Cyber-Physical-Social Model for Service Recommendation in the Internet of Things

<div>The service allocation processing diagram. (a) is service allocation for the individual user in fixed scenarios, and (b) is service allocations for different users in cross scenarios. The relationship sequence of <i>O</i><sub><i>i</i></sub> (<span class="nowrap"><svg height="15.8638pt" id="M115" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.9202 16.4206 15.8638" width="16.4206pt" 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="M686 28C612 35 607 44 591 112C563 234 541 360 519 489L489 666L457 658L147 121C100 40 89 36 24 28L17 0H240L250 28C168 34 159 41 190 101L262 237H482C495 180 503 137 510 91C517 47 514 35 441 28L433 0H677L686 28ZM475 280H285L429 541H431L475 280Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.135,-5.741)"><path d="M750 359C750 550 603 667 427 667C199 667 24 499 24 287C24 100 166 -17 344 -17C573 -17 750 136 750 359ZM645 356C645 196 538 24 350 24C205 24 127 136 127 285C127 471 247 626 422 626C571 626 645 521 645 356Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.244,3.784)"><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>)</span> is a result sorted in the relationship values (<span class="nowrap"><svg height="12.8678pt" id="M116" style="vertical-align:-6.90689pt" version="1.1" viewbox="-0.0498162 -5.96091 19.1579 12.8678" width="19.1579pt" 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="M615 290C615 392 563 448 529 448C511 448 491 441 484 434L483 425C518 400 546 349 546 273C546 158 504 46 417 46C381 46 356 77 356 142C356 184 380 293 392 334L387 340L307 323C305 288 296 228 287 188C265 94 221 52 180 52C144 52 112 89 112 171C112 278 164 372 241 430L226 454C106 394 23 288 23 155C23 40 79 -12 139 -12C184 -12 245 32 285 85C292 31 322 -12 376 -12C423 -12 470 18 501 45C570 104 615 184 615 290Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.969,3.132)"><path d="M636 22C611 29 589 38 560 74C536 104 518 134 495 173L430 300C518 328 592 392 592 492C592 555 563 594 528 618C491 643 435 650 377 650H140L131 618C222 610 223 601 208 518L137 136C121 43 116 40 27 32L18 0H295L300 32C212 40 206 42 223 138L248 279H296C334 279 350 272 369 230C393 174 413 140 441 94C482 24 523 1 626 -8L636 22ZM497 480C497 422 468 374 417 343C387 324 353 315 304 315H255L298 556C303 583 309 598 319 603C331 610 348 613 367 613C448 613 497 573 497 480Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,13.711,5.233)"><path d="M256 606C256 635 239 657 207 657C171 657 147 619 147 593C147 563 173 543 194 543C234 543 256 573 256 606ZM233 98L216 125C191 101 156 75 139 75C133 75 132 82 139 107L214 377C226 420 224 454 198 454C169 454 98 415 31 351L46 323C81 353 110 372 116 372C129 372 126 356 121 338L57 101C31 5 47 -12 72 -12C115 -12 197 52 233 98Z"></path></g><g transform="matrix(.0065,0,0,-0.0065,15.159,5.233)"><path d="M405 606C405 634 387 657 355 657C316 657 294 621 294 593C294 563 319 543 346 543C377 543 405 573 405 606ZM371 354C383 412 387 454 360 454C324 454 253 412 182 345L199 312C221 333 269 364 278 364C288 364 287 354 279 310L195 -97C185 -139 166 -179 137 -179C119 -179 94 -169 79 -164C68 -160 59 -160 52 -168C42 -177 25 -197 25 -216C25 -238 50 -253 74 -253C91 -253 124 -242 189 -187C255 -131 292 -40 316 81L371 354Z"></path></g></svg>)</span> order.</div>

Mathematical Problems in Engineering

fig2

Figure 2

Figure 2: Cyber-Physical-Social Model for Service Recommendation in the Internet of Things 