• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1997.10a
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• pp.57-59
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• 1997

The concept of fuzzy sets was introduced by Zad도 in his highly influential paper [5]. Using this concept, Chang [1] introduced a notion of fuzzy topological spaces which formally is the same one as for ordinary topological spaces. Observing that with Chang's definition constant maps between fuzzy topological spaces are not necessarily continuous, Lowen [2] gave an alternative and more natural definition for a fuzzy topological spaces and characterized the fuzzy compact spaces by means of prefilters in [4]. In this paper we give new characterizations of fuzzy compact spaces introduced in [2]. These results explain more clearly fuzzy compactness in fuzzy topological spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.2 no.1
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• pp.83-88
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• 2002

We study some properties of smooth uniform spaces. We investigate the relationship between smooth topological spaces and smooth uniform spaces. In particular, we define a subspace of a smooth uniform space and a product of smooth uniform spaces.

• Journal of the Korean Institute of Intelligent Systems
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• v.16 no.2
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• pp.252-257
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• 2006

In strictly two-sided, commutative biquantale, we show that Hutton (L, $\otimes$)-uniform spaces and (L, $\odot$)-uniform spaces induce enriched (L, $\odot$)-topological spaces and enriched (L, $\odot$)-interior spaces.

• Bulletin of the Korean Mathematical Society
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• v.60 no.5
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• pp.1391-1408
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• 2023

Let M and M^# be Hardy-Littlewood maximal operator and sharp maximal operator, respectively. In this article, we present necessary and sufficient conditions for the boundedness properties for commutator operators [M, b] and [M^#, b] in a general context of Banach function spaces when b belongs to BMO(?ⁿ) spaces. Some applications of the results on weighted Lebesgue spaces, variable Lebesgue spaces, Orlicz spaces and Musielak-Orlicz spaces are also given.

• Journal of the Korean Society of Environmental Restoration Technology
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• v.6 no.3
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• pp.46-55
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• 2003

This study aims to evaluate the Ulsan city residents' perception and satisfaction with open spaces and cityscape after consideration in the side of getting primary data for the city open spaces policy and Green Plan for Ulsan city. In this study, low data was gathered by questionnaires survey with stratified random sampling method. Questionnaires were designed by several sets of variables such as behavioral patterns, satisfactions for open spaces and user's demographic variables. Data were analyzed by descriptive statistics, cross-tabulation and regression analysis. The main results of this study can be summarized as follows : 1. In overage the residents were slightly satisfied with park open spaces. There were good and poor park open spaces. in the perceptions of citizens as follows : 'nearby mountain and open spaces', 'rail side green area' were high satisfactory, and 'riverside', 'green qualities' were low in satisfaction. 2. In overage the residents were slightly satisfied with cityscape. There were good and poor cityscape in the perceptions of citizens as follows : 'nearby forest in and open spaces', 'night scape of an urban center' were high satisfactory, and 'streetscape', 'appearances of high-rise buildings' were low in satisfaction. 3. As a results of regression analysis predictable variables for satisfaction with Park and Open spaces were : 'open spaces by the public', 'open spaces by neighbor', 'grande open spaces', 'open spaces of residence'. 4. As a results of regression analysis predictable variables for satisfaction with cityscape were : 'Central Business District(C.B.D) and nearby mountain and open spaces', 'residence and streetscape', 'riverside and park green open spaces'.

• Journal of the Korean Institute of Landscape Architecture
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• v.29 no.6
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• pp.37-49
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• 2002

The objective of this research was an investigation of the important green spaces in Daegu and to present the basic frame of green network in Daegu. Present the condition of the significant green spaces is as follows: In the 3km radius of the city center, the isolation and discontinuation of the green spaces was extensive, caused by crowding of houses and funeral parlours. Consequently, the isolation relaxation which leads to the additional creation of the green spaces and a buffering plan were demanded. In the transfer area of a 3∼6km radius, which is located between the city center's congested area and the suburb green spaces, the significant green spaces had high connection and buffering characteristic, but in the northwest and the south, serious discontinuation appeared between the suburb green spaces and the city conte green spaces. In the 6∼9km radius, the suburb important green spaces accomplished the function which extended the back core green spaces to the city center area. But creation of buffering green spaces was necessary in part because of proximity to the resident area. The results suggest a connection between green spaces on the base of the distribution of the important green spaces, were as follows: In the 3km radius, irregular direction lines appeared while a schedule one direction line appeared in 3∼6km and 6∼9km radius. The discontinued parts of the green network were caused by industrial complexes, house crowding, and cultivation areas. Consequently, reservation and creation plans of green spaces in response to this were demanded. Through the additional creation of green spaces in the discontinued parts, the basic frame of green network in Daegu was the radiation annular form. And it was suitable to activate the parks and the general green spaces.

• East Asian mathematical journal
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• v.21 no.1
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• pp.27-39
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• 2005

We will define p-stack convergence spaces and show that each neighborhood structure is uniquely determined by p-stack convergence structure. Also, we will show that p-stack convergence spaces are a generalization of neighborhood spaces.

• Journal of the Chungcheong Mathematical Society
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• v.19 no.2
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• pp.197-206
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• 2006

In this paper, the notion of a generalized quasi-normed space is introduced and its completion is investigated. We introduce quasi-2-normed spaces and quasi-(2; p)-normed spaces, and investigate the properties of quasi-2-normed spaces and quasi-(2; p)-normed spaces.

• Journal of the Korean Institute of Intelligent Systems
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• v.15 no.4
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• pp.514-519
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• 2005

We define extensional spaces. Moreover, we investigate the relations among T-upper-approximation spaces, T-quasi -equivalence relations and extensional spaces.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.983-996
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• 1996

In this paper, we show that $\Vert \xi \Vert_r = \Vert \sum_{i \in I}x_i x^*_i \Vert^{\frac{1}{2}}, \Vert \xi \Vert_c = \Vert \sum_{i \in I}x^*_ix_i \Vert^{\frac{1}{2}}$ for $\xi = \sum_{i \in I}x_i e_i$ in $M_n(H)$, that subspaces as Hilbert spaces are subspaces as column and row Hilbert spaces, and that the standard dual of column (resp., row) Hilbert spaces is the row (resp., column) Hilbert spaces differently from [1,6]. We define operator Hilbert spaces differently from [10], show that our definition of operator Hilbert spaces is the same as that in [10], show that subspaces as Hilbert spaces are subspaces as operator Hilbert spaces, and for a Hilbert space H we give a matrix norm which is not an operator space norm on H.