A new solution algorithm for solving rule-sets based bilevel decision problems

摘要

Bilevel decision addresses compromises between two interacting decision entities within a given hierarchicalrncomplex system under distributed environments. Bilevel programming typically solves bilevel decisionrnproblems. However, formulation of objectives and constraints in mathematical functions is required, whichrnare difficult, and sometimes impossible, in real-world situations because of various uncertainties. Our studyrndevelops a rule-set based bilevel decision approach, which models a bilevel decision problem by creating,rntransforming and reducing related rule sets. This study develops a new rule-sets based solution algorithm tornobtain an optimal solution from the bilevel decision problem described by rule sets. A case study and a setrnof experiments illustrate both functions and the effectiveness of the developed algorithm in solving a bilevelrndecision problem.