SOME PROPERTIES OF RANDOM SETS ON SUGENO MEASURE SPACE

摘要：

As it is well known, the theory of random sets has many applications to several fields such as Mathematics Economics, Statistics, and Pattern Recognition. In this paper, we define the distribution function of random sets on Sugeno measure space which is more extensive than that on probability space. We obtain some properties of the Choquet integral of random sets, and also, we give the strong law of large numbers of random sets on Sugeno measure space which is very important to study Statistical Learning Theory and Support Vector Machine based on random sets.

关键词： Random sets Strong law of large numbers Choquet integral Sugeno measure

作者: MING-HU HA CHAO WANG

作者单位: College of Mathematics and Computer Science, Hebei University, Baoding, 071002, P.R.China

会议类型: 国际会议

会议名称: 2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

会议地点: 昆明

会议语种:英文

页码: 583-587

在线出版日期: 2008-07-12（万方平台首次上网日期，不代表论文的发表时间）