• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.6
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• pp.848-851
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• 2009

In [5], we introduced the concepts of IVF m-semiopen sets and IVF m-semicontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we investigate some properties of IVF m-semiopen sets and characterizations for the IVF m-semicontinuous mapping.

• Honam Mathematical Journal
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• v.31 no.2
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• pp.239-245
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• 2009

In this paper, we introduce the notions of m-semiopen sets and M-semicontinuous functions on spaces with minimal structures and study some properties of such notions. In particular, we investigate characterizations for the M-semicontinuous function and the relationship between M-continuity and M-semicontinuity.

• Korean Journal of Mathematics
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• v.18 no.3
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• pp.261-269
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• 2010

We introduce the concept of fuzzy co-$r$-M-semicontinuous, and investigate the relationships between fuzzy co-$r$-M-semicontinuous mappings and several types of fuzzy $r$-minimal semicompactness.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.2
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• pp.223-229
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• 2010

We introduce the notion of weak M-semicontinuity which is a generalization of M-semicontinuity defined between spaces with minimal structures. We also investigate some properties and characterizations for such a notion.

• Honam Mathematical Journal
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• v.31 no.1
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• pp.31-43
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• 2009

We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and IVF m-preopen sets.

• Communications of the Korean Mathematical Society
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• v.27 no.2
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• pp.341-345
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• 2012

In this paper, we introduce the notions of minimal semicon-tinuity, strongly $m$-semiclosed graph, $m$-semiclosed graph, $m$-semi-$T_2$, $m$-semicompact and investigate some properties for such notions.

• Biotechnology and Bioprocess Engineering:BBE
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• v.8 no.1
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• pp.19-22
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• 2003

The semicontinuous production of red pigment by immobilized cells of Bacillus sp. B H-99 was investigated in comparison with free cells. The red pigment produced highest productivity under the conditions of aeration of 0.2 mL/min and 2 mm diameter of gel beads by using 3.0% sodium alginate. Semicontinuous production by immobilized cells showed the highest productivity with replacement of fresh production medium in every 72 h for fourth fermentation cycle following the conditions of red pigment productivity.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.2
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• pp.103-107
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• 2011

The concepts of fuzzy r-minimal semicompact, almost fuzzy r-minimal semicompact, and nearly fuzzy r-minimal semicompact on fuzzy r-minimal spaces arc introduced. We also investigate the relationships between fuzzy r-M-semicontinuous mappings and several types of fuzzy r-minimal semicompactness.

• Journal of the Korean Society of Food Science and Nutrition
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• v.19 no.5
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• pp.395-402
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• 1990

The semicontinuous production of blue pigment from gardenia fruit by immobilized cells of Bacillus subtilis KS-380 which excreted $\beta$-glucosidase was investigated in comparison with free cells, . The blue pigment produced higher productivity under the conditions of aeration of 0.2m$\ell$/min and 2mm diameter of gel beads by using 3.5% sodium alginate. Semicontinuous production by immobilized cell showed the highest productivity with replacement of fresh production medium in every 24hr for fourth fermentation cycle following the conditions of blue pigment productivity.

• Communications of the Korean Mathematical Society
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• v.27 no.3
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• pp.603-611
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• 2012

We introduce the concept of fuzzy $r$-minimal ${\alpha}$-open set on a fuzzy minimal space and some basic properties. We also introduce the concepts of fuzzy $r$-M ${\alpha}$-continuous and fuzzy $r$-M($M^*$) ${\alpha}$-open mappings, and investigate characterization for such mappings.