K-拟可加集值模糊积分的扩展性质

Some extended properties of the K-quasi-additive set-valued fuzzy integrals

借助于诱导算子引入了K-拟加法与K-拟乘法运算,针对已经建立的K-拟可加集值模糊积分,应用其积分转换定理进一步研究了这种K-拟可加集值模糊积分的扩展性质,从而丰富了可测集值映射的模糊积分理论.

In this paper, K-quasi-addition and K-quasi-multiplication operations are introduced by the inductiv operator, aiming at the K-quasi-additive set-valued fuzzy integrals which has been set up, applying the transformation theorem of the integral, further will discuss some extended properties of the K- quasi-additive set-valued fuzzy integrals, thereby, the theory of the fuzzy integrals of the measurable set-value mappings has been enriched.