• Journal of applied mathematics & informatics
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• v.34 no.3_4
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• pp.331-340
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• 2016

The notion of θ-generalized int-soft subalgebras of BE-algebras is introduced, and related properties are investigated. Relations between int-soft subalgebras and θ-generalized int-soft subalgebras are discussed, and characterizations of θ-generalized int-soft subalgebras are considered.

• Journal of the Korean Institute of Intelligent Systems
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• v.18 no.4
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• pp.562-565
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• 2008

Intuitionistic fuzzifications of (strong) hyper K-subalgebras in hyper K-algebras are discussed, and related properties are investigated. Relations between intuitionistic fuzzy hyper K-subalgebras and intuitionistic fuzzy strong hyper K-subalgebras are provided.

• Communications of the Korean Mathematical Society
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• v.26 no.3
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• pp.385-403
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• 2011

Generalizations of the notion of fuzzy hyper K-subalgebras are considered. The concept of fuzzy hyper K-subalgebras of type (${\alpha},{\beta}$) where ${\alpha}$, ${\beta}$ ${\in}$ {${\in}$, q, ${\in}{\vee}q$, ${\in}{\wedge}q$} and ${\alpha}{\neq}{\in}{\wedge}q$. Relations between each types are investigated, and many related properties are discussed. In particular, the notion of (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebras is dealt with, and characterizations of (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebras are established. Conditions for an (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebra to be an (${\in}$, ${\in}$)-fuzzy hyper K-subalgebra are provided. An (${\in}$, ${\in}{\vee}q$)-fuzzy hyper K-subalgebra by using a collection of hyper K-subalgebras is established. Finally the implication-based fuzzy hyper K-subalgebras are discussed.

• Communications of the Korean Mathematical Society
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• v.18 no.3
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• pp.429-437
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• 2003

In this paper, we classify the subalgebras by their family of level subalgebras in B-algebras.

• Communications of the Korean Mathematical Society
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• v.19 no.2
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• pp.243-251
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• 2004

In this paper, we classify the subalgebras by their family of level subalgebras in BG-algebras.

• Honam Mathematical Journal
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• v.36 no.3
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• pp.623-635
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• 2014

Classications of (${\alpha},{\beta}$)-fuzzy subalgebras of BCK/BCI-algebras are discussed. Relations between (${\in},{\in}{\vee}q$)-fuzzy subalgebras and ($q,{\in}{\vee}q$)-fuzzy subalgebras are established. Given special sets, so called t-q-set and t-${\in}{\vee}q$-set, conditions for the t-q-set and t-${\in}{\vee}q$-set to be subalgebras are considered. The notions of $({\in},q)^{max}$-fuzzy subalgebra, $(q,{\in})^{max}$-fuzzy subalgebra and $(q,{\in}{\vee}q)^{max}$-fuzzy subalgebra are introduced. Conditions for a fuzzy set to be an $({\in},q)^{max}$-fuzzy subalgebra, a $(q,{\in})^{max}$-fuzzy subalgebra and a $(q,{\in}{\vee}q)^{max}$-fuzzy subalgebra are considered.

• Honam Mathematical Journal
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• v.36 no.1
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• pp.43-54
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• 2014

The notions of cubic subalgebras and cubic filters in CI-algebras are introduced, and related properties are investigated. Characterizations of cubic subalgebras are considered. Conditions for a cubic set to be a cubic filter are provided.

• Honam Mathematical Journal
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• v.34 no.2
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• pp.135-144
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• 2012

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.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.1049-1056
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• 2008

Intuitionistic Fuzzifications of strong hyper K-ideals and hyper K-subalgebras in hyper K-algebras are discussed, and related properties are investigated. Relations between intuitionistic fuzzy hyper K-subalgebras, intuitionistic fuzzy weak hyper K-ideals and intuitionistic fuzzy strong hyper K-ideals are provided.

• Communications of the Korean Mathematical Society
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• v.28 no.4
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• pp.679-695
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• 2013

In this paper, the concept of ($\bar{\in},\bar{\in}{\vee}\var{q}$)-fuzzy hyper K-subalgebras and fuzzy hyper K-subalgebras with thresholds are introduced, and related properties and characterizations are discussed.