JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (1): 68-74.doi: 10.6040/j.issn.1671-9352.4.2020.156

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F-C variable threshold concept lattices based on dependence spaces

ZHANG Jing, MA Jian-min*   

  1. School of Science, Changan University, Xian 710064, Shaanxi, China
  • Published:2021-01-05

Abstract: For a fuzzy formal context, a congruence relation is defined based on a variable precision operator on the power set of attributes. A congruence relation is obtained. Based on it, a dependence space is shown. By constructing a closure operator according to the congruence relation, the relationships between the closure operator and the variable precision concepts are discussed. Furthermore, applying the properties of the closure operator, we get that any fixed point of the closure operator is exactly the intension of some variable precision concept. Based on these, an algorithm to construct all variable precision concepts is obtained. Experiments are used to verify the feasibility of the proposed method.

Key words: fuzzy formal context, dependence space, congruence relation, closure operator

CLC Number: 

  • TP18
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