• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.883-894
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• 2021

The aim of this work is to introduce for the first time the concept of D-set. This is done by defining a special type of cover called a D-cover. we present some results to study the properties of D-compact spaces and their relations with other topological spaces. Several examples are discussed to illustrate and support our main results. Our results extend and generalized many will known results in the literature.

• International Journal of Control, Automation, and Systems
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• v.6 no.6
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• pp.928-938
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• 2008

This study presents an approach for approximation an unknown function from a numerical data set based on the synthesis of a neuro-fuzzy model. An adaptive input data space parting method, which is used for building hyperbox-shaped clusters in the input data space, is proposed. Each data cluster is implemented here as a fuzzy set using a membership function MF with a hyperbox core that is constructed from a min vertex and a max vertex. The focus of interest in proposed approach is to increase degree of fit between characteristics of the given numerical data set and the established fuzzy sets used to approximate it. A new cutting procedure, named NCP, is proposed. The NCP is an adaptive cutting procedure using a pure function $\Psi$ and a penalty function $\tau$ for direction the input data space parting process. New algorithms named CSHL, HLM1 and HLM2 are presented. The first new algorithm, CSHL, built based on the cutting procedure NCP, is used to create hyperbox-shaped data clusters. The second and the third algorithm are used to establish adaptive neuro- fuzzy inference systems. A series of numerical experiments are performed to assess the efficiency of the proposed approach.

• Journal of The Korean Digital Architecture Interior Association
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• v.8 no.2
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• pp.29-37
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• 2008

The purpose of this study was to analyze the customer demand for design development of digital convergence furniture in the living space of the ubiquitous home. This study used the individual survey method and was collected from July 1 to 20, 2008. The frequency and percentage were used for data analysis by SPSS window's 12. The results of the study were as follows: The first, a lot of survey targets were 30-40 years old, university graduates, over 50,000,000 won in annual income and 30-40 pyung in house size. The second, what types of activity were carried out in the living room were acquisition of knowledge>entertainment activity>communication activity>household chores. The third, what types of furniture were used in the living room were A/V furniture>table>sofa>computer table>bookself. The forth, customers preferred to picture telephone service in sociality, home-theater service in entertainment and home appliances remote control service in information service. The fifth, the digital functions which can integrate with the living roon furniture, in the item for A/V furniture, was front door control function which recognizes visitors with the screen. In the item for table was function to search internet and for sofa was self purification function. Finally, the digital convergence furniture is not only for one activity but also for various types of activities that can comprehensively function to materialize the concept of comfortable furniture in the living space.

• Journal of the Korean Institute of Rural Architecture
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• v.15 no.4
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• pp.43-50
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• 2013

This study is to clarify the characteristics and its change of spatial elements for community focused on the existing 22 old settlements in urban area of Cheongju. These community spaces are mainly divided into three parts, that is central space, inner road, and blind alley(cul-de-sac). The transitional characteristics of them are as follows. Firstly, the characteristics of central spaces is lasting, but the function is influenced by changing times. The function of central spaces located at the entrance to the village had been reduced to adjustments to modern lifestyle, and currently changed into senior citizen community center, supermarket, and public area. Secondly, as the width of the existing inner roads passed through old settlements had been extended, they are changed into pedestrian and traffic road, but the shape and function of them have been maintained. When new roads passed through old settlements had been established, the shape of old inner roads is disappeared, and the function of them is changed into byway and alley. Thirdly, cul-de-sacs of old settlements have tended to create a sense of community, but new cul-de-sacs formed by lot division have been only changed to passage. When new roads are established and cul-de-sacs are changed into alleys, the community between individual households is lost.

• The Transactions of the Korean Institute of Electrical Engineers D
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• v.50 no.11
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• pp.532-540
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• 2001

In this paper, we propose a probabilistic tabu search strategy for function optimization. It is composed of two procedures, one is Basic search procedure that plays a role in local search, and the other is Restarting procedure that enables to diversify search region. In basic search procedure, we use Belief space and Near region to create neighbors. Belief space is made of high-rank neighbors to effectively restrict searching space, so it can improve searching time and local or global searching capability. When a solution is converged in a local area, Restarting procedure works to search other regions. In this time, we use Probabilistic Tabu Strategy(PTS) to adjust parameters such as a reducing rate, initial searching region etc., which makes enhance the performance of searching ability in various problems. In order to show the usefulness of the proposed method, the PTS is applied to the minimization problems such as De Jong functions, Ackley function, and Griewank functions etc., the results are compared with those of GA or EP.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.19 no.2
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• pp.429-435
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• 2018

Space plays a very important role in the human residential environment. Space is where the direct experience of life and expansion of that experience are made out of simple residential space. In particular, kitchen space is where the importance of the living space is perceived and is becoming an everyday part of life through television programs. Thereby, kitchen space is where the culture of everyday life plays a role in communication based on the very important production and function of television culture. The kitchen is where various experiences emerge. It is a space where the phenomena of communicating through cooking, experiencing tastes, and communicating with family members is realized. The purpose of this study is to analyze the relationship between communication and production in the kitchen through analysis of "Yune Restaurant 1" on tvN channel. The results of this study show that the human kitchen space leads to expansion of various experiences in the process of various cultural discounts.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.145-150
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• 2015

Aussel et al. [1] introduced the notion of inverse quasi-variational inequalities (IQVI) by combining quasi-variational inequalities and inverse variational inequalities. Discussions are made in a finite dimensional Euclidean space. In this note, we develop an infinite dimensional version of IQVI by investigating some basic properties of the regularized gap function of IQVI in a Banach space.

• Korean Journal of Mathematics
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• v.14 no.2
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• pp.249-258
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• 2006

The weakened forms of the (${\theta},s$)-continuous function are introduced and their basic properties are investigated in concern with the other weakened continuous function. The open property of a function and the extremal disconnectedness of the spaces are crucial tools for the survey of these functions.

• Journal of applied mathematics & informatics
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• v.23 no.1_2
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• pp.435-443
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• 2007

An important approach towards solving the scattered data problem is by using radial basis functions. However, for a large class of smooth basis functions such as Gaussians, the existing theories guarantee the interpolant to approximate well only for a very small class of very smooth approximate which is the so-called 'native' space. The approximands f need to be extremely smooth. Hence, the purpose of this paper is to study approximation by a scattered shifts of a radial basis functions. We provide error estimates on larger spaces, especially on the homogeneous Sobolev spaces.

• Journal of the Korean Mathematical Society
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• v.41 no.1
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• pp.175-192
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• 2004

This talk discusses conditions on the numerical range of a holomorphic function defined on a bounded convex domain in a complex Banach space that imply that the function has a unique fixed point. In particular, extensions of the Earle-Hamilton Theorem are given for such domains. The theorems are applied to obtain a quantitative version of the inverse function theorem for holomorphic functions and a distortion form of Cartan's unique-ness theorem.