• 한국지능시스템학회논문지
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• 제16권1호
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• pp.108-112
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• 2006

In this paper, we investigate some characterizing theorems for fuzzy (r,s)-semicontinuous, (r,s)-semiopen and (r,s)-semiclosed mappings on the intuitionistic fuzzy topological space in $\eseck{S}ostak's$ sense.

• Biotechnology and Bioprocess Engineering:BBE
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• 제8권1호
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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.

• 충청수학회지
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• 제27권4호
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• pp.603-614
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• 2014

We introduce the concepts of ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s) (u, v)-semiclosures and ($\mathcal{T}^{{\mu}{\gamma}}$, $\mathcal{U}^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiinteriors. Using the notions, we investigate some of characteristic properties of double pairwise (r, s)(u, v)-semicontinuous, double pairwise (r, s)(u, v)-semiopen and double pairwise (r, s)(u, v)-semiclosed mappings.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
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• pp.149-152
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• 2006

By generalizing the definition of B. S. Zhong, we introduce the concept of fuzzy weakly ${\gamma}-semicontinuous$ maps in fuzzy topology of Chattopadhyay. Then the concept introduced by B. S. Zhong become special case of our definition. Also, we show that fuzzy weakly ${\gamma}-semicontinuity$ and fuzzy weakly ${\gamma}-continuity$ are independent notions.

• 한국지능시스템학회논문지
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• 제18권3호
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• pp.406-411
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• 2008

In this paper, we introduce the concept of fuzzy (r, s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The concepts of fuzzy (r, s)-pre-semineighborhood and fuzzy (r, s)-quasi-pre-semineighborhood are given. The characterizations for the fuzzy (r, s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r, s)-pre-semiopen and fuzzy (r, s)-pre-semiclosed mappings, and then we investigate some of their characteristic properties.

• 대한수학회지
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• 제31권3호
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• pp.493-519
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• 1994

In the KKM theory, there exist mutually equivalent fundamental theorems from which most of the other important results in the theory can be deduced. We give such fundamental theorems related to composites of upper semicontinuous (u.s.c.) multifunctions in a very large class.

• 충청수학회지
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• 제23권2호
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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.

• 한국식품영양과학회지
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• 제19권5호
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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.

• 호남수학학술지
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• 제31권1호
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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.

• 충청수학회지
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• 제26권4호
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• pp.691-702
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• 2013

We introduce the concepts of double bitopological spaces as a generalization of intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense and Kandil's fuzzy bitopological spaces. Also we introduce the concept of (${\tau}^{{\mu}{\gamma}}$, $U^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiopen sets and double pairwise (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.