DocumentCode
2564826
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
fYear
2009
fDate
11-14 Oct. 2009
Firstpage
262
Lastpage
267
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
Conference_Location
San Antonio, TX
ISSN
1062-922X
Print_ISBN
978-1-4244-2793-2
Electronic_ISBN
1062-922X
Type
conf
DOI
10.1109/ICSMC.2009.5345943
Filename
5345943
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