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Constructing Uninorms on Bounded Lattices Through Closure and Interior Operators
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems ( IF 1.5 ) Pub Date : 2024-02-20 , DOI: 10.1142/s0218488524500053
Gül Deniz Çaylı 1
Affiliation  

Uninorms combining t-conorms and t-norms on bounded lattices have lately drawn extensive interest. In this article, we propose two ways for constructing uninorms on a bounded lattice with an identity element. They benefit from the appearance of the t-norm (resp. t-conorm) and the closure operator (resp. interior operator) on a bounded lattice. Additionally, we include some illustrative examples to highlight that our procedures differ from others in the literature.



中文翻译:

通过闭包和内部运算符在有界格上构造统一规

最近,在有界格上结合 t-conorms 和 t-norms 的 Uninorms 引起了广泛的兴趣。在本文中,我们提出了两种在具有单位元的有界格上构造非范数的方法。它们受益于有界格上 t-范数(分别为 t-conorm)和闭包算子(分别为内部算子)的出现。此外,我们还提供了一些说明性示例,以强调我们的程序与文献中其他程序的不同。

更新日期:2024-02-20
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