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

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.