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FALLING SHADOWS APPLIED TO SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS

Jun, Young-Bae;Park, Chul-Hwan

  • Received : 2011.08.25
  • Accepted : 2012.04.12
  • Published : 2012.06.25

Abstract

falling subalgebra/ideal of a BCK/BCI-algebra is introduced. Relations between falling subalgebras and falling ideals are given. Relations between fuzzy subalgebras/ideals and falling sub-algebras/ideals are provided. A characterization of a falling ideal is established.

Keywords

Falling shadow;Cloud;(falling) subalgebra;(falling) ideal

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Cited by

  1. FALLING FUZZY BCI-COMMUTATIVE IDEALS vol.36, pp.3, 2014, https://doi.org/10.5831/HMJ.2014.36.3.555
  2. Intuitionistic Falling Shadow Theory with Applications in BCK/BCI-Algebras vol.6, pp.8, 2018, https://doi.org/10.3390/math6080138
  3. Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows vol.6, pp.9, 2018, https://doi.org/10.3390/math6090149