JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (3): 49-57.doi: 10.6040/j.issn.1671-9352.4.2021.005

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Structure and attribute reduction on non-commutative residual lattices 〈∈,∈Q〉-generalized fuzzy singular filter of interval-set

LUO Jun-li1, QIAO Xi-min2*, WU Hong-bo3   

  1. 1. School of Mathematics and Computer Application, Shangluo College, Shangluo 726000, Shaanxi, China;
    2. Department of Genera Education, Guangzhou College of Technology and Business, Foshan 510850, Guangdong, China;
    3. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China
  • Published:2022-03-15

Abstract: Based on the idea of interval-set, filter theory and generalized singular concept, the definitions of interval-set non-commutative residual lattices and interval-set non-commutative residual lattices generalized singular filters are introduced, the methods of constructing generalized fuzzy singular filters on interval-set non-commutative residual lattices and interval-set non-commutative residual lattices 〈∈,∈Q〉-generalized fuzzy singular filters are proposed, the relation between the essential attribute of the progressive form and the relative necessary attribute of interval-set is given, which embodies the diversity and relative independence of the algebraic structure.

Key words: interval-set, interval-set non-commutative residual lattices, generalized fuzzy singular filter, 〈∈,∈Q〉-generalized fuzzy singular filter, structure, attribute reduction

CLC Number: 

  • O141
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