Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2013; 28(4): 679-695

Printed October 1, 2013

https://doi.org/10.4134/CKMS.2013.28.4.679

Copyright © The Korean Mathematical Society.

A new type of hyper $K$-subalgebras

Young Bae Jun, Kyoung Ja Lee, and Min Su Kang

Gyeongsang National University, Hannam University, Hanyang University

Abstract

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

Keywords: hyper $K$-algebra, $(\in,$ $\in\! \vee \, {q})$-fuzzy hyper $K$-subalgebra, $(\overline{\in}, \overline{\in} \vee \overline{q})$-fuzzy hyper $K$-subalgebra, fuzzy hyper $K$-subalgebra with thresholds

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