Affiliations: [a] Business School, Nanjing Normal University, Nanjing, China
| [b] Machine Intelligence Institute, Iona College, New Rochelle, NY, USA | [c] Faculty of Economics, Matej Bel University, Banská Bystrica, Slovakia
| [d] Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia
| [e] Department of Algebra & Geometry, Faculty of Science, Palacky University Olomouc, Olomouc, Czech Republic
| [f] Department of Statistics, Computer Science and Mathematics, Public University of Navarre, Pamplona, Spain
Correspondence:
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Corresponding author. LeSheng Jin, Business School, Nanjing Normal University, Nanjing, China. E-mail: jls1980@163.com.
Abstract: Basic Uncertain Information (BUI) as a newly introduced concept generalized a wide range of uncertain information. The well-known Ordered Weighted Averaging (OWA) operators can flexibly and effectively model bipolar preferences of decision makers over given real valued input vector. However, there are no extant methods for OWA operators to be carried out over given BUI vectors. Against this background, this study firstly discusses the interval transformation for BUI and elaborately explains the reasonability within it. Then, we propose the corresponding preference aggregations for BUI in two different decisional scenarios, the aggregation for BUI vector without original information influencing and the aggregation for BUI vector with original information influencing after interval transformation. For each decisional scenario, we also discuss two different orderings of preference aggregation, namely, interval-vector and vector-interval orderings, respectively. Hence, we will propose four different aggregation procedures of preference aggregation for BUI vector. Some illustrative examples are provided immediately after the corresponding aggregation procedures.
