A novel lexicographical-based method for trapezoidal neutrosophic linear programming problem

Abstract

The aim of this paper is to introduce a simplified presentation of a new
computing procedure for solving trapezoidal neutrosophic linear programming (TrNLP)
problem under uncertainties. Therefore, we firstly define the concept of single valued
neutrosophic (SVN) numbers and ranking functions. A new strategy is planned for solving
the NLP problem without any ranking function. The planned strategy is depends on
multi-objective LP (MOLP) issue and lexicographic order (LO). By following the means of
planned strategy, the problem is changed into crisp LP (CLP) problem. In addition to this, a
theoretical analysis is provided. Numerical examples are illustrated the proposed method and
the consequences are in contrast with the distinct choice methods. The outcome shows that
the proposed technique defeats the deficiencies and constraints of the existing method.