大连理工大学学报2012，Vol.52Issue(2)：304-308,5.
n维凸模糊集与n维模糊数
n-Dimensional convex fuzzy sets and n-dimensional fuzzy numbers
摘要
Abstract
Based on theory of n-dimensional fuzzy set,the definition of the n-dimensional convex fuzzy set is given.The properties of n-dimensional convex fuzzy sets are discussed by means of the properties of convex fuzzy sets.According to the above discussion and properties of fuzzy numbers,the notion of n-dimensional（closed） fuzzy numbers is introduced,and the corresponding operation properties and the representation theorem of n-dimensional（closed） fuzzy numbers are obtained.Furthermore,the above results are applied to establishing the foundation of the convex analysis of n-dimensional fuzzy set.关键词
n维模糊集/n维凸模糊集/n维模糊数Key words
n-dimensional fuzzy sets n-dimensional convex fuzzy sets n-dimensional fuzzy numbers分类
数理科学引用本文复制引用
商有光,张成,夏尊铨..n维凸模糊集与n维模糊数[J].大连理工大学学报,2012,52(2):304-308,5.基金项目
国家自然科学基金资助项目（90818025）. （）
