• 제목/요약/키워드: topological structure

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On Fuzzy Almost r-minimal Continuous Functions between Fuzzy Minimal Spaces and Fuzzy Topological Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제11권1호
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    • pp.44-48
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    • 2011
  • The purpose of this paper is to introduce and investigate the concept of fuzzy almost r-minimal continuous function between fuzzy minimal spaces and fuzzy topological spaces. Particularly, we investigate characterizations for the fuzzy almost r-minimal continuity by using generalized fuzzy r-open sets.

WEAK* QUASI-SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • 제14권2호
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    • pp.233-240
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    • 2006
  • In this paper we introduce the concepts of several types of $weak^*$ quasi-smooth ${\alpha}$-compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set in smooth topological spaces and investigate some of their properties.

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퍼지 일반위상 공간에 관한 연구 (Fuzzy Generalized Topological Spaces)

  • 민원근
    • 한국지능시스템학회논문지
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    • 제19권3호
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    • pp.404-407
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    • 2009
  • 본 논문에서는 퍼지 일반-위상과 퍼지 일반-위상 공간의 개념을 소개한다. 퍼지 일반-위상은 smooth topology 와 Chang's fuzzy topology의 일반화된 개념이다. 퍼지 일반-위상의 일반적인 성질과 퍼지 일반-연속, 약 퍼지 일반-연속 함수의 개념과 성질을 조사한다.

ON SOME PROPERTIES OF THE FUNCTION SPACE M

  • Lee, Joung-Nam
    • 대한수학회논문집
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    • 제18권4호
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    • pp.677-685
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    • 2003
  • Let M be the vector space of all real S-measurable functions defined on a measure space (X, S, $\mu$). In this paper, we investigate some topological structure of T on M. Indeed, (M, T) becomes a topological vector space. Moreover, if $\mu$, is ${\sigma}-finite$, we can define a complete invariant metric on M which is compatible with the topology T on M, and hence (M, T) becomes a F-space.

A NATURAL TOPOLOGICAL MANIFOLD STRUCTURE OF PHASE TROPICAL HYPERSURFACES

  • Kim, Young Rock;Nisse, Mounir
    • 대한수학회지
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    • 제58권2호
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    • pp.451-471
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    • 2021
  • First, we define phase tropical hypersurfaces in terms of a degeneration data of smooth complex algebraic hypersurfaces in (ℂ∗)n. Next, we prove that complex hyperplanes are homeomorphic to their degeneration called phase tropical hyperplanes. More generally, using Mikhalkin's decomposition into pairs-of-pants of smooth algebraic hypersurfaces, we show that a phase tropical hypersurface with smooth tropicalization is naturally a topological manifold. Moreover, we prove that a phase tropical hypersurface is naturally homeomorphic to a symplectic manifold.

선체 구조 모델의 위상 정보 재구성을 통한 구조 해석 모델 생성 (Generation of the Structural Analysis Model Through the Reconstruction of the Topological Information of the Hull Structural Model)

  • 노명일;유성진;이규열
    • 대한조선학회논문집
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    • 제43권2호
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    • pp.246-257
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    • 2006
  • In the ship building industry, the generation of a structural analysis model, that is, a finite element model of a hull structure, has been manually performed by a designer and thus has required lots of time as compared with that of a mechanical part, because of many constraints, the complexity, and the huge size of the hull structure. To make this task automatic, a generation method of the structural analysis model is proposed through the reconstruction of the topological information of a hull structural model in this study. The applicability of the proposed method is demonstrated by applying it to the generation of the structural analysis model of a deadweight 300,000ton VLCC(Very Large Crude oil Carrier).

복합곡면의 다면체 곡면 근사 (Approximation of a compound surface to polyhedral model)

  • 김영일;전차수;조규갑
    • 한국경영과학회:학술대회논문집
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    • 대한산업공학회/한국경영과학회 1996년도 춘계공동학술대회논문집; 공군사관학교, 청주; 26-27 Apr. 1996
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    • pp.100-103
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    • 1996
  • Presented in this study is an algorithmic procedure to obtain polyhedral model from a compound surface. The compound surface in this study denotes a collection of trimmed surfaces without topological relations. The procedure consists of two main modules: CAD data interface, and surface conversion to polyhedral model. The interface module gets geometric information from CAD databases, and makes topological information by scanning the geometric information. We are investigating CATIA system as a data source system. In the surface conversion module, a shell(compound surface with topological information) is approximated to a triangular-faceted polyhedral surface model through node sampling and triangulation steps. The obtained polyhedral model should obey the vertex-to-vertex rule and meet tolerance requirements. Since the polyhedral model has a simple data structure and geometry processing for it is very efficient and robust, the polyhedral model can be used in various applications, such as surface rendering in computer graphics, FEM model for engineering analysis, CAPP for surface machining, data generation for SLA, and NC tool path generation.

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백제 후기 익산도성 조영계획모델에 대한 도성계획사적 해석 (Restoration of Iksan Imperial Capital City Structure and Construction Model in Late Baekje from the Point of Ancient Capital City Planning)

  • 이경찬
    • 건축역사연구
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    • 제24권3호
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    • pp.31-41
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    • 2015
  • This study aims to draw out planning principles and structure of Iksan imperial capital city in late Baekje, especially in view of the relationship among imperial capital city planning area, skeletal axis and the location of royal castle. With site survey and analysis of historical records, old maps, topographical maps, archeological excavation data, land registration map of 1915, some significant inferences were drawn out. Firstly from the point of topological conditions, the contiguous line of a stratum from Mireuk mountain(彌勒山) to Wangkung-ri castle(王宮里遺蹟) and two waterways made a topological axis of Iksan Imperial capital city. Secondly district of Iksan imperial capital city can be deduced to the inner area north to Kummado soil wall(金馬都土城), south to the confluence of Iksan river(益山川) and Busang river(扶桑川), west to Okum mountain fortress(五金山城) and Galjeon river(葛田川), east to line near to eastern wall of Jesuksa temple(帝釋寺). Iksan ssang-reung(益山雙陵) was located outside western boundary line of capital city. Thirdly axis from Wangkung-ri castle to northern Kummado soil wall made a skeletal axis of city structure. It got through northern lowland along Buk river(北川) between Yonghwa(龍華山) and Mireuk mountain. Fourthly the location of royal palace can be deduced to the north part of the city around Kumma town area along the planning principle of northern royal palace.