Jin, LeshengChen, Zhen-SongPedrycz, WitoldSenapati, TapanYatsalo, BorisMesiar, RadkoBeliakov, Gleb2024-05-192024-05-1920242471-285Xhttps://doi.org10.1109/TETCI.2023.3332557https://hdl.handle.net/20.500.12713/5663There exist various categories of uncertain information, and their corresponding methods of aggregation may also vary. At present, there exists a dearth of specifically tailored techniques for aggregating basic uncertain information (BUI). The present study introduces a two-step aggregation frame that is applicable to inputs of both real-valued and BUI-valued inputs. In the process of constructing such a frame, several novel notions and definitions are introduced. These comprise of extended aggregation operators with respect to a finite set and to a collection of subsets of the set, some certainty independent BUI aggregation and some certainty dependent BUI aggregation, BUI merging operators and BUI aggregation operators, BUI-valued min operator, and BUI-valued Sugeno integral. Some corresponding deductions, necessary reasoning and numerical examples are presented.eninfo:eu-repo/semantics/closedAccessUncertaintyMergingFuzzy SetsIeee Senior MembersBusinessArithmeticWeight MeasurementAggregation OperatorBasic Uncertain InformationEvaluation And Decision MakingSugeno IntegralTwo-Step AggregationUncertain InformationArticle8211021109WOS:0011190108000012-s2.0-85178039793N/A10.1109/TETCI.2023.3332557Q1