迈向信念的图论模型：置信度、可信度与结构连贯性
Toward a Graph-Theoretic Model of Belief: Confidence, Credibility, and Structural Coherence
AI总结：
本文提出一种将信念系统表示为有向加权图的最小化形式体系，通过区分可信度与置信度来刻画信念的内部结构，从而实现对认知状态更丰富的分类。
摘要：
信念系统常被视为全局一致的命题集合或标量值的概率分布。此类表示往往掩盖信念的内部结构，将外部可信度与内部连贯性混为一谈，并阻碍对碎片化或矛盾认知状态的建模。本文提出一种将信念系统表示为有向加权图的最小化形式体系。在该框架中，节点代表个体信念，边编码认知关系（如支持或矛盾），两个不同的函数分别为每个信念赋予可信度（反映来源信任）和置信度（源自内部结构支持）。与经典概率模型不同，我们的方法不假设先验连贯性，也不要求信念更新。与逻辑和基于论证的框架不同，它支持细粒度的结构表示，而不承诺二值论证状态或演绎封闭性。该模型纯粹是静态的，刻意排除推理或修正过程。其目的是为分析信念系统的内部组织（包括连贯性条件、认知张力和表示限制）提供基础性基底。通过区分信念结构与信念强度，该形式体系比现有的概率、逻辑或基于论证的方法能够对认知状态进行更丰富的分类。
英文摘要：
Belief systems are often treated as globally consistent sets of propositions or as scalar-valued probability distributions. Such representations tend to obscure the internal structure of belief, conflate external credibility with internal coherence, and preclude the modeling of fragmented or contradictory epistemic states. This paper introduces a minimal formalism for belief systems as directed, weighted graphs. In this framework, nodes represent individual beliefs, edges encode epistemic relationships (e.g., support or contradiction), and two distinct functions assign each belief a credibility (reflecting source trust) and a confidence (derived from internal structural support). Unlike classical probabilistic models, our approach does not assume prior coherence or require belief updating. Unlike logical and argumentation-based frameworks, it supports fine-grained structural representation without committing to binary justification status or deductive closure. The model is purely static and deliberately excludes inference or revision procedures. Its aim is to provide a foundational substrate for analyzing the internal organization of belief systems, including coherence conditions, epistemic tensions, and representational limits. By distinguishing belief structure from belief strength, this formalism enables a richer classification of epistemic states than existing probabilistic, logical, or argumentation-based approaches.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
