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凹凸模糊集在R~n上的性质
Property of Concavo-Convex Fuzzy Set in R~n
【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.
【Abstract】 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.
【关键词】 凹凸模糊集;
n维空间;
单调函数;
【Key words】 concavo-convex fuzzy set; monotonically function; n-dimensional space;
【Key words】 concavo-convex fuzzy set; monotonically function; n-dimensional space;
- 【文献出处】 大连交通大学学报 ,Journal of Dalian Jiaotong University , 编辑部邮箱 ,2010年02期
- 【分类号】O159
- 【下载频次】35