Solving Neutrosophic Linear Programming Problems With Two-Phase Approach

Author:

Badr Elsayed Metwalli1ORCID,Abdul Salam Mustafa1,Smarandache Florentin2ORCID

Affiliation:

1. Benha University, Egypt

2. University of New Mexico, USA

Abstract

The neutrosophic primal simplex algorithm starts 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. In this chapter, the authors propose a neutrosophic two-phase method involving neutrosophic artificial variables to obtain an initial neutrosophic basic feasible solution to a slightly modified set of constraints. Then the neutrosophic primal simplex method is used to eliminate the neutrosophic artificial variables and to solve the original problem.

Publisher

IGI Global

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