On a class of left-continuous uninorms constructed from the representable uninorm

Article type: Research Article

Authors: Li, Gang^{a; *} | Li, Zhenbo^b

Affiliations: [a] Faculty of Science, Qilu University of Technology (Shandong Academy of Sciences), Ji’nan, PR China | [b] School of Statistics, Shandong University of Finance and Economics, Ji’nan, PR China

Correspondence: [*] Corresponding author. Gang Li, Faculty of Science, Qilu University of Technology (Shandong Academy of Sciences), Ji’nan, Shandong 250353, PR China. E-mail: [email protected].

Abstract: Uninorms are an important generalization of triangular norms and triangular conorms, having a neutral element lying anywhere in the unit interval. Many different classes of uninorms have been discussed in literature. In this paper, a construction method for a class of left-continuous uninorms is proposed based on the representable uninorm. The idea stems from the rotation method. Some illustrative examples of such uninorms are provided.

Keywords: Uninorm, representable uninorm, additive generator, left continuity

DOI: 10.3233/JIFS-18758

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 6, pp. 6653-6661, 2019