JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (12): 63-67.doi: 10.6040/j.issn.1671-9352.0.2018.669

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L-fuzzy ideals in Quantale

LUO Qing-jun   

  1. School of Statistics, Xian University of Finance and Economics, Xian 710100, Shaanxi, China
  • Published:2019-12-11

Abstract: In the present paper, by applying L-fuzzy theory to Quantale, we introduce the notations of L-fuzzy ideals, L-fuzzy prime ideals and L-fuzzy primary ideals in Quantale, and investigate their properties. Several characterizations of such ideals are present. The concert structure of L-fuzzy ideals generated by L-fuzzy points is also obtained.

Key words: Quantale, L-fuzzy set, L-fuzzy ideal

CLC Number: 

  • O153.1
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