On a new class of uninorms constructed by a uninorm on a sublattice of a bounded lattice

In this paper, we introduce two approaches for obtaining new classes of uninorms using the uninorm defined on a sublattice [0, k] (or [t, 1] ) of a bounded lattice L with a neutral element e is an element of]0,k[\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$e\in ] 0,k[ $$\end{document} (or e is an element of]t,1[\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$e\in ] t,1[ $$\end{document}) . As a by-product, these tools encompass some of the existing construction methods for uninorms on L. Moreover, we provide some examples to assess the differences between our methods and the existing approaches.