A Biobjective Fuzzy Integer-Nonlinear Programming Approach for Creating an Intelligent Location-Aware Service

Box 2

Step 2 model for determining the remaining path.

min=𝑑141+𝑑142+𝑑143;

𝑑71=9;

𝑑72=12;

𝑑73=16;

𝑑101=𝑑71+3;

𝑑102=𝑑72+6;

𝑑103=𝑑73+9;

𝑑91=11;

𝑑92=16;

𝑑93=20;

𝑑121=𝑑91+1;

𝑑122=𝑑92+1;

𝑑123=𝑑93+5;

𝑑131=𝑑91+4;

𝑑132=𝑑92+6;

𝑑133=𝑑93+7;

𝑑141=𝑥1214∗𝑑121+5∗𝑥1214+𝑥1314∗𝑑131+1∗𝑥1314;

𝑑142=𝑥1214∗𝑑122+8∗𝑥1214+𝑥1314∗𝑑132+2∗𝑥1314;

𝑑143=𝑥1214∗𝑑123+9∗𝑥1214+𝑥1314∗𝑑133+4∗𝑥1314;

𝑥1214+𝑥1314=1;

@bin(𝑥1214);  @bin(𝑥1314);