论文标题
颗粒状的指向粗糙集，概念组织和软聚类
Granular Directed Rough Sets, Concept Organization and Soft Clustering
论文作者
论文摘要
本作者在较早的论文中介绍和研究了上方的粗糙集。在这项研究中，她在两个不同的粒状方向上扩展了这一点，具有令人惊讶的代数语义。颗粒是基于在上指导性下的广义封闭的观念基于的，可能被理解为一种弱结果的形式。这产生了满足谨慎单调的近似运算符，而pi-groupoidal近似（另外涉及战略选择和代数运算符）具有更好的特性。这项研究主要是由分布式认知观点，真实或虚拟课堂学习环境以及以学生为中心的教学中的概念结构的动机。还提出了涉及上定向关系的数据集的粗糙聚类技术（如《前哨项目图像数据》中）。预计这项研究将在相关领域中看到重要的理论和实际应用。
Up-directed rough sets are introduced and studied by the present author in earlier papers. This is extended by her in two different granular directions in this research, with a surprising algebraic semantics. The granules are based on ideas of generalized closure under up-directedness that may be read as a form of weak consequence. This yields approximation operators that satisfy cautious monotony, while pi-groupoidal approximations (that additionally involve strategic choice and algebraic operators) have nicer properties. The study is primarily motivated by possible structure of concepts in distributed cognition perspectives, real or virtual classroom learning contexts, and student-centric teaching. Rough clustering techniques for datasets that involve up-directed relations (as in the study of Sentinel project image data) are additionally proposed. This research is expected to see significant theoretical and practical applications in related domains.
