• Title/Summary/Keyword: Interval Mapping

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Some characterizations of a mapping defined by interval-valued Choquet integrals

  • Jang, Lee-Chae;Kim, Hyun-Mee
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.1
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    • pp.66-70
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    • 2007
  • Note that Choquet integral is a generalized concept of Lebesgue integral, because two definitions of Choquet integral and Lebesgue integral are equal if a fuzzy measure is a classical measure. In this paper, we consider interval-valued Choquet integrals with respect to fuzzy measures(see [4,5,6,7]). Using these Choquet integrals, we define a mappings on the classes of Choquet integrable functions and give an example of a mapping defined by interval-valued Choquet integrals. And we will investigate some relations between m-convex mappings ${\phi}$ on the class of Choquet integrable functions and m-convex mappings $T_{\phi}$, defined by the class of closed set-valued Choquet integrals with respect to fuzzy measures.

On fuzzy preinvex mappings associated with interval-valued Choquet integrals

  • Lee, Chae-Jang;Kim, Hyun-Mee
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2008.04a
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    • pp.127-128
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    • 2008
  • In this paper, we consider define fuzzy invex sets and fuzzy preinvex functions on the class of Choquet integrable functions, and interval-valued fuzzy invex sets and interval-valued fuzzy preinvex functions on the class of interval-valued Choquet integrals. And also we prove some properties of them.

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Characterizations For Interval-Valued Fuzzy m-semicontinuous Mappings On Interval-Valued Fuzzy Minimal Spaces (Interval-Valued Fuzzy m-semicontinuous 함수의 특성 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.848-851
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    • 2009
  • In [5], we introduced the concepts of IVF m-semiopen sets and IVF m-semicontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we investigate some properties of IVF m-semiopen sets and characterizations for the IVF m-semicontinuous mapping.

A Method for Nonlinear Dynamic Response Analysis of Semi-infinite Foundation Using Mapping (사영에 의한 반무한지반의 비선형해석)

  • Lee Choon-Kil
    • Journal of the Korean Geotechnical Society
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    • v.22 no.4
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    • pp.5-10
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    • 2006
  • A special finite difference method for nonlinear dynamic response analysis of semi-infinite foundation soil using mapping which transforms semi-infinite domain into finite domain is presented here. For the region of engineering interest, mapping is isometric, and fur far field, shrink mapping which transforms infinite interval into finite interval is adopted. At first, the responses of semi-infinite foundation soil with linear constituting model are computed, and compared with theoretical results and those of existing method. Good agreements are obtained among the results of the proposed method, Lamb's theory and FEM with extensive mesh model. Then the responses of infinite foundation soil are computed by the present method, using small and large mesh model. The results of small and large mesh models agree well with each other, demonstrating the effectiveness of the proposed method.

Accuracy Estimation of Laser scanning Mobile Mapping System using Lynx Mobile Mapper (Lynx Mobile Mapper를 이용한 레이저스캐너 기반 차량 MMS의 정확도 평가)

  • Jeong, Tae-Jun;Yun, Hong-Sic;Hwang, Jin-Sang;Kim, Yong-Hyun;Wi, Gwang-Jae;Lee, Ha-Jun
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2010.04a
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    • pp.69-71
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    • 2010
  • In this paper, we focus on the accuracy estimation of laser scanning mobile mapping system using Lynx Mobile Mapper. For this, we surveyed checkpoints(181 points) in study areas. A method to estimate the accuracy of laser scanning mobile mapping system based on the measurement range, interval of control points and gps signal environments. As a result, to ensure reliable measurement results, we must be made a plan considering Measure range(60m or under) and operation. The estimation results showed the need for improving accuracy using control points about 150m interval according to environment error source.

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Methodology of Mapping Quantitative Trait Loci for Binary Traits in a Half-sib Design Using Maximum Likelihood

  • Yin, Zongjun;Zhang, Qin;Zhang, Jigang;Ding, Xiangdong;Wang, Chunkao
    • Asian-Australasian Journal of Animal Sciences
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    • v.18 no.12
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    • pp.1669-1674
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    • 2005
  • Maximum likelihood methodology was applied to analyze the efficiency and statistical power of interval mapping by using a threshold model. The factors that affect QTL detection efficiency (e.g. QTL effect, heritability and incidence of categories) were simulated in our study. Daughter design with multiple families was applied, and the size of segregating population is 500. The results showed that the threshold model has a great advantage in parameters estimation and power of QTL mapping, and has nice efficiency and accuracy for discrete traits. In addition, the accuracy and power of QTL mapping depended on the effect of putative quantitative trait loci, the value of heritability and incidence directly. With the increase of QTL effect, heritability and incidence of categories, the accuracy and power of QTL mapping improved correspondingly.

Interval-Valued Fuzzy Almost α-Continuous Mappings (Interval-Valued Fuzzy Almost α-연속 함수의 연구)

  • Min, Won-Keun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.4
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    • pp.525-529
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    • 2011
  • We introduce the concept of IVF almost ${\alpha}$-continuity and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces. We study the relationships between IVF almost ${\alpha}$-continuous mappings and another types of IVF continuous mappings.

A Study on method development of parameter estimation for real-time QRS detection (실시간 QRS 검출을 위한 파라미터 estimation 기법에 관한 연구)

  • Kim, Eung-Suk;Lee, Jeong-Whan;Yoon, Ji-Young;Lee, Myoung-Ho
    • Proceedings of the KOSOMBE Conference
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    • v.1995 no.11
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    • pp.193-196
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    • 1995
  • An algorithm using topological mapping has been developed for a real-time detection of the QRS complexes of ECG signals. As a measurement of QRS complex energy, we used topological mapping from one dimensional sampled ECG signals to two dimensional vectors. These vectors are reconstructed with the sampled ECG signals and the delayed ones. In this method, the detection rates of CRS complex vary with the parameters such as R-R interval average and peak detection threshold coefficient. We use mean, median, and iterative method to determint R-R interval average and peak estimation. We experiment on various value of search back coefficient and peak detection threshold coefficient to find optimal rule.

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