Spherical Linear Diophantine Fuzzy TOPSIS Algorithm for Green Supply Chain Management System

<table class="table-group" id="tab12"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Techniques</td><td class="align_center">Approach</td><td class="align_center">Ranking alternatives</td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">Wang et al. [<a href="/journals/jfs/2022/3136462/#B28" target="_blank">28</a>]</td><td class="align_center">PFS</td><td class="align_center"><span style="width: 117.147ptpx;"><svg height="10.5438pt" id="M435" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.25272 117.147 10.5438" width="117.147pt" 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="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.5,3.132)"><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><g transform="matrix(.013,0,0,-0.013,15.078,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,26.341,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,32.841,3.132)"><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><g transform="matrix(.013,0,0,-0.013,41.42,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,52.682,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,59.182,3.132)"><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><g transform="matrix(.013,0,0,-0.013,67.761,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,79.024,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,85.524,3.132)"><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><g transform="matrix(.013,0,0,-0.013,94.102,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,105.365,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,111.865,3.132)"><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></tr><tr><td class="align_left">Kahraman et al. [<a href="/journals/jfs/2022/3136462/#B29" target="_blank">29</a>]</td><td class="align_center">SFS</td><td class="align_center"><span style="width: 117.147ptpx;"><svg height="10.5438pt" id="M436" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.25272 117.147 10.5438" width="117.147pt" 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="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.5,3.132)"><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><g transform="matrix(.013,0,0,-0.013,15.078,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,26.341,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,32.841,3.132)"><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><g transform="matrix(.013,0,0,-0.013,41.42,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,52.682,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,59.182,3.132)"><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><g transform="matrix(.013,0,0,-0.013,67.761,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,79.024,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,85.524,3.132)"><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><g transform="matrix(.013,0,0,-0.013,94.102,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,105.365,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,111.865,3.132)"><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></tr><tr><td class="align_left">Akram and Shumaiza [<a href="/journals/jfs/2022/3136462/#B30" target="_blank">30</a>]</td><td class="align_center">q-RPFS</td><td class="align_center"><span style="width: 117.147ptpx;"><svg height="10.5438pt" id="M437" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.25272 117.147 10.5438" width="117.147pt" 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="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.5,3.132)"><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><g 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76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,85.524,3.132)"><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><g transform="matrix(.013,0,0,-0.013,94.102,0)"><path d="M512 230V281L75 514V456L453 256V254L75 55V-3L512 230Z"></path></g><g transform="matrix(.013,0,0,-0.013,105.365,0)"><path d="M329 91C329 76 331 61 331 46L374 -27L497 83L492 98L444 74L408 119C407 165 404 210 404 256C404 324 412 392 422 459L414 465L347 431C314 438 282 452 254 471L85 365C63 267 62 165 67 65C95 30 124 -4 154 -36L329 91ZM329 122C294 100 259 80 224 59C221 57 218 56 215 56S209 55 208 56C187 77 161 104 148 121C144 179 143 238 151 295C156 330 162 367 186 392C233 379 281 365 328 365L329 122Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,111.865,3.132)"><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">Proposed algorithm</td><td class="align_center">SLDFS</td><td class="align_center"><span style="width: 117.147ptpx;"><svg height="10.5438pt" id="M438" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -7.25272 117.147 10.5438" width="117.147pt" xmlns="http://www.w3.org/2000/svg" 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<div>Comparison with existing approaches.</div>

Journal of Function Spaces

tab12

Table 12

Table 12: Spherical Linear Diophantine Fuzzy TOPSIS Algorithm for Green Supply Chain Management System 