Affiliations: [a] Business School, Nanjing Normal University, Nanjing, China
| [b] Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
| [c] Machine Intelligence Institute, Iona College, New Rochelle, NY | [d] School of Civil Engineering, Wuhan University, Wuhan, China
| [e] Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, Sk-810 05 Bratislava, Slovakia
| [f] Department of Algebra and Geometry, Faculty of Science, Palacký University, Olomouc, 17. listopadu 12, Olomouc, Czech Republic
| [g] Department of Statistics, Computer Science and Mathematics, Public University of Navarre, Campus Arrosadía, Pamplona, Spain
Correspondence:
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Corresponding author. Zhen-Song Chen, School of Civil Engineering, Wuhan University, Wuhan 430072, China. E-mail: zschen@whu.edu.cn.
Abstract: Motivated by a specific decision-making situation, this work proposes the concept and definition of unsymmetrical basic uncertain information which is a further generalization of basic uncertain information and can model uncertainties in some new decision-making situations. We show that unsymmetrical basic uncertain information in some sense can model linguistic hedges such as “at least” and “at most”. Formative weighted arithmetic means and induced aggregations are defined for the proposed concept. Rules-based decision making and semi-copula based integral for this concept with some numerical examples are also presented.
Keywords: Aggregation operators, basic uncertain information, evaluation, information fusion, integral, uncertainty, unsymmetrical basic uncertain information
