A branch and bound algorithm for the bilevel programming problem
SIAM Journal on Scientific and Statistical Computing
Hierarchical optimization: a satisfactory solution
Fuzzy Sets and Systems
Fuzzy approach for multi-level programming problems
Computers and Operations Research
A modified Hausdorff distance between fuzzy sets
Information Sciences: an International Journal
Multistage Fuzzy Control: A Prescriptive Approach
Multistage Fuzzy Control: A Prescriptive Approach
Formulation of fuzzy linear programming problems as four-objective constrained optimization problems
Applied Mathematics and Computation
Practical Bilevel Optimization: Algorithms and Applications (Nonconvex Optimization and Its Applications)
Decentralized multi-objective bilevel decision making with fuzzy demands
Knowledge-Based Systems
Journal of Global Optimization
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
On bilevel multi-follower decision making: General framework and solutions
Information Sciences: an International Journal
A hierarchical particle swarm optimization for solving bilevel programming problems
ICAISC'06 Proceedings of the 8th international conference on Artificial Intelligence and Soft Computing
Particle swarm optimization for bi-level pricing problems in supply chains
Journal of Global Optimization
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Bilevel-programming techniques are developed to handle decentralized problems with two-level decision makers, which are leaders and followers, who may have more than one objective to achieve. This paper proposes a λ-cut and goal-programming-based algorithm to solve fuzzy-linear multiple-objective bilevel (FLMOB) decision problems. First, based on the definition of a distance measure between two fuzzy vectors using λ-cut, a fuzzy-linear bilevel goal (FLBG) model is formatted, and related theorems are proved. Then, using a λ-cut for fuzzy coefficients and a goal-programming strategy for multiple objectives, a λ-cut and goal-programming-based algorithm to solve FLMOB decision problems is presented. A case study for a newsboy problem is adopted to illustrate the application and executing procedure of this algorithm. Finally, experiments are carried out to discuss and analyze the performance of this algorithm.