The Feature Description of Formal Context Based on the Relationships among Concept Lattices

Authors:
Open Access
Publisher website
Google Scholar
Abstract
Three-way concept analysis (3WCA) is extended research of formal concept analysis (FCA) by combining three-way decision. The three-way object oriented concept lattice (OEOL) is one of the important data structures which integrates rough set, concept lattice and three-way decision in 3WCA. In the paper, we investigate the characteristics of formal context based on the isomorphic relationship among the kinds of concept lattices with OEOL. Firstly, II-dual intersectable attributes and II-dual intersectable context are proposed and the relationship between the type I-dual intersectable context(dual intersectable context) and the type II-dual intersectable context are studied. In addition, the relationship among the kinds of concept lattices with OEOL are studied when the formal context is both I-dual intersectable context and II-dual intersectable context. Finally, the inverse problems of the above conclusions are discussed and the following two conclusions are obtained: (1) the formal context is the type II-dual intersectable context, when the object oriented concept lattice and OEOL are isomorphic. (2) In addition, the formal context is the type I-dual intersectable context, when the concept lattice and OEOL are anti-isomorphic.
Funding Information
  • National Natural Science Foundation of China (11801440,12001422)
  • Natural Science Basic Research Plan in Shaanxi Province of China (2019JQ-816)
  • Innovation and Entrepreneurship Training Program for College Students (202110705035)
  • 2021 Provincial College Students’ Innovation and Entrepreneurship Training Program in Henan Province (S202110479028)

This publication has 30 references indexed in Scilit: