• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2000.11a
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• pp.59-62
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• 2000

In this paper we introduce the notion of fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on fuzzy topological space (X, $\tau$) and investigate the related fuzzy topological properties of the associated fuzzy topology $\tau$$\_$${\gamma}$/ and $\tau$. And ${\gamma}$-T$\_$i/(i=0,1,2) separation axioms are defined in fuzzy topological spaces and the validity of some results analogous to those in fuzzy T$\_$i/ spaces due to Ganguly and Saha [2] are examined.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2005.11a
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• pp.209-212
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• 2005

In this paper, we introduce the concept of fuzzy quasi extremally disconnectedness in fuzzy bitopological space, which is a generalization of fuzzy extremally disconnectedness due to Ghosh [5] in fuzzy topological space and investigate some of its properties using the concepts of quasi-semi-closure, quasi-$\Theta$_closure and related notions in a fuzzy bitopological setting.

• Journal of the Korean Mathematical Society
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• v.32 no.2
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• pp.251-264
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• 1995

Applications of the classical Knaster-Kuratowski-Mazurkiewicz (si-mply, KKM) theorem and the fixed point theory of multifunctions defined on convex subsets of topological vector spaces have been greatly improved by adopting the concept of convex spaces due to Lassonde [L1]. In this direction, the first author [P5] found that certain coincidence theorems on a large class of composites of upper semicontinuous multifunctions imply many fundamental results in the KKM theory.

• Honam Mathematical Journal
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• v.31 no.1
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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.

• Bulletin of the Korean Mathematical Society
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• v.58 no.3
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• pp.745-765
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• 2021

Let Ω be a proper open subset of ℝⁿ and p(·) : Ω → (0, ∞) be a variable exponent function satisfying the globally log-Hölder continuous condition. In this article, the author introduces the "geometrical" variable Hardy spaces H^p(·)_r (Ω) and H^p(·)_z (Ω) on Ω, and then obtains the grand maximal function characterizations of H^p(·)_r (Ω) and H^p(·)_z (Ω) when Ω is a strongly Lipschitz domain of ℝⁿ. Moreover, the author further introduces the "geometrical" variable local Hardy spaces h^p(·)_r (Ω), and then establishes the atomic characterization of h^p(·)_r (Ω) when Ω is a bounded Lipschitz domain of ℝⁿ.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.3
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• pp.523-534
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• 2010

In this paper, we consider the weighted Bloch spaces ${\mathcal{B}}_q$(q > 0) on the open unit ball in ${\mathbb{C}}^n$. We prove a certain integral representation theorem that is used to determine the degree of growth of the functions in the space ${\mathcal{B}}_q$ for q > 0. This means that for each q > 0, the Banach dual of $L_a^1$ is ${\mathcal{B}}_q$ and the Banach dual of ${\mathcal{B}}_{q,0}$ is $L_a^1$ for each $q{\geq}1$.

• Journal of applied mathematics & informatics
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• v.42 no.1
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• pp.15-29
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• 2024

Many academics employ various structures to expand topological space, including the idea of topology, as a result of the importance of topological space in analysis and some applications. One of the most notable of the generalizations was the definition of perfect functions in bitopological spaces, which was presented by Ali.A.Atoom and H.Z.Hdeib. We propose the notion of α- pairwise perfect functions in bitopological spaces and define different types of this concept in this study. Pairwise -T - α- perfect functions, pairwise -α-irr-perfect functions, and pairwise -T - α- irr-perfect functions, are all characterized in addition to pairwise -α-perfect functions. We go through their primary characteristics and show how they interact. Finally, under these functions, we introduce the images and inverse images of certain bitopological features. About these concepts, some product theorems have been discovered.

• Journal of the Korean Institute of Landscape Architecture
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• v.43 no.5
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• pp.13-27
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• 2015

This study examined disaster risk from climate change in urban open spaces. This study conducted an assessment depending on type of damage and type of open space, subcategorizing it into flood damage and wind damage, flat park and mountainous park, and classified the assessment items by type into natural factor, artificial factor, and social factor for the purpose of analysis. Our major findings from this study are as follows: To look at the standardized score for the disaster risk from flood damages in the case of a flat park, Asian Park was higher at 55.800 point than Seoul Forest at 51.775 point, and in the case of mountainous parks, Dogok Park was at 58.428 point and Baebongsan Park was at 58.374 point. To look at the standardized score for disaster risk from wind damage, in the case of a flat park, Asian Park was higher at 64.763 point than Seoul Forest at 61.054 point, and in the case of mountainous parks, Baebongsan Park was higher at 58.533 point than Dogok Park at 55.459 point. This study raised a question about the necessity for and value of this disaster risk assessment in open space from damages caused by climate change, established an assessment model for disaster risk from damages in open spaces only to attempt risk assessment. Disaster risk of urban green space was enhanced.

• Journal of the Korean Institute of Landscape Architecture
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• v.52 no.4
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• pp.69-85
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• 2024

The creation of open spaces has both direct and indirect impacts on the local economy, society, culture, and environment. Since the public usually finances these spaces, it is necessary to ensure procedural rationality by promoting consensus among residents and other stakeholders. This study examines the extent of public participation in the creation of open spaces and summarizes trends. By analyzing seven cases of open space development based on participation in South Korea, the study identifies the characteristics and progression of participation during four phases of the development process in the Gwanghwamun Plaza Restructuring Project (2016-2022). During the agenda-setting phase, the Gwanghwamun Forum was convened to establish agendas for the plaza's restructuring. The design and governance phase included a design competition to select a proposal for the plaza, alongside the establishment of the Gwanghwamun Citizens' Committee for governance. Despite proactive efforts in the conflict resolution phase to halt extensive restructuring and enhance communication, civic groups opposed the project by presenting five distinct agendas. In the implementation phase, multiple public participation programs were conducted before the plaza's reopening. The study found that public participation in the Gwanghwamun Plaza project faced challenges such as inadequate participation conditions, limited information sharing, and monotonous participation opportunities. Although the institutional environment for public participation is improving, practical limitations remain. Therefore, a comprehensive examination of open space creation through public participation is necessary.

• Journal of the Korean Institute of Educational Facilities
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• v.16 no.5
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• pp.19-26
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• 2009

This study attempts to find out the spatial characteristics of the converging technology laboratory. For this, the understanding of the nature of converging technology and its necessary system requirements are crucial. The foremost concern lies in the 'flexibility' of the laboratory space, i.e. 'open-lab system', because of the multi-disciplinary spatial arrangement which is supposed to be open to a number of different research fields in the same building cluster. From the case analysis, this study reveals that in order to maximize the adjustability, the module based space unit plan should be considered at the earliest stage. In addition, it is also found from the analysis that the linkage of the communication spaces such as seminar room, auditorium, lounge, rest room, dining room, and corridors should be dealt with a higher degree of sophistication, since these facilitate the interaction of information at the behavioral level.