摘要: |
首先利用模糊映射的二次可微性,给出了预不变凸模糊映射的一个充要条件,然后建立了预不变凸模糊映射的一个等价条件,结果为预不变凸模糊映射的判断提供了一个新的思路. |
关键词: 预不变凸模糊映射,二次连续可微,半正定模糊矩阵,等价条件 |
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Some Properties of Preinvex Fuzzy Mapping |
ZHANG Cheng, LIU Xian
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Abstract: |
A necessary and sufficient condition for preinvex fuzzy mapping is given by making use of twice differentiable fuzzy mapping, then an equivalent condition of preinvex fuzzy mapping is built. The results provide new thoughts to verify preinvexity fuzzy mapping. |
Key words: preinvex fuzzy mapping twice continuous differentiable fuzzy mapping semi definite fuzzy matrix equivalent condition |