Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (3): 373-380.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.008

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Generalized (∈,∈∨q)-fuzzy Ideals in BCK-algebras

  

  1. School of Mathematics and Statistics, Chifeng University
  • Received:2013-11-15 Online:2015-09-30 Published:2020-11-20
  • About author:LIU Chun-hui(1982-), male, native of Chifeng, Inner Mongolia, a lecturer of Chifeng University, M.S.D., engages in domain theory, non-classical mathematical logic and topology.
  • Supported by:
    Supported by the National Science Foundation of China(60774073);

Abstract: In this paper, as a generalization of the notion of(∈, ∈∨ q)-fuzzy ideals, we introduced the notion of(∈, ∈∨ qδ)-fuzzy ideals and investigated their properties in BCKalgebras. Several equivalent characterizations of(∈, ∈∨ qδ)-fuzzy ideals are obtained and relations between(∈, ∈∨ qδ)-fuzzy ideals and ideals are discussed in BCK-algebras. 

Key words: BCK-algebra, ideal, fuzzy ideal; (∈, ∈∨ qδ-fuzzy ideal

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