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The *Filter in Luk-Lindenbaum Algebra

LI Hai-xia， WU Hong-bo   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, Shaanxi, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: LI Hai-xia

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Abstract: The concept of the * filter is introduced according to the binary operator*in Luk-Lindenbaum algebra. With the corresponding knowledge of lattices, the properties of D(Γ) were studied. The main results of this paper are: (1)　the *filter is the same style as 〈D(Γ)〉;(2) the *filter coincides with the MP filter, both of them are common filters;(3) the maximal *filter in F(S)／～ is equal to the maximal filter in common sense.

Key words: maximal filter , *filter, filter, Luk-Lindenbaum algebra, fuzzy logic

CLC Number: 

  • O141.1
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