【摘要】 在拟可加测度空间上通过引入拟乘算子重新定义广义Sugeno积分,针对依拟可加测度收敛的函数列,应用诱导算子和拟乘算子的运算性质讨论和分析广义Sugeno积分的收敛性,进而获得了这种广义Sugeno积分的单调增收敛定理.更多还原

【Abstract】 On quasi-additive measure space,the generalized Sugeno integral is defined again by introducing the induced operator and the quasi-multiplication operator.For the sequence of measurable functions which converges in quasi-additive measure,the convergence of generalized Sugeno integrals is obtained by means of the operation of the quasi-additive and quasi-multiplication operator.Finally,the monotone increasing convergence theorem of this kind of integrals is given.更多还原