In this paper we introduced a new type of integrals based on binary element sets “a generalized integral of Shilkret and Choquet integrals” that combined the two kinds of aggregation functions which are Shilkret and Choquet integrals. Then, we gave some properties of that integral. Finally, we illustrated our integral in a numerical example.
Keywords: Aggregation functions, Choquet integral, Shilkret integral, binary element sets, generalized integral of Shilkret and Choquet integrals.
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