Abstract:
Bilevel decision techniques are mainly developed for
solving decentralized management problems with decision makers in
a hierarchical organization. Organizational bilevel decision-making,
such as planning of land-use, transportation and water resource, all
may involve uncertain factors. The parameters shown in a bileved
programming model, either in the objective functions or constraints,
are thus often imprecise, which is called fuzzy parameter bilevel
programming (FPBLP) problem. Following our previous work [1, 21,
this study first proposes a model of FPBLP. It then gives the
definition of optimal solution for an FPBLP problem. Based on the
definition and related theorems, this study develops a fuzzy number
based Kuhn- Tucher approach to solve the proposed FPBLP problem.
Finally, an example further illustrates the power of the fuzzy number
based Kuhn-Tucher approach.
