摘要
研究实变量模糊数值的映射。首先引入凸模糊映射的概念,并定义实变量模糊数值映射的上方图。在此基础上,得到了一个实变量模糊数值映射是凸模糊映射的充分必要条件:这个实变量模糊数值映射的上方图是R×E中的一个凸集。基于此结论,得到了几个关于凸模糊映射经过运算后仍是凸模糊映射的结论。
Fuzzy number valued mapping of real number variable is studied. Convex fuzzy mapping and the epigraph of fuzzy mapping are defined. It is obtained that a fuzzy mapping is convex if and only if the epigraph of this fuzzy mapping is a fuzzy set in R×E. Finally, some conclusions that the operations of convex fuzzy mapping remain con- vex fuzzy mapping are obtained.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2009年第4期443-444,共2页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(10571035)
关键词
模糊数
凸模糊映射
凸集
fuzzy number
convex fuzzy mapping
convex set
