A novel approach for sensitivity analysis in linear programs with trapezoidal fuzzy numbers

2014 ◽  
Vol 27 (1) ◽  
pp. 173-185 ◽  
Author(s):  
Ali Ebrahimnejad ◽  
Jose Luis Verdegay
Keyword(s):  
Sensitivity Analysis ◽  
Fuzzy Numbers ◽  
Linear Programs ◽  
Trapezoidal Fuzzy Numbers ◽  
Novel Approach

BOUNDED LINEAR PROGRAMS WITH TRAPEZOIDAL FUZZY NUMBERS

2010 ◽  
Vol 18 (03) ◽  
pp. 269-286 ◽  
Author(s):  
ALI EBRAHIMNEJAD ◽  
SEYED HADI NASSERI ◽  
FARHAD HOSSEINZADEH LOTFI
Keyword(s):  
Linear Programming ◽  
Fuzzy Numbers ◽  
Natural Extension ◽  
Upper Bounds ◽  
Linear Programs ◽  
Bounded Linear ◽  
New Approach ◽  
Trapezoidal Fuzzy Numbers ◽  
Linear Programming Problems ◽  
Crisp Linear Programming

Recently Ganesan and Veeramani introduced a new approach for solving a kind of linear programming problems involving symmetric trapezoidal fuzzy numbers without converting them to the crisp linear programming problems. But their approach is not efficient for situations in which some or all variables are restricted to lie within fuzzy lower and fuzzy upper bounds. In this paper, by a natural extension of their approach we obtain some new results leading to a new method to overcome this shortcoming.

scholarly journals Sensitivity Analysis for Interval-valued Fully Fuzzy Linear Programming Problems

2012 ◽  
Vol 10 (6) ◽  
Author(s):  
Neha Bhatia ◽  
Amit Kumar
Keyword(s):  
Sensitivity Analysis ◽  
Linear Programming ◽  
Fuzzy Numbers ◽  
Fuzzy Linear Programming ◽  
New Method ◽  
Trapezoidal Fuzzy Numbers ◽  
Linear Programming Problems ◽  
Interval Valued

In previous studies, it is pointed out that in several situations it is better to use interval-valued fuzzy numbers insteadof triangular or trapezoidal fuzzy numbers. But till now, there is no method that deals with the sensitivity analysis ofsuch linear programming problems in which all the parameters are represented by interval-valued fuzzy numbers. Inthis paper, a new method is proposed for the sensitivity analysis. Finally, the proposed method is illustrated using anumerical example.

scholarly journals Mehar Methods for Fuzzy Optimal Solution and Sensitivity Analysis of Fuzzy Linear Programming with Symmetric Trapezoidal Fuzzy Numbers

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Sukhpreet Kaur Sidhu ◽  
Amit Kumar ◽  
S. S. Appadoo
Keyword(s):  
Sensitivity Analysis ◽  
Linear Programming ◽  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Fuzzy Linear Programming ◽  
New Method ◽  
Real Numbers ◽  
Trapezoidal Fuzzy Numbers ◽  
Fuzzy Optimal Solution ◽  
Linear Programming Problems

The drawbacks of the existing methods to obtain the fuzzy optimal solution of such linear programming problems, in which coefficients of the constraints are represented by real numbers and all the other parameters as well as variables are represented by symmetric trapezoidal fuzzy numbers, are pointed out, and to resolve these drawbacks, a new method (named as Mehar method) is proposed for the same linear programming problems. Also, with the help of proposed Mehar method, a new method, much easy as compared to the existing methods, is proposed to deal with the sensitivity analysis of the same type of linear programming problems.

New Method to Posynomial Geometric Programming of Trapezoidal Fuzzy Numbers

2013 ◽  
Vol 5 (3) ◽  
pp. 373-380
Author(s):  
Zeinab Kheiri ◽  
Faezeh Zahmatkesh ◽  
Bing-Yuan Cao
Keyword(s):  
Geometric Programming ◽  
Fuzzy Numbers ◽  
New Method ◽  
Trapezoidal Fuzzy Numbers
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