AI 中文总结
本文提出歧义的觉知逻辑（ALA）这一形式框架，以三元解释状态为核心构建保结构演算，经理论推导与临床场景示例，证明其可用于标量投射前的歧义推理。
AI 中文摘要
本文引入歧义的觉知逻辑（ALA）作为一种形式框架，用于保序保留标量投射前的判断结构。一个评价行为由具有三个功能不同角色的三元解释状态表示：解释性估值、语境对齐与认知弃权（不执行）。ALA采用极性反转的认知序来处理弃权，证明所得状态空间构成有界分配格。该框架开发了弱和严格可容许的标量投射作为声明接口，以及保角色的算术核心、规范的许可与保守聚合算子。非坍缩定理确立：标量投射后相等的两个状态，在ALA格运算下可区分，故标量相等不蕴含操作等价性。论文还确立了三元组的条件语义极小性，将单位立方体视为更一般角色架构的归一化实值实现。一个高风险临床场景说明为何在明确选择标量报告或决策接口前，需将证据支持、语境对齐与行动弃权（不执行）保持分离。因此，ALA为标量投射前的歧义推理提供了保结构演算。
英文摘要
The Awareness Logic of Ambiguity (ALA) is introduced as a formal framework for preserving the structure of judgment before scalar projection. An evaluative act is represented by a triadic interpretive state with three functionally distinct roles: interpretive valuation, contextual alignment, and epistemic restraint. ALA uses a cognitive order with reversed polarity for restraint and shows that the resulting state space forms a bounded distributive lattice. It develops weakly and strictly admissible scalar projections as declared interfaces, together with a role-preserving arithmetic core and canonical permissive and conservative aggregation operators. The Non-Collapse Theorem establishes that two states that are equal after scalar projection may become distinguishable under an ALA lattice operation; hence scalar equality does not imply operational equivalence. The paper also establishes the conditional semantic minimality of the triad and treats the unit cube as the normalized real-valued realization of a more general role architecture. A high-stakes clinical scenario illustrates why evidential support, contextual alignment, and restraint toward action should remain separate until a scalar reporting or decision interface is explicitly chosen. ALA therefore provides a structure-preserving calculus for reasoning under ambiguity before projection.
Comments41 pages, 6 figures. Published in Journal of Fuzzy Extension and Applications, 7(2) (2026), 661-702
Journal refJournal of Fuzzy Extension and Applications 7(2) (2026) 661-702
DOI：10.22105/jfea.2026.582827.2294
