将模糊集理论、多目标规划、半定规划三者结合起来,提出含有约束的模糊多目标半定规划(FMSDP),构造隶属度函数。将模糊多目标半定规划转化为一般的多目标半定规划(MSDP)。通过引入隶属度函数及一系列的转化研究,给出一种模糊多目标规划的解法。
This paper proposes the fuzzy multi-objective semi-definite programming(FMSDP) model through the combination of the fuzzy set theory,multi-objective programming and semi-definite programming.By constructing a membership function,the FMSDP is converted into the multi-objective semi-definite programming(MSDP).At last,we offer an algorithm for FMSDP by introducing a new membership function and a series of transformation.