基于分解测度的模糊积分及收敛定理(英文)

THE FUZZY INTEGRAL BASED ON -DECOMPOSABLE MEASURE AND THE CONVERGENCE THEOREM

为了解决一些收敛定理 ,我们给出基于半环 ( [0 ,1 ], , )的伪可加分解测度的积分这种模糊积分被深入研究 .在给出这种积分的性质的基础上 ,我们得到一些收敛定理 ,它们是经典收敛定理的扩张 ,同时我们得到关于这种模糊测度的

Using integral based on pseudo additive decomposable measure with respect to pseudo addition(related to a semi ring (, ,)) a unified method is given to solve some convergence theorem.Further investigation of fuzzy integral based on pseudo additive decomposable measure are carried out.Finally Egoroff theorem will be obtain for that kind of fuzzy measure.