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A general class of triangular norm-based aggregation operators: Quasi-linear \(T-S\) operators. (English) Zbl 1006.68160

Summary: This paper generalizes the well-known exponential and linear convex \(T-S\) aggregation operators into a wider class of compensatory aggregation operators, built as the composition of an arbitrary quasi-linear mean with a t-norm and a t-conorm, which are called quasi-linear \(T -S\) operators. These new operators are compared with other existing ones, and their main properties, such as the existence of neutral or annihilator elements, are studied. In particular, the self-duality property is investigated, and a characterization of an important family of self-dual quasi-linear \(T -S\) operators is provided.

MSC:

68U35 Computing methodologies for information systems (hypertext navigation, interfaces, decision support, etc.)
68T37 Reasoning under uncertainty in the context of artificial intelligence
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