A theoretical study on the object (property) oriented concept lattices based on three-way decisions

  • Ting Qian
  • Ling WeiEmail author
  • Jianjun Qi


The three-way object oriented lattice and the three-way property oriented lattice are extend researches of rough concept analysis by combining three-way decisions. In this paper, we investigate them more comprehensively and detailedly. Firstly, the relationship between the object (property) oriented concept lattice and the three-way object (property) oriented concept lattice is studied, respectively. In addition, approaches to construct two types of three-way concept lattices based on apposition and subposition of formal contexts are given based on these relationships. Finally, since the methods for constructing three-way concept lattices and three-way object oriented and property oriented concept lattices are similar, the connections among them are discussed.


Formal context Concept lattice Three-way decisions Object (property) oriented concept lattice Three-way object (property)oriented concept lattice 



This work is partially supported by the National Natural Science Foundation of China (Grant Nos. 11801440, 11371014, 61772021, 61472471), the Innovation Talent Promotion Plan of Shaanxi Province for Young Sci-Tech New Star (Program No. 2017KJXX-60) and Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 18JK0627).

Compliance with ethical standards

Conflict of interest

All authors declare that there is no conflict of interests regarding the publication of this manuscript.

Ethical approval

This manuscript does not contain any studies with human participants or animals performed by any of the authors. This manuscript is the authors’ original work and has not been published nor has it been submitted simultaneously elsewhere.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.College of ScienceXi’an Shiyou UniversityXi’anPeople’s Republic of China
  2. 2.School of MathematicsNorthwest UniversityXi’anPeople’s Republic of China
  3. 3.School of Computer Science and TechnologyXidian UniversityXi’anPeople’s Republic of China

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