Applications on Bipolar Vague Soft Sets

<table class="table-group" id="tab7"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td class="align_left">Line <svg height="8.68572pt" id="M596" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 9.72961 8.68572" width="9.72961pt" 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="M703 650H36V622C118 616 126 607 126 526V124C126 45 117 34 40 28V0H297V28C219 34 211 44 211 124V581C211 609 214 613 245 613H494C521 613 527 610 527 583V124C527 45 519 34 434 28V0H700V28C620 34 612 44 612 124V526C612 605 620 616 703 622V650Z"></path></g></svg></td><td class="align_center">Positive score <svg height="11.5564pt" id="M597" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 19.9337 11.5564" width="19.9337pt" 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="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,-0.013,15.262,0)"><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></td><td class="align_center">Negative score <svg height="11.5564pt" id="M598" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 17.1283 11.5564" width="17.1283pt" 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="M267 601C208 575 153 539 102 500C74 444 59 382 59 319C59 269 65 219 81 171C94 131 114 94 144 64C226 -18 347 -39 458 -16C504 18 553 49 602 80V106L485 48C388 38 288 63 219 133C159 193 139 278 139 362C139 419 151 477 187 522C209 549 242 563 277 564C270 534 275 503 283 474C292 438 304 397 304 367C304 343 304 314 288 298C267 277 242 262 214 255L226 239C279 247 330 266 368 303C393 328 400 364 400 399C400 436 386 470 378 506C374 526 372 547 373 568C373 582 375 596 384 607C393 616 403 624 416 628C439 591 469 543 496 527C535 532 572 547 607 564V585C588 579 559 570 549 580C542 587 538 596 534 605C524 632 516 659 506 686C434 659 362 630 299 585L267 601Z"></path></g><g transform="matrix(.013,0,0,-0.013,12.467,0)"><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></td><td class="align_center">Final score <svg height="11.5564pt" id="M599" style="vertical-align:-2.26807pt" version="1.1" viewbox="-0.0498162 -9.28833 41.4032 11.5564" width="41.4032pt" 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="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,-0.013,18.168,0)"><path d="M535 230V280H52V230H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.704,0)"><path d="M267 601C208 575 153 539 102 500C74 444 59 382 59 319C59 269 65 219 81 171C94 131 114 94 144 64C226 -18 347 -39 458 -16C504 18 553 49 602 80V106L485 48C388 38 288 63 219 133C159 193 139 278 139 362C139 419 151 477 187 522C209 549 242 563 277 564C270 534 275 503 283 474C292 438 304 397 304 367C304 343 304 314 288 298C267 277 242 262 214 255L226 239C279 247 330 266 368 303C393 328 400 364 400 399C400 436 386 470 378 506C374 526 372 547 373 568C373 582 375 596 384 607C393 616 403 624 416 628C439 591 469 543 496 527C535 532 572 547 607 564V585C588 579 559 570 549 580C542 587 538 596 534 605C524 632 516 659 506 686C434 659 362 630 299 585L267 601Z"></path></g><g transform="matrix(.013,0,0,-0.013,36.673,0)"><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></td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td class="align_left">Line <svg height="9.14241pt" id="M600" style="vertical-align:-3.1815pt" version="1.1" viewbox="-0.0498162 -5.96091 12.4317 9.14241" width="12.4317pt" 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="M574 449L545 460C526 432 516 430 487 430C404 430 311 435 226 435C104 435 56 379 25 341L43 318C81 354 121 372 181 372C161 246 87 53 23 3L30 -12C48 -12 88 -4 113 11C157 75 207 248 232 371L386 367L326 109C321 86 318 66 318 50C318 4 339 -12 366 -12C410 -12 461 21 505 69L492 96C467 79 434 60 418 60C406 60 400 78 411 147C422 217 439 300 457 366C487 366 524 367 536 370C547 385 558 408 574 449Z"></path></g><g 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75 207 248 232 371L386 367L326 109C321 86 318 66 318 50C318 4 339 -12 366 -12C410 -12 461 21 505 69L492 96C467 79 434 60 418 60C406 60 400 78 411 147C422 217 439 300 457 366C487 366 524 367 536 370C547 385 558 408 574 449Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.358,3.132)"><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">1</td><td class="align_center">0</td><td class="align_center">1</td></tr><tr><td class="align_left">Line</td><td class="align_center"> </td><td class="align_center"> </td><td class="align_center"> </td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Journal of Mathematics

tab7

Table 7

Table 7: Applications on Bipolar Vague Soft Sets 