• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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• pp.231-235
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• 1998

We introduce the concept of a fuzzy irresolute mapping and a fuzzy semi-homeomorphism. And we find some properties of then.

• 호남수학학술지
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• 제30권4호
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• pp.713-721
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• 2008

In this paper, we introduce the concepts of IVF weakly ${\alpha}$-continuous mapping and investigate some characterizations for them on the interval-valued fuzzy topological spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제9권3호
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• pp.224-227
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• 2009

In this paper, we introduce the concept of fuzzy S-weakly r-continuous mapping on an fuzzy topological space and investigate some properties of such mappings.

• 한국지능시스템학회:학술대회논문집
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• 한국지능시스템학회 2007년도 추계학술대회 학술발표 논문집
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• pp.191-194
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• 2007

In this paper, we introduce the concepts of fuzzy (r,s)-pre-semiopen sets and fuzzy (r,s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in ${\v{S}}ostak's$ sense. The concepts of fuzzy (r,s)-pre-semiinterior, fuzzy (r,s)-pre-semiclosure, fuzzy (r,s)-pre-semineighborhood, and fuzzy (r,s)-quasi-pre-semineighborhood are given, and several properties of these concepts are discussed. Using these concepts, the characterizations for the fuzzy (r,s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r,s)-presemiopen and fuzzy (r,s)-pre-semiclosed mappings on intuitionistic fuzzy topologica spaces in ${\v{S}}ostak's$ sense, and then we investigate some of their characteristic properties.

• 한국지능시스템학회논문지
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• 제18권3호
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• pp.406-411
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• 2008

In this paper, we introduce the concept of fuzzy (r, s)-pre-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The concepts of fuzzy (r, s)-pre-semineighborhood and fuzzy (r, s)-quasi-pre-semineighborhood are given. The characterizations for the fuzzy (r, s)-pre-semicontinuous mappings are obtained. Also, we introduce the notions of fuzzy (r, s)-pre-semiopen and fuzzy (r, s)-pre-semiclosed mappings, and then we investigate some of their characteristic properties.

• 한국콘텐츠학회논문지
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• 제10권4호
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• pp.106-114
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• 2010

메쉬 파라메터화는 입력으로 들어온 메쉬와 파라메터 영역 사이의 부드러운 일대일 대응함수를 구하는 것으로, 삼차원 스캐너를 통해 획득한 디지털 형상을 여러 가지 응용문제에 활용하기 위해 필요한 디지털 형상 처리의 핵심기반기술이다. 본 논문에서는 구형 위상구조를 가지는 삼차원 물체에 대해, 표면뿐만 아니라 내부를 포함한 물체 전체를 단일 입방정육면체로 하모닉 매핑하는 새로운 삼차원 볼륨파라메터화 방법을 제안한다. 제안하는 방법은 입력으로 들어온 볼륨메쉬의 표면을 정육면체와 동일한 위상구조를 가지는 여섯 개의 영역으로 나누고, 이를 이용하여 볼륨 파라메터화의 경계조건을 계산한다. 이후 경계조건을 만족하며 볼륨 내부의 하모닉 에너지를 최소화하는 하모닉 매핑을 계산하여 물체 내부까지 왜곡이 적은 삼차원 파라메터화 결과를 얻어낸다. 실험결과를 통해, 본 논문에서 제안하는 방법을 통해 다양한 구형 삼차원 모델에 대해 삼차원 볼륨파라메터화 결과를 효과적으로 얻을 수 있음을 확인하였다.

• 호남수학학술지
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• 제32권4호
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• pp.711-738
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• 2010

We list two kinds of gradation of openness and we study in the sense of the followings: (i) We give the definition of IVGO of fuzzy sets and obtain some basic results. (ii) We give the definition of interval-valued gradation of clopeness and obtain some properties. (iii) We give the definition of a subspace of an interval-valued smooth topological space and obtain some properties. (iv) We investigate some properties of gradation preserving (in short, IVGP) mappings.

• 대한수학회보
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• 제34권2호
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• pp.273-285
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• 1997

The aim of this paper is to present theorems on the exitence of zeros for mappings defined on convex subsets of topological vector spaces with values in a vector space. In addition to natural assumptions of continuity, convexity, and compactness, the mappings are subject to some geometric conditions. In the first theorem, the mapping satisfies a "Darboux-type" property expressed in terms of an auxiliary numerical function. Typically, this functions is, in this case, related to an order structure on the target space. We derive an existence theorem for "obtuse" quasiconvex mappings with values in an ordered vector space. In the second theorem, we prove the existence of a "common zero" for an arbitrary (not necessarily countable) family of mappings satisfying a general "inwardness" condition againg expressed in terms of numerical functions (these numerical functions could be duality pairings (more generally, bilinear forms)). Our inwardness condition encompasses classical inwardness conditions of Leray-Schauder, Altman, or Bergman-Halpern types.

• East Asian mathematical journal
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• 제22권2호
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• pp.131-149
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• 2006

In this paper we introduce the concept of $\gamma$-preopen sets in a topological space together with its corresponding $\gamma$-preclosure and $\gamma$-preinterior operators and a new class of topology $\tau_{{\gamma}p}$ which is generated by the class of $\gamma$-preopen sets. Also we introduce $\gamma$-pre $T_i$ spaces(i=0, $\frac{1}{2}$, 1, 2) and study some of its properties and we proved that if $\gamma$ is a regular operation, then$(X,\;{\tau}_{{\gamma}p})$ is a $\gamma$-pre $T\frac{1}{2}$ space. Finally we introduce $(\gamma,\;\beta)$-precontinuous mappings and study some of its properties.

• 충청수학회지
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• 제22권2호
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• pp.187-199
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• 2009

In this paper, we introduce the concept of fuzzy weakly (r,s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense. The relations among various kinds of fuzzy mappings on intuitionistic fuzzy topological spaces in $\check{S}ostak^{\prime}s$ sense are displayed. The characterization for the fuzzy weakly (r,s)-semicontinuous mapping is obtained. Also, we introduce the notion of fuzzy weakly (r,s)-semicontinuous mappings at a given intuitionistic fuzzy point. The relation between fuzzy weakly (r,s)- semicontinuous mappings and fuzzy weakly (r,s)-semicontinuous mappings at an intuitionistic fuzzy point is discussed.