Atoms of monotone set-valued measures and integrals

作者：Wu, Jian-Rong^*; Kai, Xue-Wen; Li, Jiao-Jiao

来源：Fuzzy Sets and Systems, 2016, 304: 131-139.

DOI：10.1016/j.fss.2016.05.006

• Monotone set-valued measure
• Atoms
• Pseudo-atoms
• Integral

This paper first introduces the concept of a monotone set-valued measure and then focuses on the atoms and pseudo-atoms of the monotone set-valued measure space. Moreover, the paper proposes an integral, which is the integral of real-valued function with respect to the monotone set-valued measure, and shows some properties of this integral. Particularly, the paper gives the representations of integrals defined on atoms and pseudo-atoms. Some classical results are extended to the case of the monotone set-valued measure.

• 出版日期2016-12-1
• 单位苏州科技大学