• 대한수학회보
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• 제35권3호
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• pp.515-525
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• 1998

In this paper we obtain a "compactness" result that asserts the existence, in certain sets of sequences, of a sequence which has a maximal reciprocal sum. We derive this result from a much more general theorem which will be proved by introducing a metric into the set of sequences and using a topological argument.

• 대한수학회지
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• 제37권5호
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• pp.849-856
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• 2000

We give a new saddle point theorem for vector-valued functions on an admissible compact convex set in a topological vector space under weak condition that is the semicontinuity of two function scalarization and acyclicty of the involved sets. As application, we obtain the minimax theorem.

• Communications for Statistical Applications and Methods
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• 제9권3호
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• pp.871-876
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• 2002

In this paper, we establish some characterizations of tightness for a sequence of random elements taking values in the space of upper-semicontinuous fuzzy sets with compact support in R.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2002년도 춘계학술대회 및 임시총회
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• pp.277-280
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• 2002

In this paper, we characterize the Borel $\sigma$-field generated by the Hausdorff-Skorokhod metric on the space of normal and upper-semicontinuous fuzzy sets with compact support in the Ecleadean space R$\^$n/. As a result. we give a characterization of measurable fuzzy mappings .

• 대한수학회보
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• 제40권4호
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• pp.641-648
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• 2003

In this paper, we characterize the compact sets full-invariant properties, dual invariant properties and quasi full invariant properties in a class of infinite matrix algebras.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1997년도 춘계학술대회 학술발표 논문집
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• pp.56-60
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• 1997

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제13권3호
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• pp.215-223
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• 2013

In this paper, we present some results on weak laws of large numbers for weighted sums of fuzzy random variables taking values in the space of normal and upper-semicontinuous fuzzy sets with compact support in a separable real Banach space. First, we give weak laws of large numbers for weighted sums of strong-compactly uniformly integrable fuzzy random variables. Then, we consider the case that the weighted averages of expectations of fuzzy random variables converge. Finally, weak laws of large numbers for weighted sums of strongly tight or identically distributed fuzzy random variables are obtained as corollaries.

• 대한전자공학회논문지SD
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• 제40권4호
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• pp.1-12
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• 2003

본 논문에서는 과도상태 회로 시뮬레이션에서 각각의 단일전자 트랜지스터 (Single electron transistor: SET)가 독립적으로 다루어질 수 있는 영역을 체계적으로 조사했다. Interconnection 정전용량이 충분히 큰 회로의 과도상태 시뮬레이션에서도 정상상태 경우와 마찬가지로 각각의 SET가 독립적으로 다뤄질 수 있음을 찾았다. 그러나, 각각의 SET들이 서로 독립적으로 다뤄질 수 있는 interconnection의 부하정전용량은 정상상태보다 약 10배 정도 크다. 이런 조건에서 SPICE에 적용 가능한 단일전자 트랜지스터 (Single electron transistor: SET)의 과도상태 compact 모델을 제시한다. 이 모델은 SPICE main routine의 admittance 행렬과 전류 행렬 구성 요소를 효율적으로 만들기 위해 새롭게 개발된 등가회로 접근방식에 기초한다. 과도상태 모델은 전자우물 안의 전자 개수를 정확히 계산하기 위해서 시변 master 방정식 solver를 각각 포함한다. 이 모델을 이용해서 단일전자 회로 및 단일전자 소자/회로와 CMOS 회로가 결합한 SET/CMOS hybrid 회로를 성공적으로 계산했다. SPICE에 적용된 기존의 시뮬레이터의 결과와 비교해서 상당히 일치하며 CPU 계산 시간도 더 짧아짐을 보인다.

• 대한수학회보
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• 제48권6호
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• pp.1245-1252
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• 2011

Consider the $L^2$-adjoint $s_g^{'*}$ of the linearization of the scalar curvature $s_g$. If ker $s_g^{'*}{\neq}0$ on an n-dimensional compact manifold, it is well known that the scalar curvature $s_g$ is a non-negative constant. In this paper, we study the structure of the level set ${\varphi}^{-1}$(0) and find the behavior of Ricci tensor when ker $s_g^{'*}{\neq}0$ with $s_g$ > 0. Also for a nontrivial solution (g, f) of $z=s_g^{'*}(f)$ on an n-dimensional compact manifold, we analyze the structure of the regular level set $f^{-1}$(-1). These results give a good understanding of the given manifolds.

• 대한수학회논문집
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• 제27권2호
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• pp.357-368
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• 2012

We introduce the concepts of fuzzy ${\delta}$-interior and show that the set of all fuzzy ${\delta}$-open sets is also a fuzzy topology, which is called the fuzzy ${\delta}$-topology. We obtain equivalent forms of fuzzy ${\delta}$-continuity. More-over, the notions of fuzzy ${\delta}$-compactness and fuzzy locally ${\delta}$-compactness are defined and their basic properties under fuzzy ${\delta}$-continuous mappings are investigated.