Monotonic argument-dependent OWA operators

Abstract

The ordered weighted averaging (OWA) operator introduced by Yager is one of the most popular aggregation technique. In this paper, we develop two kinds of argument‐dependent OWA (DOWA) operators including the pessimistic‐dependent OWA (PE‐DOWA) operator and optimistic‐dependent OWA (OP‐DOWA) operator, that point out that the PE‐DOWA operator is decreasing and the OP‐DOWA operator is increasing, and investigate some properties of our proposed monotonic DOWA operators in detail. Furthermore, we introduce the concept of original function in which a gradient vector generates the weights of the PE‐DOWA and OP‐DOWA operators. Meanwhile, we propose two classes of original functions including summing‐type original function and multiplying‐type original function and investigate the sufficient monotonic conditions for the DOWA operators generated by the original functions. Finally, we discuss the characteristics and properties of our proposed DOWA operators in detail and use a numerical example to illustrate the flexibility of our proposed operators.

A Novel Online Education Reform Model Based on Risky Decision-Making under the Situation of Internet Plus

“…ere are two cases of path weight, which are fully unknown and partially known. (iv) Step 4. e ordered weighted averaging (OWA) operator [32] is used to aggregate the path weight and utility function of each scheme to obtain the comprehensive utility value U(x i ), and the maximum value is the optimal scheme of online education reform.…”

On the orness of Bonferroni mean and its variants

“…The OWA operator has received considerable attention from the researchers of the intelligent system community and obtained meaningful results . One of the appealing points of the OWA operator is the notion of orness .…”