Fuzzy Ultra Filters and Fuzzy G-Filters of MTL-Algebras

  • Xiao-hong Zhang
  • Yong-quan Wang
  • Yong-lin Liu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3613)

Abstract

The concepts of fuzzy ultra filters and fuzzy G-filters of MTL-algebras are introduced. Some examples are given and the following main results are proved: (1) a fuzzy filter of MTL-algebra is fuzzy ultra filter if and only if it is both a fuzzy prime filter and fuzzy Boolean filter; (2) a fuzzy filter of MTL-algebra is fuzzy Boolean filter if and only if it is both a fuzzy G-filter and fuzzy MV-filter.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Xiao-hong Zhang
    • 1
  • Yong-quan Wang
    • 2
  • Yong-lin Liu
    • 3
  1. 1.Faculty of ScienceNingbo UniversityNingboP.R.China
  2. 2.Information Technology CenterEast China University of Politics and LawShanghaiP.R.China
  3. 3.Department of MathematicsNanping Teachers CollegeNanpingP.R.China

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