New branch-and-bound rules for linear bilevel programming
SIAM Journal on Scientific and Statistical Computing
Hierarchical optimization: an introduction
Annals of Operations Research - Special issue on hierarchical optimization
Heuristic algorithms for delivered price spatially competitive network facility location problems
Annals of Operations Research - Special issue on hierarchical optimization
Interactive fuzzy programming for decentralized two-level linear programming problems
Fuzzy Sets and Systems - Theme: Decision and optimization
Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
Practical Bilevel Optimization: Algorithms and Applications (Nonconvex Optimization and Its Applications)
Decentralized multi-objective bilevel decision making with fuzzy demands
Knowledge-Based Systems
Multi-objective Group Decision Making: Methods, Software and Applications With Fuzzy Set Techniques
Multi-objective Group Decision Making: Methods, Software and Applications With Fuzzy Set Techniques
On bilevel multi-follower decision making: General framework and solutions
Information Sciences: an International Journal
A Fuzzy Bilevel Model and a PSO-Based Algorithm for Day-Ahead Electricity Market Strategy Making
KES '09 Proceedings of the 13th International Conference on Knowledge-Based and Intelligent Information and Engineering Systems: Part II
A bilevel optimization model and a PSO-based algorithm in day-ahead electricity markets
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
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In a bilevel decision problem, both the leader and the follower may have multiple objectives to optimize under certain constraints. In the meantime, these objective functions and constraints may contain some uncertain parameters. In addition, there may have multiple followers involved in a bilevel decision problem. These followers may share their individual decision variables with each other but keep individual objectives in reacting any of the leader's decisions, which is a common situation in real bilevel decision activities. This study deals with all above three issues, fuzzy parameters, multi-objectives, and multi-followers in a partial cooperative situation, at the same time. After a set of models for describing different cases of the fuzzy multi-objective multi-follower bilevel programming with partial cooperation (FMMBP-PC) problem, this paper develops an approximation branch-and-bound algorithm to solve this problem.