Given a pan-space () additivity, null-additivity, weak null-additivity and (S) property. Since the pan-integral based on a pair of pan-operations () , ⊕ ⊗ covers the Sugeno integral (based on () , ∨ ∧) and the Shilkret integral (based on () , ∨ ⋅), therefore, the previous related results for the Sugeno integral are covered by the results presented here, in the meantime, some special results related the Shilkret integral are also obtained.

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