• Biotechnology and Bioprocess Engineering:BBE
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• v.9 no.4
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• pp.309-312
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• 2004

Aspergillus sojae B-l0 was immobilized and used to treat model dye compounds. The model wastewater, containing 10 ppm of azo dyes such as Amaranth, Sudan III, and Congo Red, was treated with cells attached to a rotating disc contactor (RDC). Amaranth was decolorized more easily than were Sudan III and Congo Red. Decolorization of Amaranth began within a day, and the dye was completely decolorized within 5 days of incubation. Both Sudan III and Congo Red were almost completely decolorized after 5 days of incubation. Semicontinuous decolorization of azo by reusing attached mycelia resulted in almost complete decolorization in 20 days. This experiment indicated that decolorization was successfully conducted by removing azo dyes with Aspergillus sojae B-10.

• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.251-264
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• 1995

Applications of the classical Knaster-Kuratowski-Mazurkiewicz (si-mply, KKM) theorem and the fixed point theory of multifunctions defined on convex subsets of topological vector spaces have been greatly improved by adopting the concept of convex spaces due to Lassonde [L1]. In this direction, the first author [P5] found that certain coincidence theorems on a large class of composites of upper semicontinuous multifunctions imply many fundamental results in the KKM theory.

• Honam Mathematical Journal
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• v.28 no.3
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• pp.417-431
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• 2006

The notions of IVF strongly semiopen (semiclosed) mappings and IVF strongly semicontinuous mappings are introduced, and several examples are provided. Related properties are investigated. In particular, characterizations of an IVF strongly semiopen mapping and an IVF strongly semicontinuous mapping are discussed.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1997.11a
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• pp.29-32
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• 1997

• Bulletin of the Korean Mathematical Society
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• v.34 no.3
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• pp.491-493
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• 1997

This is to clarify that Taskovic's extension of the Brouwer fixed point theorem is incorrectly stated.

• Honam Mathematical Journal
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• v.32 no.4
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• pp.701-709
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• 2010

We introduce the concepts of IVF irresolute mappings and IVF irresolute open mappings, and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces.

• Communications for Statistical Applications and Methods
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• v.9 no.3
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• pp.871-876
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• 2002

In this paper, we establish some characterizations of tightness for a sequence of random elements taking values in the space of upper-semicontinuous fuzzy sets with compact support in R.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2000.11a
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• pp.63-66
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• 2000

In this thesis, we introduce and investigate the notions of a fuzzy strongly ${\gamma}$-semineighbor-hood and a fuzzy strogly r-quasi-semineighborhood in fuzzy topological spaces which are generalizations of a fuzzy strongly semineighborhood and a fuzzy strongly quasi-semineighborhood, respectively.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2000.11a
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• pp.39-43
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• 2000

In this paper, we show that the fuzzy sample mean is a strong consistent estimator for the expectation of a fuzzy random set taking values in the space F(R$\^$/p) of upper semicontinuous convex fuzzy subsets of R$\^$/p with compact support.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.05a
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• pp.277-280
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• 2002

In this paper, we characterize the Borel $\sigma$-field generated by the Hausdorff-Skorokhod metric on the space of normal and upper-semicontinuous fuzzy sets with compact support in the Ecleadean space R$\^$n/. As a result. we give a characterization of measurable fuzzy mappings .