Abstract
In this note, we introduce the concepts of support disjointness super-⊕-additivity and positively super-⊗-homogeneity of a functional (with respect to pan-addition ⊕ and pan-multiplication ⊗, 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 +, ·-based pan-integral, and the Sugeno integral.
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CITATION STYLE
Ouyang, Y., & Li, J. (2016). An equivalent definition of pan-integral. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9880 LNAI, pp. 107–113). Springer Verlag. https://doi.org/10.1007/978-3-319-45656-0_9
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