Research On Methods Of Fuzzy Bil-level Programming And Its Application

It is a researchful hotspot of how to solve the fuzzy multilevel optimization problems that comprehensively exit in the economic management field. Fuzzy bilevel optimization problem is a basic form and typical composite of fuzzy multilevel optimization problems. So, this dissertation focuses on the fuzzy bilevel optimization problem.So far, fuzzy bilevel optimization problem has not been deeply and thoroughly researched. Some methods have been put forward aimed at special fuzzy bilevel problems that possess fuzzy parameters. In this paper, research literatures and the latest research fruits on bilevel optimization and fuzzy mathematics programs are fully studied. According to the sorting method of bilevel optimization and fuzzy program, bilevel optimization problems are classified into four kinds: one leader with one-follower bilevel optimization with fuzzy objects and fuzzy constrains and with fuzzy parameters, one leader with multi-followers bilevel optimization with fuzzy objects and fuzzy constrains and with fuzzy parameters.One leader with one-follower bilevel optimization with fuzzy constrains is transformed into distinct bilevel optimization.There are two methods for one leader with one-follower bilevel optimization with fuzzy objects and fuzzy constrains.One is to transforme the model to general optimization model using K-T condition.The other is a repeated arithmetic based on satisfaction degree.One leader with one-follower bilevel optimization with fuzzy parameters in the constraints is transformed into distinct bilevel optimization using satisfaction degree; one leader with one-follower bilevel optimization with fuzzy parameters in the objects and in objects and constraints are solved by K-T conditon and repeated arithmetic.One leader with multi-followers noninterconnected bilevel optimization with fuzzy objects is transformed into a general optimization model using K-T condition;one leader with multi-followers connected bilevel optimization with fuzzy parameters is solved by GA based on fuzzy imitation.Finally, the solution method of fuzzy bilevel optimization is applied in the synergic product family optimum design. The fifth charter emphasizes on the synergic product family optimum design with fuzzy mappings and general motor product family optimum design.