Skip to main content
SpringerLink
Log in

Lack of associative filters in lattice implication algebras

  • Original Paper
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

Jun et al. (Bull Korean Math Soc 35(1):53–61, 1998) introduced the notion of associative filters in lattice implication algebra and studied some of its properties. In this paper, we show that there is no associative filter in lattice implication algebra.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Jun YB (2001) Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras. Fuzzy Sets Syst 121:353357

    Google Scholar 

  • Jun YB (1997) Implicative filters of lattice implication algebras. Bull Korean Math Soc 34:193–198

    MATH  Google Scholar 

  • Jun YB, Xu Y, Qin KY (1998) Positive implicative and associative filters of lattice implication. Bull Korean Math Soc 35(1):53–61

    MathSciNet  MATH  Google Scholar 

  • Jun YB (2006) Topological aspects of filters in lattice implication algebras. Bull Korean Math Soc 43(2):227–233

    Article  MathSciNet  MATH  Google Scholar 

  • Liu J, Xu Y (1998) On the prime filters and decomposition theorem of lattice implication algebras. Fuzzy Math 6:1001–1008

    MathSciNet  MATH  Google Scholar 

  • Mokhtari S, Kordi A, Moussavi A, Ahmadi A (2010) On LI-ideals of lattice implication algebras. J Math Appl 32:67–74

    MathSciNet  Google Scholar 

  • Xu Y (1993) Lattice implication algebra. J Southwest Jiaotong Univ 28:20–27 (in Chinese)

    Google Scholar 

  • Xu Y, Qin KY (1993) On filters of lattice implication algebras. Fuzzy Math 1:251–260

    MathSciNet  MATH  Google Scholar 

  • Xu Y, Ruan D, Kerre EE, Liu J (2001) ∂-Resolution principle based on first-order lattice-valued logic LF(X). Inf Sci 132:221–239

    Article  MathSciNet  MATH  Google Scholar 

  • Yiquan Z, Wenbiao T (2001) A note on lattice implication algebras. Bull Korean Math Soc 38(1):191–195

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Hormozgan University, P.O. Box 3995, Bandarabbas, Iran

    Masoud Haveshki & Mahboobeh Mohamadhasani

Authors
  1. Masoud Haveshki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mahboobeh Mohamadhasani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Masoud Haveshki.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Haveshki, M., Mohamadhasani, M. Lack of associative filters in lattice implication algebras. Soft Comput 16, 737–738 (2012). https://doi.org/10.1007/s00500-011-0783-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-011-0783-3

Keywords

Mathematics Subject Classification (2000)

Search

Navigation