A general model for fuzzy linear programming
Fuzzy Sets and Systems
A new approach to some possibilistic linear programming problems
Fuzzy Sets and Systems
Post optimality analysis on the membership functions of a fuzzy linear programming problem
Fuzzy Sets and Systems
Decomposition methods in stochastic programming
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
Linear programming with fuzzy variables
Fuzzy Sets and Systems
Evolutionary algorithm solution to fuzzy problems: Fuzzy linear programming
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Mathematical Models in Engineering and Management Science
Fuzzy Mathematical Models in Engineering and Management Science
Fuzzy Mathematical Programming: Methods and Applications
Fuzzy Mathematical Programming: Methods and Applications
Fully fuzzified linear programming, solution and duality
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Solving fuzzy (stochastic) linear programming problems using superiority and inferiority measures
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
Information Sciences: an International Journal
The use of parametric programming in fuzzy linear programming
Fuzzy Sets and Systems
Interactive multiobjective fuzzy random programming through the level set-based probability model
Information Sciences: an International Journal
Fuzzy goal programming - A parametric approach
Information Sciences: an International Journal
Fuzzy least-absolutes regression using shape preserving operations
Information Sciences: an International Journal
Information Sciences: an International Journal
Approximate solution of dual fuzzy matrix equations
Information Sciences: an International Journal
Information Sciences: an International Journal
Hi-index | 0.07 |
In this study, a generalized fuzzy linear programming (GFLP) method is developed for dealing with uncertainties expressed as fuzzy sets. The feasibility of fuzzy solutions of the GFLP problem is investigated. A stepwise interactive algorithm (SIA) based on the idea of design of experiment is then advanced to solve the GFLP problem. This SIA method was implemented through (i) discretizing membership grade of fuzzy parameters into a finite number of @a-cut levels, (ii) converting the GFLP model into an interval linear programming (ILP) submodel under every @a-cut level, (iii) solving the ILP submodels through an interactive algorithm and obtaining the associated interval solutions, (iv) acquiring the membership functions of fuzzy solutions through statistical regression methods. A simple numerical example is then proposed to illustrate the solution process of the GFLP model through SIA. A comparison between the solutions obtained though SIA and Monte Carlo method is finally conducted to demonstrate the robustness of the SIA method. The results indicate that the membership functions for decision variables and objective function are reasonable and robust.