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Mathematics 2018, 6(8), 138; https://doi.org/10.3390/math6080138

Intuitionistic Falling Shadow Theory with Applications in BCK/BCI-Algebras

1
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
2
Department of Mathematics, Jeju National University, Jeju 63243, Korea
3
Department of Mathematics Education, Hannam University, Daejeon 306-791, Korea
*
Author to whom correspondence should be addressed.
Received: 24 July 2018 / Revised: 3 August 2018 / Accepted: 6 August 2018 / Published: 13 August 2018
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Abstract

Intuitionistic falling shadow is introduced, and applied to B C K / B C I -algebras. Falling intuitionistic subalgebra and falling intuitionistic ideal of B C K / B C I -algebras are introduced, and related properties are investigated. Relations between falling intuitionistic subalgebra and falling intuitionistic ideal are discussed. A characterization of falling intuitionistic ideal is established. View Full-Text
Keywords: intuitionistic fuzzy subalgebra; intuitionistic fuzzy ideal; intuitionistic random set; intuitionistic falling shadow; falling intuitionistic subalgebra; falling intuitionistic ideal intuitionistic fuzzy subalgebra; intuitionistic fuzzy ideal; intuitionistic random set; intuitionistic falling shadow; falling intuitionistic subalgebra; falling intuitionistic ideal
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Jun, Y.B.; Song, S.-Z.; Lee, K.J. Intuitionistic Falling Shadow Theory with Applications in BCK/BCI-Algebras. Mathematics 2018, 6, 138.

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