TL;DR
This paper introduces Rough Concept Analysis, a new theoretical framework combining Rough Sets and Formal Concept Analysis to enhance data modeling techniques.
Contribution
It develops the foundational theory of rough formal concepts, merging rough set theory with formal concept analysis for the first time.
Findings
Defines rough formal concepts as a synthesis of rough sets and formal concepts
Lays the theoretical groundwork for future integration with data modeling techniques
Proposes a new approach to conceptual data analysis
Abstract
The theory introduced, presented and developed in this paper, is concerned with Rough Concept Analysis. This theory is a synthesis of the theory of Rough Sets pioneered by Zdzislaw Pawlak with the theory of Formal Concept Analysis pioneered by Rudolf Wille. The central notion in this paper of a rough formal concept combines in a natural fashion the notion of a rough set with the notion of a formal concept: "rough set + formal concept = rough formal concept". A follow-up paper will provide a synthesis of the two important data modeling techniques: conceptual scaling of Formal Concept Analysis and Entity-Relationship database modeling.
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Taxonomy
TopicsRough Sets and Fuzzy Logic · Data Management and Algorithms · Web Data Mining and Analysis