Title
Choosing robust solutions in discrete optimization problems with fuzzy costs
Abstract
In this paper a wide class of discrete optimization problems, which can be formulated as a 0-1 linear programming problem is discussed. It is assumed that the objective function costs are not precisely known. This uncertainty is modeled by specifying a finite set of fuzzy scenarios. Under every fuzzy scenario the costs are given as fuzzy intervals. Possibility theory is then applied to chose a solution in such a problem and mixed integer linear programming models are proposed to compute this solution.
Year
DOI
Venue
2009
10.1016/j.fss.2008.09.001
Fuzzy Sets and Systems
Keywords
Field
DocType
robust solution,fuzzy interval,possibility theory,fuzzy cost,fuzzy scenario,linear programming problem,wide class,finite set,mixed integer linear programming,objective function cost,discrete optimization problem,objective function,minmax,discrete optimization,robust optimization,linear program
Mathematical optimization,Defuzzification,Fuzzy set operations,Robust optimization,Fuzzy transportation,Combinatorial optimization,Fuzzy number,Stochastic programming,Optimization problem,Mathematics
Journal
Volume
Issue
ISSN
160
5
Fuzzy Sets and Systems
Citations 
PageRank 
References 
18
0.71
18
Authors
2
Name
Order
Citations
PageRank
Adam Kasperski135233.64
Michał Kulej2241.16