Rough Concept Analysis: A Synthesis Of Rough Sets And Formal Concept Analysis

Authors:
Robert E. Kent
Affiliations:
Department of Computer and Information Science, University of Arkansas at Little Rock, Little Rock, Arkansas 72204, U.S.A.
Venue:
Fundamenta Informaticae
Year:
1996

Citing 2
Cited 5

Formal Concept Analysis with Many-Sorted Attributes

ICCI '93 Proceedings of the Fifth International Conference on Computing and Information
Rough Concept Analysis

RSKD '93 Proceedings of the International Workshop on Rough Sets and Knowledge Discovery: Rough Sets, Fuzzy Sets and Knowledge Discovery

Knowledge reduction in decision formal contexts

Knowledge-Based Systems
Incomplete decision contexts: Approximate concept construction, rule acquisition and knowledge reduction

International Journal of Approximate Reasoning
The strong direct product of formal contexts

Information Sciences: an International Journal
Review: Formal Concept Analysis in knowledge processing: A survey on models and techniques

Expert Systems with Applications: An International Journal
Relational Operations and Uncertainty Measure in Rough Relational Database

Fundamenta Informaticae

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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 [10] with the theory of Formal Concept Analysis pioneered by Rudolf Wille [11]. The central notion in this paper of a rough formal concept combines in a natural fashion the two notions of rough set and formal concept — to use a slogan: “rough set + formal concept = rough formal concept”. This paper is an extension of the paper [5] presented at the international workshop on Rough Sets and Knowledge Discovery (RSKD'93). A related paper [8] using distributed constraints provides a synthesis of the two important data modeling techniques: conceptual scaling of Formal Concept Analysis, and Entity-Relationship database modeling. A follow-up paper [9] will extend rough concept analysis from formal contexts to distributed constraints.