JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (02): 83-89.doi: 10.6040/j.issn.1671-9352.0.2014.270

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Falling fuzzy ideals of BL-algebras

YANG Yong-wei1,2, HE Peng-fei2, LI Yi-jun2   

  1. 1. School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, Henan, China;
    2. School of Mathematics, Northwest University, Xi'an 710127, Shaanxi, China
  • Received:2014-06-16 Revised:2014-10-15 Online:2015-02-20 Published:2015-01-27

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Abstract: The paper establishes a theoretical approach to fuzzy (implicative) ideals of BL-algebras based on the theory of falling shadows. Then the relationships between falling fuzzy (implicative) ideals and fuzzy (implicative) ideals are investigated. It is proved that every fuzzy (implicative) ideal is a falling fuzzy (implicative) ideal, but not vice versa. Finally, some characterizations of falling fuzzy (implicative) ideals are obtained.

Key words: BL-algebra, fuzzy ideal, falling fuzzy ideal, falling fuzzy implicative ideal

CLC Number: 

  • O159
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