A New Method for Solving Interval Neutrosophic Linear Programming Problems

EasyChair Preprint no. 2346

Abstract

Because of uncertainty in the real-world problems, achieving to the optimal solution is always time consuming and even sometimes impossible.In order to overcome this drawback the neutrosophic sets theory which is a generalization of the fuzzy sets theory is presented that can handle not only incomplete information but also indeterminate and inconsistent information which is common in  real-world  situations. By considering these conditions in this paper for the first time an interval neutrosophic linear programming model will be presented, where the parameters of the proposed model are represented by triangular interval-valued neutrosophic numbers and call it Interval Neutrosophic Linear Programming (INLP) problems. Furthermore by using a ranking function present a technique to convert every INLP problem  into a crisp model and solve it by standard methods.Because of uncertainty in the real-world problems, achieving to the optimal solution is always time consuming and even sometimes impossible.In order to overcome this drawback the neutrosophic sets theory which is a generalization of the fuzzy sets theory is presented that can handle not only incomplete information but also indeterminate and inconsistent information which is common in  real-world  situations. By considering these conditions in this paper for the first time an interval neutrosophic linear programming model will be presented, where the parameters of the proposed model are represented by triangular interval-valued neutrosophic numbers and call it Interval Neutrosophic Linear Programming (INLP) problems. Furthermore by using a ranking function present a technique to convert every INLP problem  into a crisp model and solve it by standard methods.

Keyphrases: Interval neutrosophic programming, neutrosophic, Neutrosophic linear programming

@Booklet{EasyChair:2346,
  author = {Amirhossein Nafei and Muhammad Arif and Wnjun Yuan and Hadi Nasseri},
  title = {A New Method for Solving Interval Neutrosophic Linear Programming Problems},
  howpublished = {EasyChair Preprint no. 2346},

  year = {EasyChair, 2020}}