• Honam Mathematical Journal
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• v.27 no.4
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• pp.561-570
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• 2005

In this paper, we introduce the notion of positive implicative subtraction algebras and study some relations between R(L)-maps and positive implicativity in subtraction algebras.

• Journal of applied mathematics & informatics
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• v.30 no.3_4
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• pp.665-676
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• 2012

Fuzzifications of the notion of n-fold strong ideals are considered. Characterizations of fuzzy $n$-fold strong ideals are given.

• Journal of applied mathematics & informatics
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• v.30 no.3_4
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• pp.511-516
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• 2012

In this paper, we investigate $h$-stability of the nonlinear perturbed differential systems using the the notion of $t_{\infty}$-similarity.

• Journal of applied mathematics & informatics
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• v.31 no.1_2
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• pp.35-43
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• 2013

In this paper, we introduce the notion of $t$-convex vague sets and study their properties in details.

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.323-329
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• 1998

In this paper, we introduce a new class of sets, called $m$-sets, and the notion of $m$-continuity. In particular, $m$-sets and $m$-continuity are used to extend known results for ${\alpha}$-continuity and semi-continuity and precontinuity.

• Communications of the Korean Mathematical Society
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• v.27 no.4
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• pp.701-708
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• 2012

The notion of an enlarged $p$-ideal and a fuzzy $p$-ideal in BCI-algebras with degree are introduced. Related properties of them are investigated.

• Journal of the Korean Mathematical Society
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• v.44 no.1
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• pp.129-137
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• 2007

It is known that connectedness is one of the important notions in topology. In this paper, a new notion of connectedness is introduced in L-topological spaces, which is called PS-connectedness. It contains some nice properties. Especially, the famous K. Fan's Theorem holds for PS-connectedness in L-topological spaces.

• Honam Mathematical Journal
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• v.34 no.4
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• pp.549-557
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• 2012

The notion of vague $q$-ideals of BCI-algebras is introduced, and several properties of them are investigated. Relations between a vague ideal and a vague $q$-ideal are discussed. Characterizations of a vague $q$-ideal are considered.

• Honam Mathematical Journal
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• v.27 no.2
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• pp.141-162
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• 2005

In this paper, by considering the notion of hyperK-algebras of order 3 (which satisfies the simple or normal condition), we state and prove some theorems which determine the relationships between (weak) hyperK-ideals and positive implicative hyperK-ideals of type $1,{\ldots},8$.

• Honam Mathematical Journal
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• v.32 no.4
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• pp.675-687
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• 2010

In this paper the dual notion of tight closure of ideals relative to modules is introduced and some related results are obtained.