A New Method to Evaluate Linear Programming Problem in Bipolar Single-Valued Neutrosophic Environment

被引:10
作者
Ahmed, Jamil [1 ]
Alharbi, Majed G. [2 ]
Akram, Muhammad [3 ]
Bashir, Shahida [1 ]
机构
[1] Univ Gujrat, Dept Math, Gujrat, Pakistan
[2] Qassim Univ, Methnab, Coll Arts & Sci, Dept Math, Buraydah, Saudi Arabia
[3] Univ Punjab, Dept Math, New Campus, Lahore, Pakistan
来源
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2021年 / 129卷 / 02期
关键词
Bipolar single-valued neutrosophic numbers; score function; trapezoidal numbers; linear programming; FUZZY; OPTIMIZATION; MODEL;
D O I
10.32604/cmes.2021.017222
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 single valued 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 (TBS,NNs) and non-negative trapezoidal bipolar single-valued neutrosophic numbers (TrBS,NNs).
引用
收藏
页码:881 / 906
页数:26
相关论文
共 45 条
[31]   Solution of Fully Bipolar Fuzzy Linear Programming Models [J].
Mehmood, Muhammad Athar ;
Akram, Muhammad ;
Alharbi, Majed G. ;
Bashir, Shahida .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
[32]   A new method for solving an arbitrary fully fuzzy linear system [J].
Moloudzadeh, S. ;
Allahviranloo, T. ;
Darabi, P. .
SOFT COMPUTING, 2013, 17 (09) :1725-1731
[33]  
Nagoorgani A, 2012, Appl. Math. Sci., V6, P3467
[34]   A nonlinear model for fully fuzzy linear programming with fully unrestricted variables and parameters [J].
Najafi, H. Saberi ;
Edalatpanah, S. A. ;
Dutta, H. .
ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (03) :2589-2595
[35]   A note on "A new method for solving fully fuzzy linear programming problems" [J].
Najafi, H. Saberi ;
Edalatpanah, S. A. .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (14-15) :7865-7867
[36]   Intuitionistic fuzzy linear regression analysis [J].
Parvathi, R. ;
Malathi, C. ;
Akram, M. ;
Atanassov, Krassimir T. .
FUZZY OPTIMIZATION AND DECISION MAKING, 2013, 12 (02) :215-229
[37]  
Parvathi R., 2012, WORLD APPL SCI J, V17, P1787
[38]  
Smarandache F., 1998, Neutrosophy, neutrosophic logic, neutrosophic set, neutrosophic probability and statistics
[39]   Solving intuitionistic fuzzy linear programming problems by ranking function [J].
Suresh, M. ;
Vengataasalam, S. ;
Prakash, K. Arun .
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (06) :3081-3087
[40]  
Tanaka H., 1973, Journal of Cybernetics, V3, P37, DOI 10.1080/01969727308545912