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
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