Fuzzy filters of MTL-algebras

  title={Fuzzy filters of MTL-algebras},
  author={Young Bae Jun and Yang Xu and Xiaohong Zhang},
  journal={Inf. Sci.},
Characterizations of fuzzy filters in MTL-algebras are given. The fuzzy filter generated by a fuzzy set is considered. The notion of Boolean fuzzy filters and MV-fuzzy filters are introduced and related properties are investigated. A condition for a fuzzy filter to be Boolean is provided. A characterization of a Boolean fuzzy filter is given. A congruence relation on a MTL-algebra induced by a fuzzy filter is established, and we show that the set of all congruence relations induced by a fuzzy… CONTINUE READING
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On fuzzy filters of MTL-algebras

  • K. H. Kim, Q. Zhang, Y. B. Jun
  • Journal of Fuzzy Mathematics
  • 2002
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