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：

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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。