Abstract
Yager's Ordered Weighted Averaging (OWA) operators have been extensively employed in academic literature as a means of aggregating information through the comparison of inputs. However, in cases where the inputs consist of basic uncertain information (BUI), which is partially unreliable, it becomes impractical to compare these inputs. As a result, the traditional method of OWA aggregation cannot be utilized. Hence, this study introduces a novel approach to establishing BUI OWA operators by employing problem factorization and integration techniques, akin to the principles underlying the Choquet integral. In addition, we engage in an examination of related properties and present a numerical illustration to showcase the practicality of the suggested approach. Finally, we discuss various methodologies for determining specific weights that can be used to define BUI OWA operators.
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