%0 Journal Article
%A HUANG Fei1
%A LIAO Zuhua2
%T Measure of fuzzy filters and fuzzy prime filters on lattices
%D 2018
%R 10.3778/j.issn.1002-8331.1807-0051
%J Computer Engineering and Applications
%P 26-33
%V 54
%N 24
%X This paper mainly deals with the measure of fuzzy （prime） filters on lattices in fuzzy algebra. Firstly, the new concept of the measure of fuzzy （prime） filters is given and measures of fuzzy （prime） filters are used to discuss that the fuzzy subset is the degree of fuzzy （prime） filters. Secondly, equivalently describe of the measures of fuzzy （prime） filters is gotten by using the （strong） level set of fuzzy sets. Finally, the fuzzy （prime） filters degree of the intersection and the direct product of fuzzy subsets is discussed. Meanwhile, the measures of fuzzy （prime） filters properties about the homomorphism image and inverse image of the fuzzy subset of lattices is obtained.
%U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.1807-0051