On a new class of uninorms constructed by a uninorm on a sublattice of a bounded lattice
Creators
- 1. Karadeniz Tech Univ, Fac Sci, Dept Math, TR-61080 Trabzon, Turkiye
Description
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.
Files
bib-d490608e-9133-45b1-8ba5-9b3868f7e4f8.txt
Files
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