• Proceedings of the Korea Inteligent Information System Society Conference
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• 2005.11a
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• pp.295-303
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• 2005

Semantic Web and its related technologies have been opening the era of information sharing via Web. In the meantime, there are several huddles to overcome toward the new era and one of the major huddles is information integration issue unless we build and use a single unified but huge ontology which address everything in the world. Particularly in e-business area, information integration problem must be a great concern in search and comparison of products from various internet shopping sites and e-marketplaces. To overcome such an information integration problem, we propose an ontology driven mapping algorithm between heterogeneous product classification and description frameworks. We also perform comparative evaluation of the proposed mapping algorithm against a well-known ontology mapping tool, PROMPT.

• Proceedings of the Korean Information Science Society Conference
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• 2004.10a
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• pp.175-177
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• 2004

In this paper, we provide a mechanism to map topics between similar Topic Map ontologies, which enlarge the capacities of current Topic Maps. That is, there is no explicit way to map topics across multiple Topic Maps in current technology. Therefore, our approach provide semi-automatic or automatic mapping of topics between Topic Maps. In order to map the topics, we provide precise definitions of mapping properties and mapping rules.

• Korean Journal of Mathematics
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• v.9 no.2
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• pp.157-164
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• 2001

We construct an operad which is called the mapping class group operad. Its structure map is induced by the attachings of surfaces. The similar operad was constructed by Tillmann in order prove that ${\Gamma}^+_{\infty}$ is an infinite loop space. Our operad is rather simpler and easier to deal with.

• Journal of the Chungcheong Mathematical Society
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• v.20 no.4
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• pp.503-514
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• 2007

In this paper, we investigate the generalized Hyers-Ulam stability of the functional inequality $$||af(x)+bf(y)+cf(z)||{\leq}||f(ax+by+cz))||+{\phi}(x,y,z)$$ associated with Cauchy additive mappings. As a result, we obtain that if a mapping satisfies the functional inequality with perturbing term which satisfies certain conditions then there exists a Cauchy additive mapping near the mapping.

• East Asian mathematical journal
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• v.34 no.1
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• pp.47-58
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• 2018

In this paper, we consider a fuzzy nonlinear random variational inclusion problems involving ordered RME-multivalued mapping in ordered Banach spaces. By using the random relaxed resolvent operator and its properties, we suggest an random iterative algorithm. Finally both the existence of the random solution of the original problem and the convergence of the random iterative sequences generated by random algorithm are proved.

• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.375-388
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• 2013

In this paper, we introduce an iterative sequence for finding solution of a system of mixed equilibrium problems and the set of fixed points of a nonexpansive mapping in Hilbert spaces. Then, the weak and strong convergence theorems are proved under some parameters controlling conditions. Moreover, we apply our result to fixed point problems, system of equilibrium problems, general system of variational inequalities, mixed equilibrium problem, equilibrium problem and variational inequality.

• Proceedings of the IEEK Conference
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• 2002.07b
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• pp.991-994
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• 2002

Photon mapping is an efficient global illumination technique for realistic image synthesis that has been developed in computer graphics. In this paper, an adaptive photon mapping in the use of automatic differentiation is proposed. Since the automatic differentiation is used when photons emit from the light sources through the scene, we can check the variation of surrounding shape. Therefore, we can decrease the number of photons and generate an image in relatively low computational cost.

• Proceedings of the IEEK Conference
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• 2002.07b
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• pp.924-927
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• 2002

In this paper we proposed the design space exploration environment of re-configurable hybrid systems and evaluate the performance by changing design parameters. With this, we analyzed the effect of various scheduling methods which determine how we allocate hardware/software resources to application program. A simple static (fixed) mapping strategy produces almost the same performance compared with a sophisticated dynamic mapping strategy especially when a CPU is already busy with its pre-assigned own tasks.

• Bulletin of the Korean Mathematical Society
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• v.43 no.4
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• pp.847-860
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• 2006

In this paper, some new convergence theorems of the modified Ishikawa and Mann iterative sequences with errors for asymptotically set-valued pseudocontractive mappings in uniformly smooth Banach spaces are given.

• Journal of applied mathematics & informatics
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• v.12 no.1_2
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• pp.119-127
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• 2003

The purpose of this paper is to study the necessary and sufficient conditions for the sequences of Ishikawa iterative sequences with mixed errors of asymptotically quasi-nonexpansive type mappings in Banach spaces to converge to a fixed point in Banach spaces. The results presented in this paper extend and improve the corresponding results of［l-4, 7-9].