 680 441 719 463C746 478 775 489 804 500L794 516C778 513 763 512 747 514C737 515 726 518 719 527C716 531 715 536 714 541C711 558 711 574 709 591C706 615 702 642 687 660C673 677 651 686 629 686C569 686 516 654 474 612C456 594 438 573 422 553C412 583 396 610 373 633C341 666 297 686 251 686C189 686 131 658 88 614C54 580 27 538 27 490C27 467 51 434 70 410C86 388 112 353 112 341C112 304 84 278 54 261L75 245C105 263 134 284 157 311C173 330 187 353 187 378C187 391 181 403 174 415C165 432 152 448 139 463S113 494 103 511C97 523 91 535 91 548C91 570 104 588 119 604C137 621 162 628 187 628C226 628 261 607 288 580C311 556 326 526 335 494C347 453 352 410 352 367C352 320 350 274 344 228C339 197 334 166 320 138C301 100 271 69 235 48C221 63 207 79 191 91C182 98 172 106 160 106C137 106 118 92 100 78C72 56 49 28 27 0L43 -16C61 8 87 26 118 26C139 26 170 -5 192 -27C247 19 301 67 357 112C386 156 404 206 416 257C421 279 425 302 428 324C460 331 495 341 522 341C551 341 581 335 602 314C611 305 621 295 623 282C635 223 632 154 629 90L693 -27ZM432 351C435 385 437 419 437 452C437 465 436 478 435 490C454 528 476 571 501 596C518 614 540 628 565 628C583 628 599 617 607 601C616 585 621 567 623 548C627 524 632 486 639 479C649 469 663 464 676 463C675 462 577 413 528 388C494 382 464 364 432 351Z"></path></g></svg></td><td class="align_center">Ranking orders</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><svg height="10.643pt" id="M451" style="vertical-align:-1.576489pt" version="1.1" viewbox="-0.0498162 -9.06651 42.7385 10.643" width="42.7385pt" 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="M693 -27L826 74V90C806 82 772 69 767 69C755 69 748 81 741 91C729 111 721 132 714 154C705 181 701 285 698 351C672 373 641 388 607 388C642 416 680 441 719 463C746 478 775 489 804 500L794 516C778 513 763 512 747 514C737 515 726 518 719 527C716 531 715 536 714 541C711 558 711 574 709 591C706 615 702 642 687 660C673 677 651 686 629 686C569 686 516 654 474 612C456 594 438 573 422 553C412 583 396 610 373 633C341 666 297 686 251 686C189 686 131 658 88 614C54 580 27 538 27 490C27 467 51 434 70 410C86 388 112 353 112 341C112 304 84 278 54 261L75 245C105 263 134 284 157 311C173 330 187 353 187 378C187 391 181 403 174 415C165 432 152 448 139 463S113 494 103 511C97 523 91 535 91 548C91 570 104 588 119 604C137 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287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.132,0)"><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,-0.013,36.275,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g></svg>]</td><td class="align_center">ⓈA3 &gt; ⓈA4 &gt; ⓈA2 &gt; ⓈA5 &gt; ⓈA1</td></tr><tr><td class="align_left"><svg height="11.5564pt" id="M452" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 51.7552 11.5564" width="51.7552pt" 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="M693 -27L826 74V90C806 82 772 69 767 69C755 69 748 81 741 91C729 111 721 132 714 154C705 181 701 285 698 351C672 373 641 388 607 388C642 416 680 441 719 463C746 478 775 489 804 500L794 516C778 513 763 512 747 514C737 515 726 518 719 527C716 531 715 536 714 541C711 558 711 574 709 591C706 615 702 642 687 660C673 677 651 686 629 686C569 686 516 654 474 612C456 594 438 573 422 553C412 583 396 610 373 633C341 666 297 686 251 686C189 686 131 658 88 614C54 580 27 538 27 490C27 467 51 434 70 410C86 388 112 353 112 341C112 304 84 278 54 261L75 245C105 263 134 284 157 311C173 330 187 353 187 378C187 391 181 403 174 415C165 432 152 448 139 463S113 494 103 511C97 523 91 535 91 548C91 570 104 588 119 604C137 621 162 628 187 628C226 628 261 607 288 580C311 556 326 526 335 494C347 453 352 410 352 367C352 320 350 274 344 228C339 197 334 166 320 138C301 100 271 69 235 48C221 63 207 79 191 91C182 98 172 106 160 106C137 106 118 92 100 78C72 56 49 28 27 0L43 -16C61 8 87 26 118 26C139 26 170 -5 192 -27C247 19 301 67 357 112C386 156 404 206 416 257C421 279 425 302 428 324C460 331 495 341 522 341C551 341 581 335 602 314C611 305 621 295 623 282C635 223 632 154 629 90L693 -27ZM432 351C435 385 437 419 437 452C437 465 436 478 435 490C454 528 476 571 501 596C518 614 540 628 565 628C583 628 599 617 607 601C616 585 621 567 623 548C627 524 632 486 639 479C649 469 663 464 676 463C675 462 577 413 528 388C494 382 464 364 432 351Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.396,0)"><path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.892,0)"><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,-0.013,29.39,0)"><path d="M412 140C382 77 369 73 315 73H129L270 222C362 320 402 379 402 466C402 571 322 635 234 635C177 635 130 609 99 576L42 495L64 475C90 514 133 568 201 568C274 568 318 519 318 435C318 349 255 267 193 193C144 135 87 78 32 23V0H405C417 45 427 89 440 131L412 140Z"></path></g><g transform="matrix(.013,0,0,-0.013,35.63,0)"><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,-0.013,40.773,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z"></path></g><g transform="matrix(.013,0,0,-0.013,47.013,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path></g></svg></td><td class="align_center">ⓈA3 &gt; ⓈA4 &gt; ⓈA1 &gt; ⓈA5 &gt; ⓈA2</td></tr><tr><td class="align_left"><svg height="11.5564pt" id="M453" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 51.7552 11.5564" width="51.7552pt" 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="M693 -27L826 74V90C806 82 772 69 767 69C755 69 748 81 741 91C729 111 721 132 714 154C705 181 701 285 698 351C672 373 641 388 607 388C642 416 680 441 719 463C746 478 775 489 804 500L794 516C778 513 763 512 747 514C737 515 726 518 719 527C716 531 715 536 714 541C711 558 711 574 709 591C706 615 702 642 687 660C673 677 651 686 629 686C569 686 516 654 474 612C456 594 438 573 422 553C412 583 396 610 373 633C341 666 297 686 251 686C189 686 131 658 88 614C54 580 27 538 27 490C27 467 51 434 70 410C86 388 112 353 112 341C112 304 84 278 54 261L75 245C105 263 134 284 157 311C173 330 187 353 187 378C187 391 181 403 174 415C165 432 152 448 139 463S113 494 103 511C97 523 91 535 91 548C91 570 104 588 119 604C137 621 162 628 187 628C226 628 261 607 288 580C311 556 326 526 335 494C347 453 352 410 352 367C352 320 350 274 344 228C339 197 334 166 320 138C301 100 271 69 235 48C221 63 207 79 191 91C182 98 172 106 160 106C137 106 118 92 100 78C72 56 49 28 27 0L43 -16C61 8 87 26 118 26C139 26 170 -5 192 -27C247 19 301 67 357 112C386 156 404 206 416 257C421 279 425 302 428 324C460 331 495 341 522 341C551 341 581 335 602 314C611 305 621 295 623 282C635 223 632 154 629 90L693 -27ZM432 351C435 385 437 419 437 452C437 465 436 478 435 490C454 528 476 571 501 596C518 614 540 628 565 628C583 628 599 617 607 601C616 585 621 567 623 548C627 524 632 486 639 479C649 469 663 464 676 463C675 462 577 413 528 388C494 382 464 364 432 351Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.396,0)"><path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.892,0)"><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,-0.013,29.39,0)"><path d="M456 178V225H360V632H320C217 496 115 347 20 206V178H280V106C280 40 276 34 189 27V0H445V27C364 34 360 39 360 106V178H456ZM280 225H82C149 335 214 431 278 520H280V225Z"></path></g><g transform="matrix(.013,0,0,-0.013,35.63,0)"><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,-0.013,40.773,0)"><path d="M153 550H386L412 615L406 623H120L82 318C104 327 142 338 184 338C294 338 347 275 347 187C347 112 305 39 221 39C160 39 119 71 97 89C88 97 80 96 71 90C59 80 50 67 49 57C48 45 52 36 66 23C80 9 123 -12 169 -12C221 -11 288 15 342 59C403 109 431 165 431 225C431 308 366 395 238 395C212 395 165 379 127 364L153 550Z"></path></g><g transform="matrix(.013,0,0,-0.013,47.013,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path></g></svg></td><td class="align_center">ⓈA5 &gt; ⓈA3 &gt; ⓈA4 &gt; ⓈA1 &gt; ⓈA2</td></tr><tr><td class="align_left"><svg height="11.5564pt" id="M454" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 51.7552 11.5564" width="51.7552pt" 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="M693 -27L826 74V90C806 82 772 69 767 69C755 69 748 81 741 91C729 111 721 132 714 154C705 181 701 285 698 351C672 373 641 388 607 388C642 416 680 441 719 463C746 478 775 489 804 500L794 516C778 513 763 512 747 514C737 515 726 518 719 527C716 531 715 536 714 541C711 558 711 574 709 591C706 615 702 642 687 660C673 677 651 686 629 686C569 686 516 654 474 612C456 594 438 573 422 553C412 583 396 610 373 633C341 666 297 686 251 686C189 686 131 658 88 614C54 580 27 538 27 490C27 467 51 434 70 410C86 388 112 353 112 341C112 304 84 278 54 261L75 245C105 263 134 284 157 311C173 330 187 353 187 378C187 391 181 403 174 415C165 432 152 448 139 463S113 494 103 511C97 523 91 535 91 548C91 570 104 588 119 604C137 621 162 628 187 628C226 628 261 607 288 580C311 556 326 526 335 494C347 453 352 410 352 367C352 320 350 274 344 228C339 197 334 166 320 138C301 100 271 69 235 48C221 63 207 79 191 91C182 98 172 106 160 106C137 106 118 92 100 78C72 56 49 28 27 0L43 -16C61 8 87 26 118 26C139 26 170 -5 192 -27C247 19 301 67 357 112C386 156 404 206 416 257C421 279 425 302 428 324C460 331 495 341 522 341C551 341 581 335 602 314C611 305 621 295 623 282C635 223 632 154 629 90L693 -27ZM432 351C435 385 437 419 437 452C437 465 436 478 435 490C454 528 476 571 501 596C518 614 540 628 565 628C583 628 599 617 607 601C616 585 621 567 623 548C627 524 632 486 639 479C649 469 663 464 676 463C675 462 577 413 528 388C494 382 464 364 432 351Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.396,0)"><path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 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209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z"></path></g><g transform="matrix(.013,0,0,-0.013,47.013,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path></g></svg></td><td class="align_center">ⓈA4 &gt; ⓈA3 &gt; ⓈA5 &gt; ⓈA1 &gt; ⓈA2</td></tr><tr><td class="align_left"><svg height="11.5564pt" id="M455" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 58.0186 11.5564" width="58.0186pt" 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="M693 -27L826 74V90C806 82 772 69 767 69C755 69 748 81 741 91C729 111 721 132 714 154C705 181 701 285 698 351C672 373 641 388 607 388C642 416 680 441 719 463C746 478 775 489 804 500L794 516C778 513 763 512 747 514C737 515 726 518 719 527C716 531 715 536 714 541C711 558 711 574 709 591C706 615 702 642 687 660C673 677 651 686 629 686C569 686 516 654 474 612C456 594 438 573 422 553C412 583 396 610 373 633C341 666 297 686 251 686C189 686 131 658 88 614C54 580 27 538 27 490C27 467 51 434 70 410C86 388 112 353 112 341C112 304 84 278 54 261L75 245C105 263 134 284 157 311C173 330 187 353 187 378C187 391 181 403 174 415C165 432 152 448 139 463S113 494 103 511C97 523 91 535 91 548C91 570 104 588 119 604C137 621 162 628 187 628C226 628 261 607 288 580C311 556 326 526 335 494C347 453 352 410 352 367C352 320 350 274 344 228C339 197 334 166 320 138C301 100 271 69 235 48C221 63 207 79 191 91C182 98 172 106 160 106C137 106 118 92 100 78C72 56 49 28 27 0L43 -16C61 8 87 26 118 26C139 26 170 -5 192 -27C247 19 301 67 357 112C386 156 404 206 416 257C421 279 425 302 428 324C460 331 495 341 522 341C551 341 581 335 602 314C611 305 621 295 623 282C635 223 632 154 629 90L693 -27ZM432 351C435 385 437 419 437 452C437 465 436 478 435 490C454 528 476 571 501 596C518 614 540 628 565 628C583 628 599 617 607 601C616 585 621 567 623 548C627 524 632 486 639 479C649 469 663 464 676 463C675 462 577 413 528 388C494 382 464 364 432 351Z"></path></g><g transform="matrix(.013,0,0,-0.013,14.396,0)"><path d="M448 1V51H364C248 51 153 129 140 230H448V280H140C153 381 248 459 364 459H448V509H365C208 509 80 395 80 255S208 1 365 1H448Z"></path></g><g transform="matrix(.013,0,0,-0.013,24.892,0)"><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,-0.013,29.39,0)"><path d="M137 343C167 482 260 545 321 574C357 591 397 603 429 609L423 641C382 634 335 622 295 608C189 570 37 457 37 238C37 84 125 -12 242 -12C362 -12 447 89 447 209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z"></path></g><g transform="matrix(.013,0,0,-0.013,35.63,0)"><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,-0.013,40.773,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,47.013,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,53.253,0)"><path d="M226 -163V703H56V676C162 667 165 662 165 584V-43C165 -122 162 -126 56 -136V-163H226Z"></path></g></svg></td><td class="align_center">ⓈA5 &gt; ⓈA4 &gt; ⓈA3 &gt; ⓈA1 &gt; ⓈA2</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Ranking order in TFDWA operator.</div>

Computational Intelligence and Neuroscience

tab2

Table 2

Table 2: [Retracted] Novel Decision-Making Techniques in Tripolar Fuzzy Environment with Application: A Case Study of ERP Systems 