• 호남수학학술지
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• 제39권4호
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• pp.575-590
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• 2017

A new class of functions called $R_{\theta}$-supercontinuous functions is introduced. Their basic properties are studied and their place in the hierarchy of strong variants of continuity, which already exist in the literature, is elaborated. The class of $R_{\theta}$-supercontinuous functions properly contains the class of $R_z$-supercontinuous functions [39] which in turn properly contains the class of $R_{cl}$-supercontinuous functions [43] and so includes all cl-supercontinuous (clopen continuous) functions ([38], [34]) and is properly contained in the class of $R_{\delta}$-supercontinuous functions [24].

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제10권4호
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• pp.296-302
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• 2010

This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies) introduced by Ying [16, (I)]. It investigates topological notions defined by means of regular open sets when these are planted into the frame-work of Ying's fuzzifying topological spaces (in ${\L}$ukasiewwicz fuzzy logic). The concept of fuzzifying nearly compact spaces is introduced and some of its properties are obtained. We use the finite intersection property to give a characterization of fuzzifying nearly compact spaces. Furthermore, we study the image of fuzzifying nearly compact spaces under fuzzifying completely continuous functions, fuzzifying almost continuity and fuzzifying R-map.

• Smart Structures and Systems
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• 제19권4호
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• pp.383-391
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• 2017

In this paper, we investigate the impacts of network topology on the performance of a distributed estimation algorithm, namely combine-then-adaptive (CTA) diffusion LMS, based on the data with or without the assumptions of temporal and spatial independence with noisy links. The study covers different network models, including the regular, small-world, random and scale-free whose the performance is analyzed according to the mean stability, mean-square errors, communication cost (link density) and robustness. Simulation results show that the noisy links do not cause divergence in the networks. Also, among the networks, the scale free network (heterogeneous) has the best performance in the steady state of the mean square deviation (MSD) while the regular is the worst case. The robustness of the networks against the issues like node failure and noisier node conditions is discussed as well as providing some guidelines on the design of a network in real condition such that the qualities of estimations are optimized.

• 대한수학회보
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• 제22권1호
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• pp.17-22
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• 1985

B.M. Munshi and D.S. Bassan defined and developed the concept of super continuity in [5]. The concept has been investigated further by I. L. Reilly and M. K. Vamanamurthy in [6] where super continuity is characterized in terms of the semi-regularization topology. Super continuity is related to the concepts of .delta.-continuity and strong .theta.-continuity developed by T. Noiri in [7]. The purpose of this note is to derive relationships between super continuity and other strong continuity conditions and to develop additional properties of super continuous functions. Super continuity implies continuity, but the converse implication is false [5]. Super continuity is strictly between strong .theta.-continuity and .delta.-continuity and strictly between complete continuity and .delta.-continuity. The symbols X and Y will denote topological spaces with no separation axioms assumed unless explicity stated. The closure and interior of a subset U of a space X will be denoted by Cl(U) and Int(U) respectively and U is said to be regular open (resp. regular closed) if U=Int[Cl(U) (resp. U=Cl(Int(U)]. If necessary, a subscript will be added to denote the space in which the closure or interior is taken.

• 한국정보처리학회:학술대회논문집
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• 한국정보처리학회 2006년도 춘계학술발표대회
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• pp.743-746
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• 2006

In this paper, we propose and analyze a new parallel computer topology, called the Fibonacci posterorder circulants. It connects ${\Large f}_x,\;n{\geq}2$ processing nodes, same the number of nodes used in a comparable Fibonacci cube. Yet its diameter is only ${\lfloor}\frac{n}{3}{\rfloor}$ almost one third that of the Fibonacci cube. Fibonacci cube is asymmetric, but it is a regular and symmetric static interconnection networks for large-scale, loosely coupled systems. It includes scalability and Fibonacci cube as a spanning subgraph.

• Kyungpook Mathematical Journal
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• 제54권1호
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• pp.123-129
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• 2014

In this paper the concepts of pure ideals, weakly pure ideals and purely prime ideals in ordered semigroups are introduced. We obtain some characterizations of pure ideals and prove that the set of all pure prime ideals is topologized.

• 한국정보디스플레이학회:학술대회논문집
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• 한국정보디스플레이학회 2008년도 International Meeting on Information Display
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• pp.1381-1382
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• 2008

Cholesteric Blue phase (ChBP) is constructed by the regular arrangement of the double helix, whereas the Smectic Blue phase (SmBP) has the inter-connected multi-lamellar structure. Orientation fluctuations of polymer stabilized ChBP and spontaneously super-cooled SmBP are discussed. Spatial topology of the defects play key role on the dynamic properties.

• East Asian mathematical journal
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• 제23권2호
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• pp.213-227
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• 2007

In this paper the concept of fuzzy nearly C-compactness is introduced in Generalized fuzzy topological spaces. Several characterizations and some interesting properties of these spaces in Generalized fuzzy topological spaces are discussed. The properties of fuzzy almost continuous and fuzzy almost open functions in Generalized fuzzy topological spaces are also studied.

• 전자공학회논문지
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• 제51권11호
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• pp.83-93
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• 2014

최근 수년간 전기적 상호 연결 (electrical interconnect, EI) 기반 네트워크-온-칩 (Network-on-Chip, NoC) 에 대한 연구가 활발히 진행되고 있는 가운데, 궁극적으로 금속 배선은 대역폭, 응답 시간(latency), 전력 소모 등에서 물리적 한계에 직면할 것으로 예상된다. 실리콘 포토닉스(silicon photonics) 기술 발전으로 광학적 상호 연결(optical interconnect, OI)을 결합한 하이브리드 광학 네트워크-온-칩(Hybrid Optical NoC, HONoC)이 이러한 문제를 극복하기 위한 유망한 해결책으로 부각되고 있다. 한편 시스템-온-칩(System-on-Chip, SoC)은 높은 에너지 효율을 위하여 이기종 멀티 코어(Heterogeneous multi-core)로 구성되고 있어서 정형화된 토폴로지 기반 NoC 아키텍처의 확장이 필요하다. 본 논문에서는 타깃 애플리케이션 트래픽 특성을 고려한 에너지 및 응답 시간 최적화 하이브리드 광학 네트워크-온-칩의 토폴로지 설계 기법을 제안한다. 유전자 알고리즘을 이용하여 구현하였고, 실험 결과 평균 전력손실은 13.84%, 평균 응답 시간은 28.14% 각각 감소하였다.

• 한국정보과학회논문지:시스템및이론
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• 제29권7호
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• pp.394-400
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• 2002

워크스테이션들의 네트워크(NOWs)와 같은 스위치 기반의 비정규적 네트워크는 고속 스위치를 이용하여 프로세서 노드나 네트워크 호스트들을 특정 위상에 구애받지 않고 연결한 것으로 우수한 유연성(flexibility)과 확장성(scalability)의 장점이 있다. 그러나 메쉬와 같은 정규적인 위상에 비해 교착 상태(deadlock)에 빠지지 않는 효율적인 다중 전송을 수행하는 것은 용이하지 않다. 본 논문에서는 전송 트리의 루트 노드에 무리를 주지 않고 할당받은 서비스에 따라서 전송 단계와 적응성에 차별성을 부여하며 스위치의 채널 사용의 불균형을 개선하고 네트워크 부하 분포의 조정이 가능한 단일 단계 차별적 다중 전송(Single Phase Differential Multicast; SPDM) 기법을 제안한다.