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Link to original content: https://doi.org/10.14736/kyb-2017-3-0394
Kybernetika - Article detail

Kybernetika 53 no. 3, 394-417, 2017

Construction of uninorms on bounded lattices

Gül Deniz Çaylı and Funda KaraçalDOI: 10.14736/kyb-2017-3-0394

Abstract:

In this paper, we propose the general methods, yielding uninorms on the bounded lattice $(L,\leq ,0,1)$, with some additional constraints on $e\in L\backslash \{0,1\}$ for a fixed neutral element $e\in L\backslash \{0,1\}$ based on underlying an arbitrary triangular norm $T_{e}$ on $[0,e]$ and an arbitrary triangular conorm $S_{e}$ on $[e,1]$. And, some illustrative examples are added for clarity.

Keywords:

triangular norm, triangular conorm, uninorms, bounded lattice

Classification:

03B52, 06B20, 03E72

paper.pdf

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