• The Pure and Applied Mathematics
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• v.13 no.2 s.32
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• pp.137-149
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• 2006

We introduce the notion of the generalized covariance and variance for bounded linear operators on Hilbert space, and prove that the generalized covariance-variance inequality holds. It turns out that the inequality is a useful formula in tile study of inequality involving linear operators in Hilbert spaces.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.1087-1094
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• 1996

In this paper, we introduce the notion of the n-th pretopological modification. Also, we find some properties which hold between convergence quotient maps and n-th pretopological modifications.

• Kyungpook Mathematical Journal
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• v.46 no.3
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• pp.409-416
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• 2006

The notion of Smarandache fresh and clean ideals is introduced, examples are given, and related properties are investigated. Relations between Q-Smarandache fresh ideals and Q-Smarandache clean ideals are given. Extension properties for Q-Smarandache fresh ideals and Q-Smarandache clean ideals are established.

• Honam Mathematical Journal
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• v.32 no.1
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• pp.17-27
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• 2010

In this paper we apply the notion of soft sets introduced by Molodtsov to the theory of BF-algebras. Soft BF-subalgebras and homomorphisms in soft BF-algebras are discussed.

• Honam Mathematical Journal
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• v.32 no.1
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• pp.77-84
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• 2010

In this paper, we introduce the notion of almost minimal precontinuous function and investigate characterizations for such a function.

• Honam Mathematical Journal
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• v.32 no.2
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• pp.203-215
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• 2010

The notion of strong ideal in BH-algebra is introduced and investigated some properties of it. Rough sets and rough strong ideals in BH-algebras are established and some related their properties are discussed.

• Journal of the Korean Society for Library and Information Science
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• v.15
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• pp.197-224
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• 1988

The kernel technique in game theory is introduced and modified in the notion of super kernel, which creates searching maps through the hierarchic clustering technique. The results show more Improved retrieval efficiency in terms of precision and recall.

• Journal of applied mathematics & informatics
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• v.28 no.1_2
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• pp.175-192
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• 2010

In this paper, we introduced the notion of T-vague n-ary subgroups on n-ary subgroups (G, f) and have studied their related properties.

• Korean Journal of Mathematics
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• v.8 no.2
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• pp.147-154
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• 2000

In this paper, with the notion of fuzzy ${\kappa}$-ideals of semirings, we discuss and review several results described in [4].

• Communications of the Korean Mathematical Society
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• v.26 no.1
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• pp.13-21
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• 2011

The aim of this paper is to introduce the notion of permuting tri-f-derivations in lattices and to study some properties of permuting tri-f-derivations.