In the context of general rough sets, the act of combining two things to form another is not straightforward. The situation is similar for other theories that concern uncertainty and vagueness. Such acts can be endowed with additional meaning that go beyond structural conjunction and disjunction as in the theory of $*$-norms and associated implications over $L$-fuzzy sets. In the present research, algebraic models of acts of combining things in generalized rough sets over lattices with approximation operators (called rough convenience lattices) is invented. The investigation is strongly motivated by the desire to model skeptical or pessimistic, and optimistic or possibilistic aggregation in human reasoning, and the choice of operations is constrained by the perspective. Fundamental results on the weak negations and implications afforded by the minimal models are proved. In addition, the model is suitable for the study of discriminatory/toxic behavior in human reasoning, and of ML algorithms learning such behavior.

在广义粗糙集中，将两个事物结合形成另一个事物并不简单。本研究创造了结合事物的代数模型，用于研究人类推理中的怀疑主义或悲观主义聚合以及可能性聚合，并且选择的运算受到了视角的限制。该模型还适用于研究人类推理中的歧视性/有害行为以及学习此类行为的机器学习算法。

一般粗糙集合中合格聚合的代数模型与推理偏差发现