• Journal of Institute of Control, Robotics and Systems
• /
• v.17 no.8
• /
• pp.731-738
• /
• 2011

In this paper, we introduce an advanced architecture of K-Means clustering-based polynomial Radial Basis Function Neural Networks (p-RBFNNs) designed with the aid of SSOA (Space Search Optimization Algorithm) and develop a comprehensive design methodology supporting their construction. In order to design the optimized p-RBFNNs, a center value of each receptive field is determined by running the K-Means clustering algorithm and then the center value and the width of the corresponding receptive field are optimized through SSOA. The connections (weights) of the proposed p-RBFNNs are of functional character and are realized by considering three types of polynomials. In addition, a WLSE (Weighted Least Square Estimation) is used to estimate the coefficients of polynomials (serving as functional connections of the network) of each node from output node. Therefore, a local learning capability and an interpretability of the proposed model are improved. The proposed model is illustrated with the use of nonlinear function, NOx called Machine Learning dataset. A comparative analysis reveals that the proposed model exhibits higher accuracy and superb predictive capability in comparison to some previous models available in the literature.

• East Asian mathematical journal
• /
• v.17 no.1
• /
• pp.1-17
• /
• 2001

In this paper, fuzzy D-continuous function is defined. Some basic properties of this continuity are summarized; and sufficient conditions on domain and/or ranges implying fuzzy D-continuity of fuzzy D-continuous functions are given. Also fuzzy D-regular space is defined and by using fuzzy D-continuity, the condition which is equivalent to fuzzy D-regular space, is given.

• Communications of the Korean Mathematical Society
• /
• v.15 no.1
• /
• pp.77-90
• /
• 2000

In this paper, we will establish the existence theorem of the operator valued function space integral over paths in abstract Wiener space under the general conditions rather than the known conditions.

• Korean Journal of Mathematics
• /
• v.5 no.2
• /
• pp.127-134
• /
• 1997

On the setting of the upper half-space of the euclidean n-space, we study some properties of harmonic little Bloch functions and we show that for a given harmonic little Bloch function $u$, there exists unique harmonic conjugates of $u$, which are also little Bloch functions with appropriate norm bounds.

• The Pure and Applied Mathematics
• /
• v.12 no.1
• /
• pp.17-31
• /
• 2005

In this paper we prove common fixed point theorems for three mappings under the condition of weak compatible mappings, without taking any function continuous in fuzzy metric space and then extend this result to fuzzy 2-metric space and fuzzy 3-metric space.

• Bulletin of the Korean Space Science Society
• /
• 1999.09a
• /
• pp.11-11
• /
• 1999

No Abstract, See Full Text

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.30 no.7 s.250
• /
• pp.787-793
• /
• 2006

Recently kriging model has been widely used in the DACE (Design and Analysis of Computer Experiment) because of prominent predictability of nonlinear response. Since DACE has no random or measurement errors contrast to physical experiment, space filling experimental design that distributes uniformly design points over whole design space should be employed as a sampling method. In this paper, we examine the maximum entropy experimental design that reveals the space filling strategy in which defines the maximum entropy based on Gaussian or exponential. The influence of these two correlation functions on space filling design and their model parameters are investigated. Based on the exploration of numerous numerical tests, enhanced maximum entropy design based on exponential correlation function is suggested.

• Journal of the Korean housing association
• /
• v.13 no.2
• /
• pp.65-71
• /
• 2002

Recently, the space organization of Korean-Chinese houses is different from that of other territories. The characteristics of eating and dinning space for Korean-Chinese Multi-family Housing are as follows ; ⅰ) The most obvious change in Korean-Chinese urban housing style was seen in kitchen space, which can be classify three types such as traditional type, improved type, and LDK type on the bases of heating and cooking method. ⅱ) Special feature of Korean-Chinese housing in Yanji city was that kitchen fulfilled important functions such as heating, cooking, dinning, sleeping, bathing and washing. Since then, each function was separated and functions of kitchen were cut down after all. iii) The arrangement of kitchen space have changeed according to the change of heating fuel, heating system, equipment, relatcd policy, etx. Multi-function kitchen discovered only in Yanji had lasted until 1980's by equipping heating floor system, which is suitable for sit-down living style. In 1990's, this kitchen style was prohibited legally, and the balcony area of kitchen widened due to the abolition of outdoor storehouse for foodstuff.

• Journal of Electrical Engineering and Technology
• /
• v.9 no.6
• /
• pp.2098-2106
• /
• 2014

In the area of clustering, there are numerous approaches to construct clusters in the input space. For regression problem, when forming clusters being a part of the overall model, the relationships between the input space and the output space are essential and have to be taken into consideration. Conditional Fuzzy C-Means (c-FCM) clustering offers an opportunity to analyze the structure in the input space with the mechanism of supervision implied by the distribution of data present in the output space. However, like other clustering methods, c-FCM focuses on the distribution of the data. In this paper, we introduce a new method, which by making use of the ambiguity index focuses on the boundaries of the clusters whose determination is essential to the quality of the ensuing classification procedures. The introduced design is illustrated with the aid of numeric examples that provide a detailed insight into the performance of the fuzzy classifiers and quantify several essentials design aspects.

• Korean Journal of Mathematics
• /
• v.28 no.2
• /
• pp.361-378
• /
• 2020

The most apparent aspect of the present study is to introduce a new sequence space 𝚽^⋆(𝓛_p) derived by double Euler-Totient matrix operator. We examine its topological and algebraic properties and give an inclusion relation. In addition to those, the α-, β(bp)- and γ-duals of the space 𝚽^⋆(𝓛_p) are determined and finally, some 4-dimensional matrix mapping classes related to this space are characterized.