An Equivalent Definition of Pan-Integral

@inproceedings{Ouyang2016AnED,
  title={An Equivalent Definition of Pan-Integral},
  author={Yao Ouyang and Jun Li},
  booktitle={MDAI},
  year={2016}
}
In this note, we introduce the concepts of support disjointness super-\(\oplus \)-additivity and positively super-\(\otimes \)-homogeneity of a functional (with respect to pan-addition \(\oplus \) and pan-multiplication \(\otimes \), respectively). By means of these two properties of functionals, we discuss the characteristics of pan-integrals and present an equivalent definition of the pan-integral. As special cases, we obtain the equivalent definitions of the Shilkret integral, the \(+,\cdot… CONTINUE READING

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