基于模糊值Choquet积分定义集函数的S性与PGP性  

The S Property and PGP Property of the Sets Functions Defined by Fuzzy Valued Choquet Integrals

作　　者：李艳红[1] 

机构地区：[1]辽东学院师范学院数学系,辽宁丹东118000

出　　处：《数学的实践与认识》2008年第5期158-162,共5页Mathematics in Practice and Theory

摘　　要：针对模糊测度空间上已建立的模糊值Choquet积分,将这种积分整体看成可测空间上取值于模糊数的集函数,当模糊测度满足一般S性和PGP性时,研究了这种模糊值集函数所保持的遗传性质.Aim at given the fuzzy valued Choquet integrals on the fuzzy measure spaces,we completely regard this kind of integrals as a set function taken fuzzy numbers on the measurable spaces. While fuzzy measure is satisfying to the S property and PGP property,the heredity of the fuzzy valued sets function is researched.

关 键 词：μ-可积 模糊数值Choquet积分 S性 PGP性 

分 类 号：O159[理学—数学]