Rough Algebraic Semantics of Concepts in a Distributed Cognition Perspective

Document Type

Conference Article

Publication Title

Lecture Notes in Computer Science Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics

Abstract

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. This study thus provides directions for building AI models of distributed cognition, and related decision-making in general.

First Page

50

Last Page

66

DOI

10.1007/978-3-031-65665-1_4

Publication Date

1-1-2024

Link to Full Text

Share

COinS