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On Generating of t-Norms and t-Conorms on Bounded Lattices
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems ( IF 1.5 ) Pub Date : 2020-09-03 , DOI: 10.1142/s021848852050035x
Gül Deniz Çaylı 1
Affiliation  

In this paper, we study t-norms and t-conorms on bounded lattices. We propose new methods for generating these operators, applicable on any bounded lattice M by use of the presence of a t-norm on [0M, k] and a t-conorm on [k, 1M] for an element k ∊ M\{0M, 1M}. In addition, some corresponding examples are provided for well understanding the structure of new t-norms and t-conorms.

中文翻译:

关于在有界格上生成 t-范数和 t-Conorms

在本文中,我们研究了有界格上的 t-范数和 t-conorms。我们提出了生成这些算子的新方法,通过使用 [0, k] 和 [k, 1 上的 t-conorm] 对于元素 k ∊ M\{0, 1}。此外,还提供了一些相应的例子,以便更好地理解新的 t-norms 和 t-conorms 的结构。
更新日期:2020-09-03
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