摘要
利用凹凸模糊集的概念及凹凸模糊集在一维空间上的性质,定义了凹凸模糊集在n维空间上的单调性,运用分析学的方法将凹凸模糊集在R1上特征函数的性质推广到Rn上.
Concavo-convex fuzzy set is conceived by combining the concepts of convex and concave fuzzy sets.Based on the concept of concavo-convex fuzzy set and its properties in one dimensional space,the monotonicity of the concavo-convex fuzzy set is defined.Upon corresponding concepts and lemmas,the already obtained properties are generalized in R1to Rn by analysis method.
出处
《大连交通大学学报》
CAS
2010年第2期89-90,103,共3页
Journal of Dalian Jiaotong University
关键词
凹凸模糊集
N维空间
单调函数
concavo-convex fuzzy set
monotonically function
n-dimensional space
