Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Optimization and Reoptimization in Fuzzy Linear Programming problems

Authors
Behrouz Kheirfam, José-Luis Verdegay
Corresponding Author
Behrouz Kheirfam
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.80How to use a DOI?
Keywords
Fuzzy linear programming Trapezoidal fuzzy numbers Dual simplex method
Abstract
Fuzzy Linear Programming models are quite frequent in practice. The dynamic nature of the real problems often requires reoptimize from the optimal solutions found, what may mean a significant consumption of time and funds. In this paper, in order to efficiently solve this problem, first the optimality conditions and the duality results for fully fuzzy linear programming problems (all parameters and variables are symmetric trapezoidal fuzzy numbers) are generalized. Then, one proposes a fuzzy dual simplex method for solving these problems without the need of converting them to conventional linear programming problems. The resulting algorithm is flexible and easy of applying. For the sake of illustration, finally, an easy example is solved.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.80How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Behrouz Kheirfam
AU  - José-Luis Verdegay
PY  - 2013/08
DA  - 2013/08
TI  - Optimization and Reoptimization in Fuzzy Linear Programming problems
BT  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.80
DO  - https://doi.org/10.2991/eusflat.2013.80
ID  - Kheirfam2013/08
ER  -