An Approach to BMBJ-Neutrosophic Hyper-BCK-Ideals of Hyper-BCK-Algebras

<div>Tabular representation of <span class="nowrap"><svg height="15.6211pt" id="M550" style="vertical-align:-3.318501pt" version="1.1" viewbox="-0.0498162 -12.3026 116.311 15.6211" width="116.311pt" 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="M455 24C539 108 594 206 650 334C709 468 750 586 823 640C799 648 783 651 772 651C684 651 586 544 463 327C399 209 303 59 196 19L194 22C273 93 342 207 390 332C447 480 509 577 586 653L571 669L544 647C503 612 456 598 420 598C397 598 379 610 344 629C275 664 238 678 198 678C102 678 35 602 35 527S88 401 164 401C228 401 270 443 303 508L287 517C254 464 219 431 166 431C107 431 76 473 76 525S120 626 184 626C251 626 324 543 415 543C426 543 442 545 451 548L453 546C365 458 303 375 261 259C218 144 179 47 114 -9C129 -12 148 -15 161 -15C266 -15 380 111 487 304C562 441 665 600 749 616L750 615C641 498 572 385 513 222C478 126 437 50 372 -11C385 -15 399 -15 418 -15C525 -15 633 109 737 286C873 521 944 637 983 647H984C984 614 1000 597 1027 597C1051 597 1070 616 1070 640C1070 671 1047 687 1020 687C945 687 887 603 724 323C631 160 552 59 457 22L455 24Z"></path></g><g transform="matrix(.013,0,0,-0.013,17.646,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.909,0)"><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,-0.013,33.407,0)"><path d="M1048 672C1036 675 1028 674 1020 674C822 646 666 318 554 134C521 81 495 39 468 39C457 39 455 46 455 57C455 79 469 109 472 118C520 227 653 461 794 660L779 672C768 675 766 674 762 674C654 674 544 586 344 250C241 78 187 15 119 15C104 15 91 21 88 36H91C96 33 101 32 106 32C133 32 149 53 149 76C149 103 128 128 97 128C65 128 38 102 38 63C38 20 71 -15 118 -15C235 -15 307 132 473 397C542 508 638 615 712 644L713 643C646 565 574 455 521 373C460 281 378 144 378 66C378 23 399 -4 434 -4C518 -4 559 76 647 231C792 488 891 603 977 635L978 633C779 366 670 179 670 70C670 18 708 -12 756 -12C819 -12 883 42 959 134L940 150C868 66 810 18 770 18C751 18 737 28 737 53C737 111 865 359 1056 659L1048 672Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,47.343,3.132)"><path d="M455 24C539 108 594 206 650 334C709 468 750 586 823 640C799 648 783 651 772 651C684 651 586 544 463 327C399 209 303 59 196 19L194 22C273 93 342 207 390 332C447 480 509 577 586 653L571 669L544 647C503 612 456 598 420 598C397 598 379 610 344 629C275 664 238 678 198 678C102 678 35 602 35 527S88 401 164 401C228 401 270 443 303 508L287 517C254 464 219 431 166 431C107 431 76 473 76 525S120 626 184 626C251 626 324 543 415 543C426 543 442 545 451 548L453 546C365 458 303 375 261 259C218 144 179 47 114 -9C129 -12 148 -15 161 -15C266 -15 380 111 487 304C562 441 665 600 749 616L750 615C641 498 572 385 513 222C478 126 437 50 372 -11C385 -15 399 -15 418 -15C525 -15 633 109 737 286C873 521 944 637 983 647H984C984 614 1000 597 1027 597C1051 597 1070 616 1070 640C1070 671 1047 687 1020 687C945 687 887 603 724 323C631 160 552 59 457 22L455 24Z"></path></g><g transform="matrix(.013,0,0,-0.013,57.687,0)"><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,-0.013,63.509,-3.275)"><path d="M846 629L831 655C777 615 719 595 640 595C573 595 518 604 436 619C338 640 291 647 226 647C158 647 71 626 0 558L15 532C79 570 138 592 218 592C292 592 340 582 410 569C495 552 560 540 629 540C701 540 788 559 846 629Z"></path></g><g transform="matrix(.013,0,0,-0.013,62.831,0)"><path d="M895 660C863 648 835 636 808 620C736 668 639 687 564 687C395 687 153 589 153 403C153 307 221 260 300 260C447 260 534 401 534 561H514C506 396 415 290 305 290C234 290 194 335 194 396C194 555 383 657 566 657C626 657 716 643 776 601C669 531 592 432 501 271C389 71 313 16 189 16C118 16 69 60 69 95H71C78 84 93 83 101 83C129 83 144 106 144 131C144 160 121 179 93 179C60 179 34 150 34 107C34 41 100 -15 207 -15C365 -15 509 76 621 311C626 300 647 292 668 292C675 292 701 294 717 298C752 278 763 243 763 203C763 140 734 78 685 49C666 38 647 34 624 34C596 34 574 55 574 82C574 127 623 171 679 176L675 199C586 184 537 132 537 67C537 32 567 -11 631 -11C672 -11 710 0 743 22C804 63 839 127 839 186C839 234 813 289 749 316V318C837 329 902 398 902 463C902 524 873 566 830 601C850 615 874 628 902 641L895 660ZM841 485C841 420 802 346 717 338C697 349 675 352 662 352C655 352 644 351 639 348C691 449 736 524 801 580C825 555 841 524 841 485Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,75.181,3.132)"><path d="M455 24C539 108 594 206 650 334C709 468 750 586 823 640C799 648 783 651 772 651C684 651 586 544 463 327C399 209 303 59 196 19L194 22C273 93 342 207 390 332C447 480 509 577 586 653L571 669L544 647C503 612 456 598 420 598C397 598 379 610 344 629C275 664 238 678 198 678C102 678 35 602 35 527S88 401 164 401C228 401 270 443 303 508L287 517C254 464 219 431 166 431C107 431 76 473 76 525S120 626 184 626C251 626 324 543 415 543C426 543 442 545 451 548L453 546C365 458 303 375 261 259C218 144 179 47 114 -9C129 -12 148 -15 161 -15C266 -15 380 111 487 304C562 441 665 600 749 616L750 615C641 498 572 385 513 222C478 126 437 50 372 -11C385 -15 399 -15 418 -15C525 -15 633 109 737 286C873 521 944 637 983 647H984C984 614 1000 597 1027 597C1051 597 1070 616 1070 640C1070 671 1047 687 1020 687C945 687 887 603 724 323C631 160 552 59 457 22L455 24Z"></path></g><g transform="matrix(.013,0,0,-0.013,85.572,0)"><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,-0.013,90.715,0)"><path d="M552 193C513 158 474 139 434 124L521 332C589 345 647 385 683 456L667 467C628 408 587 378 536 366C581 469 634 567 688 606C732 606 792 611 792 654C792 666 779 674 768 674C755 674 738 674 702 654C661 657 642 660 575 660C460 660 306 603 306 464C306 388 356 346 427 331C390 254 361 158 324 86C256 65 186 46 134 22C49 -18 9 -65 9 -112C9 -151 39 -177 87 -177C217 -177 352 -37 416 85C472 105 523 138 567 177L552 193ZM639 605C551 541 494 462 443 363C392 363 347 402 347 454C347 522 408 570 466 591C497 602 549 608 596 608C611 608 626 607 639 606V605ZM302 43C238 -73 172 -147 87 -147C64 -147 51 -129 51 -110C51 -86 66 -50 139 -13C183 10 241 23 302 43Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,101.141,3.132)"><path d="M455 24C539 108 594 206 650 334C709 468 750 586 823 640C799 648 783 651 772 651C684 651 586 544 463 327C399 209 303 59 196 19L194 22C273 93 342 207 390 332C447 480 509 577 586 653L571 669L544 647C503 612 456 598 420 598C397 598 379 610 344 629C275 664 238 678 198 678C102 678 35 602 35 527S88 401 164 401C228 401 270 443 303 508L287 517C254 464 219 431 166 431C107 431 76 473 76 525S120 626 184 626C251 626 324 543 415 543C426 543 442 545 451 548L453 546C365 458 303 375 261 259C218 144 179 47 114 -9C129 -12 148 -15 161 -15C266 -15 380 111 487 304C562 441 665 600 749 616L750 615C641 498 572 385 513 222C478 126 437 50 372 -11C385 -15 399 -15 418 -15C525 -15 633 109 737 286C873 521 944 637 983 647H984C984 614 1000 597 1027 597C1051 597 1070 616 1070 640C1070 671 1047 687 1020 687C945 687 887 603 724 323C631 160 552 59 457 22L455 24Z"></path></g><g transform="matrix(.013,0,0,-0.013,111.485,0)"><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>

Journal of Mathematics

tab6

Table 6

Table 6: An Approach to BMBJ-Neutrosophic Hyper-BCK-Ideals of Hyper-BCK-Algebras 