DocumentCode :
3258785
Title :
Linear Programming with Fuzzy Objective Function
Author :
Alolyan, Ibraheem
Author_Institution :
Dept. of Math., King Saud Univ., Riyadh, Saudi Arabia
fYear :
2013
fDate :
15-17 April 2013
Firstpage :
777
Lastpage :
778
Abstract :
The conventional Linear Programming (LP) model requires the parameters to be known as constants. In the real world, however, the parameters are seldom known exactly and have to be estimated. Interval programming is one of the tools to tackle uncertainty in mathematical programming models. In this paper, we consider LP problem whose coefficients are uncertain. The relations between closed and bounded intervals is derived, and the solution of such a problem is proposed by considering the partial orderings on the set of all closed intervals.
Keywords :
fuzzy set theory; linear programming; LP model; bounded intervals; closed intervals; coefficient uncertainty; fuzzy objective function; interval programming; linear programming; mathematical programming model; partial orderings; Linear programming; Mathematical model; Mathematical programming; Pareto optimization; Programming; Vectors; $mu$-ordering; Pareto Optimal; interval coefficients; interval objective function; partial orderings;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Technology: New Generations (ITNG), 2013 Tenth International Conference on
Conference_Location :
Las Vegas, NV
Print_ISBN :
978-0-7695-4967-5
Type :
conf
DOI :
10.1109/ITNG.2013.123
Filename :
6614410
Link To Document :
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