International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

New types of bipolar fuzzy ideals of BCK-algebras

  • G. Muhiuddin1*
  • D. Al-Kadi2
  • A. Mahboob3
  • K.P. Shum
  1. University of Tabuk, Saudi Arabia
  2. Taif University, Taif 21974, Saudi Arabia
  3. Sri Vidya Mandir Arts and Science College, Uthangarai - 636902. Tamilnadu, India

* Corresponding author

Abstract

The notions of bipolar fuzzy closed, bipolar fuzzy positive implicative, bipolar fuzzy implicative ideals of BCK-algebras are introduced, and related properties are investigated. Characterizations of a closed, bipolar fuzzy positive implicative, bipolar fuzzy implicative ideals of BCK-algebras are given, and several properties are discussed. Finally, we prove that if T is an implicative BCK-algebra, then a fuzzy subset µ of T is a bipolar fuzzy ideal of T if and only if it is a bipolar fuzzy implicative ideal of T.

How to Cite

G. Muhiuddin, D. Al-Kadi, A. Mahboob, K. P. Shum, New types of bipolar fuzzy ideals of BCK-algebras, Int. J. Anal. Appl. 18 (2020), 859–875. https://doi.org/10.28924/2291-8639-18-2020-859

BibTeX
@article{Muhiuddin2020,
  author  = {Muhiuddin, G. and Al-Kadi, D. and Mahboob, A. and Shum, K.P.},
  title   = {New types of bipolar fuzzy ideals of BCK-algebras},
  journal = {Int. J. Anal. Appl.},
  volume  = {18},
  year    = {2020},
  pages   = {859--875},
  doi     = {10.28924/2291-8639-18-2020-859}
}

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