Affiliations: [a] School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, China
| [b] Key Laboratory of Knowledge Engineering with Big Data of Ministry of Education, School of Computer and Information, Hefei University of Technology, Hefei, P.R.China
Correspondence:
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Corresponding author. Gang Li, School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan, China. E-mail: [email protected].
Abstract: Relevancy transformation operators (RET operators) have been widely used in fuzzy systems modelling and the construction of weighted aggregation functions. Several construction methods of RET operators based on different aggregation functions such as t-norm, t-conorm and copula, have been proposed. In this paper, the attention is paid to the expression of RET operators, which is an important feature from an application the point of view. Polynomial RET operators are introduced as those RET operators in the form of polynomial functions of two variables. A complete characterisation of polynomial RET operators of degree less than 4 are presented.
