Computer Science ›› 2023, Vol. 50 ›› Issue (4): 63-76.doi: 10.11896/jsjkx.221000169

• Database & Big Data & Data Science • Previous Articles     Next Articles

Same Effect Relation and Concept Reduction in Formal Concept Analysis

MA Wensheng1, HOU Xilin2   

  1. 1 School of Electtronic and Information Engineering,Liaoning University of Science and Technology,Anshan,Liaoning 114051,China
    2 School of Business Administration,Liaoning University of Science and Technology,Anshan,Liaoning 114051,China
  • Received:2022-10-23 Revised:2022-11-27 Online:2023-04-15 Published:2023-04-06
  • About author:MA Wensheng,born in 1971,Ph.D candidate.His main research interest is big data application.
    HOU Xilin,born in 1960,Ph.D,professor.His main research interests include big data application and enterprise innovation system.

Abstract: Since 2018,scholars have proposed and studied a new topic of “concept reduction” in formal concept analysis.Including unnecessary concepts,core concepts,relatively necessary concepts,and the identification of three types of concepts,and research on concept reduction algorithm.In this paper,the same effect relation is proposed and its important properties are studied.It pre-sents a simple way to identify three types of concepts through the same effect relationship,and proposes a new algorithm for concept reduction which is based on the concept lattice of the complement set of subsets of the same effect relationship.For decades,the algorithm of “reduction topic” has adopted the method of conjunctive normal form and disjunctive normal form transformation.Many scholars even said that “reduction problem” was equivalent to the transformation of conjunctive paradigm and disjunctive paradigm.This paper studies a new method to solve the “reduction problem” without using the transformation between conjunctive normal form and disjunctive normal form.This new method is of significance both in theory and in practice.It is a new attempt.There are often many “concept reduction” in a background,so it is not very meaningful to find out all the results.Gene-rally,it is necessary to find out “concept reduction” containing some concepts,and the method in this paper has particular advantages in this respect.

Key words: Formal concept, Concept reduction, Same effect relation, Object concept, Attribute concept

CLC Number: 

  • TP311
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