JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 104-110.doi: 10.6040/j.issn.1671-9352.0.2016.400

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Lattice of(,∨(-overq))-fuzzy filters in a BL-algebra

LIU Chun-hui   

  1. Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, Inner Mongolia, China
  • Received:2016-08-24 Online:2017-10-20 Published:2017-10-12

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Abstract: (,∨(-overq))-fuzzy filter theory in BL-algebras is further studied. Some new properties of(,∨(-overq))-fuzzy filters are given. The notion of(,∨(-overq))-fuzzy filter which is generated by a fuzzy set is defined and its representation theorem is established. It is proved that the set of all(,∨(-overq))-fuzzy filters in a BL-algebra forms a complete distributive lattice.

Key words: distributive lattice, fuzzy logic, BL-algebra, complete lattice, (,∨(-overq))-fuzzy filter

CLC Number: 

  • O141.1
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