Large Scale Multiobjective Linear Programming with Fuzzy Numbers

2000 ◽  
pp. 85-116
Author(s):  
Masatoshi Sakawa
Keyword(s):  
Linear Programming ◽  
Large Scale ◽  
Fuzzy Numbers ◽  
Multiobjective Linear Programming

scholarly journals A MOLP Method for Solving Fully Fuzzy Linear Programming withLRFuzzy Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Xiao-Peng Yang ◽  
Xue-Gang Zhou ◽  
Bing-Yuan Cao ◽  
S. H. Nasseri
Keyword(s):  
Linear Programming ◽  
Solution Method ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Order Relation ◽  
Fuzzy Programming ◽  
Fuzzy Linear Programming ◽  
Programming Method ◽  
Multiobjective Linear Programming ◽  
Fuzzy Parameters

Kaur and Kumar, 2013, use Mehar’s method to solve a kind of fully fuzzy linear programming (FFLP) problems withLRfuzzy parameters. In this paper, a new kind of FFLP problems is introduced with a solution method proposed. The FFLP is converted into a multiobjective linear programming (MOLP) according to the order relation for comparing theLRflat fuzzy numbers. Besides, the classical fuzzy programming method is modified and then used to solve the MOLP problem. Based on the compromised optimal solution to the MOLP problem, the compromised optimal solution to the FFLP problem is obtained. At last, a numerical example is given to illustrate the feasibility of the proposed method.

scholarly journals A METHOD FOR SOLVING LINEAR PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS BASED ON MULTIOBJECTIVE LINEAR PROGRAMMING TECHNIQUE

2007 ◽  
Vol 24 (04) ◽  
pp. 557-573 ◽  
Author(s):  
M. ZANGIABADI ◽  
H. R. MALEKI
Keyword(s):  
Linear Programming ◽  
Programming Problem ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimization Problems ◽  
Multiobjective Linear Programming ◽  
Programming Technique ◽  
Linear Programming Problems ◽  
Linear Programming Technique ◽  
Fuzzy Parameters

In the real-world optimization problems, coefficients of the objective function are not known precisely and can be interpreted as fuzzy numbers. In this paper we define the concepts of optimality for linear programming problems with fuzzy parameters based on those for multiobjective linear programming problems. Then by using the concept of comparison of fuzzy numbers, we transform a linear programming problem with fuzzy parameters to a multiobjective linear programming problem. To this end, we propose several theorems which are used to obtain optimal solutions of linear programming problems with fuzzy parameters. Finally some examples are given for illustrating the proposed method of solving linear programming problem with fuzzy parameters.

Sign in / Sign up

Export Citation Format

Share Document