A New Method to Evaluate Linear Programming Problem in Bipolar Single-Valued Neutrosophic Environment
  • Jamil Ahmed1, Majed G. Alharbi2, Muhammad Akram3,*, Shahida Bashir1
1 Department of Mathematics, University of Gujrat, Gujrat, Pakistan
2 Department of Mathematics, College of Arts and Sciences, Methnab, Qassim University, Buraydah, Saudi Arabia
3 Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan
* Corresponding Author: Muhammad Akram. Email: m.akram@pucit.edu.pk
(This article belongs to this Special Issue:Advances in Neutrosophic and Plithogenic Sets for Engineering and Sciences: Theory, Models, and Applications (ANPSESTMA))
Received 23 April 2021; Accepted 31 May 2021 ; Published online 07 September 2021
Abstract
A bipolar single-valued neutrosophic set can deal with the hesitation relevant to the information of any decision making problem in real life scenarios, where bipolar fuzzy sets may fail to handle those hesitation problems. In this study, we first develop a new method for solving linear programming problems based on bipolar singlevalued neutrosophic sets. Further, we apply the score function to transform bipolar single-valued neutrosophic problems into crisp linear programming problems. Moreover, we apply the proposed technique to solve fully bipolar single-valued neutrosophic linear programming problems with non-negative triangular bipolar single-valued neutrosophic numbers (TBSvNNs) and non-negative trapezoidal bipolar single-valued neutrosophic numbers (TrBSvNNs).
Keywords
Bipolar single-valued neutrosophic numbers; score function; trapezoidal numbers; linear programming