An Objective Fuzzy Nonlinear Programming Problem with Symmetric Trapezoidal Fuzzy Numbers

M. Lalitha; Dr. C. Loganathan

doi:https://doi.org/10.14445/22315373/IJMTT-V37P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 37 | Number 1 | Year 2016 | Article Id. IJMTT-V37P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V37P505

An Objective Fuzzy Nonlinear Programming Problem with Symmetric Trapezoidal Fuzzy Numbers

M. Lalitha, Dr. C. Loganathan

Citation :

M. Lalitha, Dr. C. Loganathan, "An Objective Fuzzy Nonlinear Programming Problem with Symmetric Trapezoidal Fuzzy Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 37, no. 1, pp. 29-35, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V37P505

Abstract

In this paper, an objective fuzzy non linear programming problem with symmetric trapezoidal fuzzy numbers and proposed method are introduced .This method is easy to solve quadratic programming problem with non linear programming problem. The parameters of the objective function and constraints are fuzzy. The non linearity of the functions makes the solution of the problem much more involved compared to linear programming problem and there is no single algorithm like the simplex method. Finally numerical example is given by using ranking function of symmetric trapezoidal fuzzy numbers and proposed method.

Keywords

Ranking function, Symmetric trapezoidal fuzzy numbers, Objective fuzzy non linear programming, Modified Simplex method.

References

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