• SOLVING BI-LEVEL LARGE SCALE MULTI-OBJECTIVE QUADRATIC PROGRAMMING PROBLEM WITH NEUTROSOPHIC PARAMETERS IN THE CONSTRAINS USING DECOMPOSITION METHOD

O. E. EMAM, A. ABDO, A. M. YOUSSEF*

Abstract


Bi-level large-scale multi-objective is very important topic especially when the problem contains neutrosophic parameters. Most of the practical problems in our world are large-scale problems due to the large number of decision variable that sometimes reach to thousands of decision variables. The presented paper solves bi-level large-scale multi-objective quadratic programming problem with neutrosophic parameter in constrains. The introduced algorithm starts firstly to convert the neutrosophic problem to crisp problem due to simplify the problem then the taylor and weighting method play an important role to convert the problem from bi-level large-scale multi-objective quadratic problem to bi-level large-scale single objective linear programming problem (BLLSPP). As a last step in our algorithm, the decomposition method used to solve BLLSPP and reach the optimal solution for this problem.


Keywords


Bi-level programming; Large scale; linear programming; Neutrosophic set; Trapezoidal neutrosophic number; Multi-objective; Quadratic programming; Decomposition approach; Block angular structure.

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