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In the present paper a fuzzy bilevel optimization problem is under discussion. The purpose of the paper consists in finding an optimal solution for this problem. Besides the two well-known approaches (pessimistic and optimistic) there exists a quite new selection function approach, which we present here. A sensible attempt to solve a fuzzy bilevel optimization problem through reformulation to a crisp bilevel optimization problem is considered. Using Yager ranking indices technique an algorithm for searching an optimal solution of the fuzzy bilevel optimization problem is described.

Yager ranking index in fuzzy bilevel optimization