Models and Algorithms for Fuzzy Multi-objective Multi-follower Linear Bilevel Programming in a Partial Cooperative Situation
- 10.2991/iske.2007.29How to use a DOI?
- Bilevel programming, Branch and bound
Basic bilevel programming deals with hierarchical optimization problems in which the leader at the upper level attempts to optimize his/her objective, subject to a set of constraints and his/her follower’s solution, and the follower at the lower level tries to find an optimized strategy according to each of possible decisions made by the leader. Three issues may be involved in a basic bilevel decision problem. One is that bilevel decision making model may involve uncertain parameters which appear either in the objective functions or constraints of the leader or the follower or both. Second, the leader and the follower may have multiple conflict objectives that should be optimized simultaneously. Third, there may have multiple followers and partial shared their decision variables among followers in a real decision situation. Following our previous work, this study proposes a set of fuzzy multi-objective multi-follower linear bilevel programming models to describe the three issues. It also develops an approximation branch-and-bound algorithm to solve such kinds of problems
- © 2007, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Guangquan Zhang PY - 2007/10 DA - 2007/10 TI - Models and Algorithms for Fuzzy Multi-objective Multi-follower Linear Bilevel Programming in a Partial Cooperative Situation BT - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007) PB - Atlantis Press SP - 165 EP - 172 SN - 1951-6851 UR - https://doi.org/10.2991/iske.2007.29 DO - 10.2991/iske.2007.29 ID - Zhang2007/10 ER -