HYPER K-SUBALGEBRAS BASED ON FUZZY POINTS

Title & Authors
HYPER K-SUBALGEBRAS BASED ON FUZZY POINTS
Kang, Min-Su;

Abstract
Generalizations of the notion of fuzzy hyper K-subalgebras are considered. The concept of fuzzy hyper K-subalgebras of type ($\small{{\alpha},{\beta}}$) where $\small{{\alpha}}$, $\small{{\beta}}$ $\small{{\in}}$ {$\small{{\in}}$, q, $\small{{\in}{\vee}q}$, $\small{{\in}{\wedge}q}$} and $\small{{\alpha}{\neq}{\in}{\wedge}q}$. Relations between each types are investigated, and many related properties are discussed. In particular, the notion of ($\small{{\in}}$, $\small{{\in}{\vee}q}$)-fuzzy hyper K-subalgebras is dealt with, and characterizations of ($\small{{\in}}$, $\small{{\in}{\vee}q}$)-fuzzy hyper K-subalgebras are established. Conditions for an ($\small{{\in}}$, $\small{{\in}{\vee}q}$)-fuzzy hyper K-subalgebra to be an ($\small{{\in}}$, $\small{{\in}}$)-fuzzy hyper K-subalgebra are provided. An ($\small{{\in}}$, $\small{{\in}{\vee}q}$)-fuzzy hyper K-subalgebra by using a collection of hyper K-subalgebras is established. Finally the implication-based fuzzy hyper K-subalgebras are discussed.
Keywords
hyper K-algebra;fuzzy hyper K-subalgebra (of type ($\small{{\alpha}}$, $\small{{\beta}}$));support;($\small{{\in}}$, $\small{{\in}{\vee}q}$)-fuzzy hyper K-subalgebra;fuzzifying hyper K-subalgebra;implication-based fuzzy hyper K-subalgebra;
Language
English
Cited by
1.
A NEW TYPE OF HYPER K-SUBALGEBRAS,;;;

대한수학회논문집, 2013. vol.28. 4, pp.679-695
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