Title :
Solving fuzzy linear programming problems with Interval Type-2 RHS
Author :
García, Juan Carlos Figueroa
Author_Institution :
Lab. for Autom., Microelectron. & Comput. Intell. (LAMIC), Univ. Distrital Francisco Jose de Caldas, Bogota, Colombia
Abstract :
This paper presents two general methods to handle uncertainties in the right hand side parameters of a linear programming (LP) model by means of interval type-2 fuzzy sets (IT2 FS). In this paper, a LP problem with uncertain right side parameters treated as interval type-2 fuzzy sets is solved by two optimization strategies: The first one is a type-reduction method and the second one is a pre-defuzzified ¿ - cut approach. After the IT2 FS inference process, a real-valued solution must be found. In this way two methods based on classical optimization routines are presented to obtain optimal solutions when uncertain right hand side parameters exist.
Keywords :
fuzzy set theory; linear programming; fuzzy linear programming; interval type-2 RHS; interval type-2 fuzzy sets; optimization strategy; predefuzzified ¿-cut approach; right hand side parameter; type-reduction; Cybernetics; Equations; Fuzzy sets; Linear matrix inequalities; Linear programming; Optimization methods; Optimized production technology; USA Councils; Uncertainty; Vectors;
Conference_Titel :
Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
978-1-4244-2793-2
Electronic_ISBN :
1062-922X
DOI :
10.1109/ICSMC.2009.5345943