• Honam Mathematical Journal
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• v.30 no.3
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• pp.557-566
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• 2008

In this paper, we introduce the concept of IVF weakly continuity and investigate some characterizations for IVF weakly continuous mappings on the interval-valued fuzzy topological spaces. We introduce and study the concepts of almost IVF compactness and nearly IVF compactness.

• The Pure and Applied Mathematics
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• v.12 no.1
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• pp.75-91
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• 2005

The main objective of this paper is to introduce the gradation of neigh-bourhoodness in L-fuzzy topology and to introduce the fuzziness in the concept of convergence of L-fuzzy nets.

• The Pure and Applied Mathematics
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• v.15 no.3
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• pp.221-227
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• 2008

We introduce and study the new concepts of interior and closure operators on strong generalized neighborhood spaces. Also we introduce and investigate the concept of sgn-continuity on SGNS.

• Communications of the Korean Mathematical Society
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• v.23 no.1
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• pp.125-131
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• 2008

We introduce and study the concepts of strong generalized neighborhood systems, SGNS and sg-open sets. We also introduce and investigate the concept of (${\psi},\;{\psi}^'$)-continuity and sg-continuity on SGNS's.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.4
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• pp.675-686
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• 2011

The aim of this paper is two fold: One of them is to introduce a formal definition of ordinals which is equivalent to Neumann's definition without assuming the axiom of regularity. The other is to introduce the weak transfinite set and show that the weak transfinite set is a transfinite limit ordinal.

• Honam Mathematical Journal
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• v.44 no.4
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• pp.560-571
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• 2022

In this paper, firstly we introduce the concepts of deferred Cesàro summable and deferred statistically convergent function, and secondly we introduce the concepts of deferred almost summable and deferred almost statistically convergent functions. Furthermore, we investigate the relations between these concepts.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.3
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• pp.535-546
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• 2010

In this paper, we introduce a concept of a weak distance and show that AP is a bireflective subcategory of WD. Moreover, we introduce a concept of a co-tower which is an equivalent description of approach spaces.

• Proceedings of the Korean Institute Of Construction Engineering and Management
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• 2007.11a
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• pp.987-990
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• 2007

Warranty contracting is contracting methods that European Countries have applied to asphalt pavement projects from long ago, and in America as the expected effects of the warranty contracting are being verified to introduce it, the number of projects with warranty is being increased rapidly. In Japan, the warranty contracting suitable for Japanese style was established and is being applied. This study investigated and analyzed the present state of the warranty contracting being applied to European countries, America and Japan, and suggested advantages and disadvantages in introducing the warranty contracting into Korea and directions to introduce it. The principal result of this study is that performance bond contract system, performance surety bond system and performance bidding system should be established to introduce the warranty contracting into Korea.

• Communications of the Korean Mathematical Society
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• v.37 no.4
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• pp.1221-1248
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• 2022

In this paper we study the theory of knotoids and braidoids and the theory of pseudo knotoids and pseudo braidoids on the torus T. In particular, we introduce the notion of mixed knotoids in S², that generalizes the notion of mixed links in S³, and we present an isotopy theorem for mixed knotoids. We then generalize the Kauffman bracket polynomial, <; >, for mixed knotoids and we present a state sum formula for <; >. We also introduce the notion of mixed pseudo knotoids, that is, multi-knotoids on two components with some missing crossing information. More precisely, we present an isotopy theorem for mixed pseudo knotoids and we extend the Kauffman bracket polynomial for pseudo mixed knotoids. Finally, we introduce the theories of mixed braidoids and mixed pseudo braidoids as counterpart theories of mixed knotoids and mixed pseudo knotoids, respectively. With the use of the L-moves, that we also introduce here for mixed braidoid equivalence, we formulate and prove the analogue of the Alexander and the Markov theorems for mixed knotoids. We also formulate and prove the analogue of the Alexander theorem for mixed pseudo knotoids.

• Medical Lasers
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• v.10 no.3
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• pp.123-131
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• 2021

Optical imaging modalities with properties of real-time, non-invasive, in vivo, and high resolution for image-guided surgery have been widely studied. In this review, we introduce two optical imaging systems, that could be the core of image-guided surgery and introduce the system configuration, implementation, and operation methods. First, we introduce the optical coherence tomography (OCT) system implemented by our research group. This system is implemented based on a swept-source, and the system has an axial resolution of 11 ㎛ and a lateral resolution of 22 ㎛. Second, we introduce a fluorescence imaging system. The fluorescence imaging system was implemented based on the absorption and fluorescence wavelength of indocyanine green (ICG), with a light-emitting diode (LED) light source. To confirm the performance of the two imaging systems, human malignant melanoma cells were injected into BALB/c nude mice to create a xenograft model and using this, OCT images of cancer and pathological slide images were compared. In addition, in a mouse model, an intravenous injection of indocyanine green was used with a fluorescence imaging system to detect real-time images moving along blood vessels and to detect sentinel lymph nodes, which could be very important for cancer staging. Finally, polarization-sensitive OCT to find the boundaries of cancer in real-time and real-time image-guided surgery using a developed contrast agent and fluorescence imaging system were introduced.