Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON FUZZY FANTASTIC FILTERS OF LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae (Department of Mathematics Education, Gyeongsang National University) ;
  • Song, Seok-Zun (Department of Mathematics, Cheju National University)
  • Published : 2004.01.01

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Abstract

Fuzzification of a fantastic filter in a lattice implication algebra is considered. Relations among a fuzzy filter, a fuzzy fantastic filter, and fuzzy positive implicative filter are stated. Conditions for a fuzzy filter to be a fuzzy fantastic filter are given. Using the notion of level set, a characterization of a fuzzy fantastic filter is considered. Extension property for fuzzy fantastic filters is established. The notion of normal/maximal fuzzy fantastic filters and complete fuzzy fantastic filters is introduced, and some related properties are investigated.

Keywords

References

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