We propose the theory of indeterminate natural transformation (TINT) to investigate the dynamical creation of meaning as an association relationship between images, focusing on metaphor comprehension as an example. TINT models meaning creation as a type of stochastic process based on mathematical structure and defined by association relationships, such as morphisms in category theory, to represent the indeterminate nature of structure–structure interactions between the systems of image meanings. Such interactions are formulated in terms of the so-called coslice categories and functors as structure-preserving correspondences between them. The relationship between such functors is “indeterminate natural transformation,” the central notion in TINT, which models the creation of meanings in a precise manner. For instance, metaphor comprehension is modeled by the construction of indeterminate natural transformations from a canonically defined functor, which we call the base-of-metaphor functor.

我们提出了不确定自然变换（TINT）理论研究意义的动态创造作为图像之间的关联关系，以隐喻理解为例。TINT 将意义创造建模为一种基于数学结构并由关联关系定义的随机过程，例如范畴论中的态射，以表示图像意义系统之间结构-结构相互作用的不确定性。这种相互作用是根据所谓的 coslice 范畴和函子来表述的，作为它们之间保持结构的对应关系。这些函子之间的关系是“不确定的自然变换”，这是 TINT 的核心概念，它以精确的方式模拟意义的创造。例如，