SpringerLink
Log in

Intuitionistic fuzzy sublattices and ideals

  • Original Article
  • Published:
Fuzzy Information and Engineering

Abstract

We study the concept of intuitionistic fuzzy sublattices and intuitionistic fuzzy ideals of a lattice. Some characterization and properties of these intuitionistic fuzzy sublattices and ideals are established. Also we introduce the sum and product of two intuitionistic fuzzy ideals and prove that the sum and product of two Intuitionistic fuzzy ideals of a distributive lattice is again an intuitionistic fuzzy ideal. Moreover, we study the properties of intuitionistic fuzzy ideals under lattice homomorphism.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

  1. Ajmal N, Thomas K V (1994) Fuzzy lattices. Information Sciences Vol.79: 271–291

    Article  MathSciNet  MATH  Google Scholar 

  2. Ajmal N, Thomas K V (2002) Fuzzy lattices I and II. Journal of Fuzzy Mathematics Vol.10, No.2: 255–296

    MathSciNet  MATH  Google Scholar 

  3. Ajmal N, Thomas K V (1994) Homomorphism of fuzzy subgroups, correspondences theorem and fuzzy quotient group. Fuzzy Sets and Systems 61: 329–339

    Article  MathSciNet  MATH  Google Scholar 

  4. Atanassov K T (1986) Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20(1): 87–96

    Article  MathSciNet  MATH  Google Scholar 

  5. Biswas R (1996) Intuitionistic fuzzy subgroups. Mathematical Forum, Vol.10: 39–44

    Google Scholar 

  6. Banerjee B, Basnet D K (2003) Intuitionistic fuzzy subring and ideals. Journal of Fuzzy Mathematics Vol.II, No.1: 139–155

    MathSciNet  Google Scholar 

  7. Brikhoff G (1967) Lattice theory. Published by American Mathematical Society, Providence, Rhode Island

    Google Scholar 

  8. Mordesaon J N, Malik D S (1998) Fuzzy cummutative algebra. World Scientific Publishing Co. USA

  9. Zadeh L A (1965) Fuzzy sets. Information and Control 8: 331–352

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Bharata Mata College, Thrikkakkara, Kochi, Kerala, India

    K. V. Thomas

  2. Department of Mathematics, Mar Athanasius College, Kothamangalam, Kochi, Kerala, India

    Latha S. Nair

Authors
  1. K. V. Thomas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Latha S. Nair
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to K. V. Thomas or Latha S. Nair.

About this article

Cite this article

Thomas, K.V., Nair, L.S. Intuitionistic fuzzy sublattices and ideals. Fuzzy Inf. Eng. 3, 321–331 (2011). https://doi.org/10.1007/s12543-011-0086-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12543-011-0086-5

Keywords

Search

Navigation