Cost parametric analysis of linear programming problems with fuzzy cost coefficients based on ranking functions Online publication date: Fri, 14-Apr-2017
by Ali Ebrahimnejad
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 8, No. 1, 2017
Abstract: Parametric analysis (PA) as a basic tool for studying perturbations in optimisation problems is applied to study the effect of the continuous variations of several parameters in the objective function coefficients on the optimum solution. To the best of our knowledge, till now there is no study in the literature to deal with the PA of the fuzzy linear programming problem in which the cost coefficients are represented by LR flat fuzzy numbers. In this paper, the parametric analysis for the same problem is investigated to determine the optimal solution and the fuzzy optimal objective values as a function of parameters when the fuzzy cost coefficients are perturbed along a new fuzzy cost vector. Then, its main advantages over the existing fuzzy sensitivity analysis problems are discussed. Finally, to show the application of fuzzy PA problem, an existing real-life fuzzy transportation problem is solved and the obtained results are explored.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com
Our Blog 
Follow us on Twitter 
Visit us on Facebook