A primal-dual method for solving linear programming problems with fuzzy cost coefficients based on linear ranking functions and its applications

2012 ◽  
Vol 12 (2) ◽  
pp. 119 ◽  
Author(s):  
Ali Ebrahimnejad
Keyword(s):  
Linear Programming ◽  
Dual Method ◽  
Ranking Functions ◽  
Primal Dual ◽  
Linear Programming Problems ◽  
Fuzzy Cost

A primal-dual method for linear programming problems with fuzzy variables

2010 ◽  
Vol 4 (2) ◽  
pp. 189 ◽  
Author(s):  
A. Ebrahimnejad ◽  
S.H. Nasseri ◽  
F. Hosseinzadeh Lotfi ◽  
M. Soltanifar
Keyword(s):  
Linear Programming ◽  
Dual Method ◽  
Fuzzy Variables ◽  
Primal Dual ◽  
Linear Programming Problems

scholarly journals Comparing different ranking functions for solving fuzzy linear programming problems with fuzzy cost coefficients

2021 ◽  
Vol 4 (2) ◽  
pp. 3-17
Author(s):  
Betsabé Pérez Garrido ◽  
Szabolcs Szilárd Sebrek ◽  
Viktoriia Semenova
Keyword(s):  
Linear Programming ◽  
Objective Function ◽  
Fuzzy Numbers ◽  
Fuzzy Linear Programming ◽  
Ranking Functions ◽  
Statistical Software ◽  
Linear Programming Problems ◽  
Fuzzy Cost ◽  
The Cost ◽  
Cost Vector

In many applications of linear programming, the lack of exact information results in various problems. Nevertheless, these types of problems can be handled using fuzzy linear programming. This study aims to compare different ranking functions for solving fuzzy linear programming problems in which the coefficients of the objective function (the cost vector) are fuzzy numbers. A numerical example is introduced from the field of tourism and then solved using five ranking functions. Computations were carried out using the FuzzyLP package implemented in the statistical software R.

A least-squares primal-dual algorithm for solving linear programming problems

2002 ◽  
Vol 30 (5) ◽  
pp. 289-294 ◽  
Author(s):  
Earl Barnes ◽  
Victoria Chen ◽  
Balaji Gopalakrishnan ◽  
Ellis.L. Johnson
Keyword(s):  
Linear Programming ◽  
Least Squares ◽  
Dual Algorithm ◽  
Primal Dual ◽  
Linear Programming Problems
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