| Title: | Book Chapter: El-Sayed Badr, Mustafa Abdul Salam and Florentin Smarandache (2019)" Solving Neutrosophic Linear Programming Problems with Two-Phase Approach" In book: Neutrosophic Sets in Decision Analysis and Operations Research Publisher: IGI Global Dissmenator knowledge |
| Authors: | 1- El-Sayed Badr, Mustafa Abdul Salam and Florentin Smarandache |
| Year: | 2019 |
| Keywords: | Neutrosophic basic feasible solution, neutrosophic primal simplex method, linear programming with neutrosophic variables, ranking function, trapezoidal neutrosophic number. |
| Journal: | IGI Global Dissmenator knowledge |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | IGI Global Dissmenator knowledge |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Alsayed alsayed mitwali badr_Neutrosophic Two Phase.pdf |
| Supplementary materials | Not Available |
| Abstract: |
The neutrosophic primal simplex algorithm moves from a neutrosophic basic feasible solution. If there is no such a solution, we cannot apply the neutrosophic primal simplex method for solving the neutrosophic linear programming problem. This work contributes other new neutrosophic linear programming models and it proposes a ranking function for both maximization neutrosophic linear programs and minimization neutrosophic linear programs. On the other hand, this chapter uses the same ranking function when there is a comparison between the fuzzy approach and neutrosophic approach which solve the same example so this comparison is fair. Finally, this chapter proposes a neutrosophic two-phase method involving neutrosophic artificial variables, to obtain an initial neutrosophic basic feasible solution to a slightly modified the set of constraints. Then the neutrosophic primal simplex method is used to eliminate the neutrosophic artificial variables and to solve the original problem. |
