In this paper, I present a modification of the scale-based framework of Sauerland & Stateva (2007, 2011) for modelling granularity—more precisely, of the so called granularity functions. Briefly, a granularity function maps a degree of a scale to an interval containing it such that the points within that interval are mutually indistinguishable. The proposed modification is a generalisation of the original framework suited for application in a wider range of domains, and it also fares better in overcoming some formal problems in modelling granularity-sensitive phenomena and vagueness.

中文翻译：

---

粒度建模的通用框架

在本文中，我对Sauerland＆Stateva（2007，2011）的基于比例的框架进行了修改，以对粒度进行建模，更确切地说，对所谓的粒度函数进行了建模。简而言之，粒度函数将标度的度数映射到包含该度数的区间，以使该区间内的点无法相互区分。提出的修改是对适用于更广泛领域的原始框架的概括，并且在克服对粒度敏感现象和模糊性建模方面的一些形式问题方面也表现得更好。