广义模糊值Choquet积分的零可加性  

On Null-additivity of Generalized Fuzzy Valued Choquet Integrals

作　　者：王贵君[1] 李晓萍[1] 

机构地区：[1]天津师范大学数学科学学院,天津300074

出　　处：《系统工程理论与实践》2004年第2期100-105,共6页Systems Engineering-Theory & Practice

基　　金：天津市高校科技发展基金(20031410);天津师范大学引进人才科研启动基金(1355RL016)

摘　　要：　在广义模糊测度空间的任一子集上,对给定的μ-可积模糊值函数,建立所谓广义模糊值Choquet积分,并将这种积分整体看成可测空间上取值于模糊数的集函数.首先,获得这种积分恰好构成模糊值(数)测度,其次,讨论当广义模糊测度满足次(超)可加,零可加和伪零可加性时,这种积分具有可传性.On an arbitrary subset in generalized fuzzy measure spaces, We establish so-called generalized fuzzy valued Choquet integral for a given \$μ\$-integrable fuzzy valued function, regard the whole this kind of integrals as a set functions taken fuzzy numbers on the measurable spaces. First, we obtain that this kind of integrals exactly constitute fuzzy valued (number ) measures, and then, we discuss that this kind of integrals have transitivity when generalized fuzzy measures satisfy subadditivity, superadditivity, null-additivity and converse-null-additivity.

关 键 词：广义模糊测度 μ-可积 广义模糊值Choquet积分 次(超)可加 零可加 伪零可加 

分 类 号：O159[理学—数学]