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Fuzzy implications in lattice effect algebras
Fuzzy Sets and Systems ( IF 3.2 ) Pub Date : 2020-05-07 , DOI: 10.1016/j.fss.2020.04.021
Wei Ji

Implications are one of the key operations in fuzzy logic and approximate reasoning. We prove that the Dishkant arrow in a lattice effect algebra is a partial triangular implication if and only if the lattice effect algebra is an MV-effect algebra. Then we show that a certain implication based on the Sasaki arrow is a partial triangular implication. Furthermore, we propose a new partial triangular implication, which is also a fuzzy implication in lattice effect algebras.



中文翻译:

格效应代数中的模糊含义

蕴涵是模糊逻辑和近似推理中的关键操作之一。我们证明,当且仅当晶格效应代数是MV效应代数时,晶格效应代数中的Dishkant箭头才是部分三角形蕴涵。然后,我们表明基于Sasaki箭头的某种含意是部分三角形的含意。此外,我们提出了一种新的偏三角蕴涵,它也是晶格效应代数中的模糊蕴涵。

更新日期:2020-05-07
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