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

Young Bae Jun, Seok-Zun Song and Kyoung Ja Lee
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Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
Seok-Zun Song: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Kyoung Ja Lee: Department of Mathematics Education, Hannam University, Daejeon 306-791, Korea

Mathematics, 2018, vol. 6, issue 8, 1-9

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.

Keywords: intuitionistic fuzzy subalgebra; intuitionistic fuzzy ideal; intuitionistic random set; intuitionistic falling shadow; falling intuitionistic subalgebra; falling intuitionistic ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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