• Honam Mathematical Journal
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• v.28 no.1
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• pp.57-67
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• 2006

we apply the hyperstructures to BCC-algebras, and introduce the concept of a hyper BCC-algebra which is a generalization of a BCC-algebra, and investigates some related properties. We also introduce the notion of a hyper BCC-subalgebra, BCC-scalar element and a hyper BCC-ideal, and discuss related properties.

• Honam Mathematical Journal
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• v.31 no.3
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• pp.335-349
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• 2009

Soft set theory by Molodtsov is applied to ideals in BCC-algebras. The notion of soft BCC-ideals of soft BCC-algebras and idealistic soft BCC-algebras are introduced, and several examples are provided. Relations between a fuzzy BCC-ideal and an idealistic soft BCC-algebra are given, and the characterization of idealistic soft BCC-algebras is established.

• East Asian mathematical journal
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• v.23 no.2
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• pp.247-255
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• 2007

Basic properties of branches of weak BCC-algebras and ideals of BCC-algebras containing only atoms are described.

• Kyungpook Mathematical Journal
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• v.45 no.1
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• pp.115-121
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• 2005

Using the concept of fuzzy points, the notions of fuzzy point BCC-(sub) algebras, quasi BCC-(sub)algebras and quasi BCC-ideals are introduced. Some characterizations of them are discussed.

• Honam Mathematical Journal
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• v.34 no.2
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• pp.263-271
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• 2012

Any BCK-ideal of a BCC-algebra can be decomposed into the union of some sets. The notion of a complicatedness and a derivation for a BCC-algebra is introduced and some related properties are obtained.

• Honam Mathematical Journal
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• v.35 no.2
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• pp.201-210
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• 2013

In this paper, we introduced the notion of multiplier of a BCC-algebra, and gave some properties of BCC-algebras. Also, we characterized kernels and normal ideals of multipliers on BCC-algebras.

• East Asian mathematical journal
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• v.26 no.3
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• pp.441-446
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• 2010

We characterize the main types of anti fuzzy ideals in weak BCC-algebras.

• East Asian mathematical journal
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• v.26 no.5
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• pp.641-647
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• 2010

Various characterizations of (m, n)-fold p-ideals of weak BCC-algebras are presented.

• Journal of applied mathematics & informatics
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• v.27 no.5_6
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• pp.1293-1305
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• 2009

Molodtsov [D. Molodtsov, Soft set theory First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCC-algebras. The notion of (trivial, whole) soft BCC-algebras and soft BCC-subalgebras are introduced, and several examples are provided. Relations between a fuzzy subalgebra and a soft BCC-algebra are given, and the characterization of soft BCC-algebras is established.

• Communications of the Korean Mathematical Society
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• v.23 no.2
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• pp.169-178
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• 2008

In this paper, we show how to associate certain topologies with special ideals of BCC-algebras on these BCC-algebras. We show that it is natural for BCC-algebras to be topological BCC-algebras with respect to theses topologies. Furthermore, we show how certain standard properties may arise. In addition we demonstrate that it is natural for these topologies to have many clopen sets and thus to be highly connected via the ideal theory of BCC-algebras.