• 제목/요약/키워드: ${\alpha}$-cut set

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A Note on Fuzzy Support Vector Classification

  • Lee, Sung-Ho;Hong, Dug-Hun
    • Communications for Statistical Applications and Methods
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    • 제14권1호
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    • pp.133-140
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    • 2007
  • The support vector machine has been well developed as a powerful tool for solving classification problems. In many real world applications, each training point has a different effect on constructing classification rule. Lin and Wang (2002) proposed fuzzy support vector machines for this kind of classification problems, which assign fuzzy memberships to the input data and reformulate the support vector classification. In this paper another intuitive approach is proposed by using the fuzzy ${\alpha}-cut$ set. It will show us the trend of classification functions as ${\alpha}$ changes.

$\alpha$-레벨 집합 분해에 의한 서보제어용 퍼지추론 연산회로 구현 (Implemented Circuits of Fuzzy Inference Engine for Servo Control by using Decomposition of $\alpha$-Level Set)

  • 홍정표;홍순일
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권2호
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    • pp.90-96
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    • 2005
  • This paper presents hardware scheme of fuzzy inference engine, based on α-level set decomposition of fuzzy sets for fuzzy control of DC servo system. We propose a method which is directly converted to PWM actuating signal by a one body of fuzzy inference and defuzzification. The influence of quantity α-levels on input/output characteristics of fuzzy controller and output response of DC servo system is investigated. It is concluded that quantity α-cut 4 give a sufficient result for fuzzy control performance of DC servo system. The experimental results shows that the proposed hardware method is effective for practical applications of DC servo system.

MULTISET-VALUED IMAGES OF FUZZY SETS

  • Sadaaki MIYAMOTO;Kim, Kyung-Soo
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.543-548
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    • 1998
  • An image of a set that produces a multiset from an ordinary set and its extension to fuzzy multisets is considered. For each input element, its image is added to the output regardless whether or not there already exists the same image in the output. theoretical properties such as commutativity of the image with $\alpha$-cut or multiset addition are proved. Generalization to the image by multivariable functions is moreover defined.

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신생아의 출생 체중에 따른 혈액 여과지 17alpha-hydroxyprogesterone의 농도 분석 및 판정 기준 조정 (Analysis and Cut-off Adjustment of Dried Blood Spot 17alpha-hydroxyprogesterone Concentration by Birth Weight)

  • 박승만;권애린;양송현;박은아;최재황;황미정;남현경;이은희
    • 대한유전성대사질환학회지
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    • 제14권2호
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    • pp.150-155
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    • 2014
  • The measurement of $17{\alpha}$-hydroxyprogesterone ($17{\alpha}$-OHP) in a dried blood spot on filter paper is an important for screening of congenital adrenal hyperplasia (CAH). Since high levels of $17{\alpha}$-OHP are frequently observed in premature infants without congenital adrenal hyperplasia, we evaluated cuts-off based on birth weight and performed validation. Birth weight and $17{\alpha}$-OHP concentration data of 292,204 newborn screening subjects in Greencross labopratories were analyzed. The cut-off values based on birth weight were newly evaluated and validated with the original data. The mean $17{\alpha}$-OHP concentration were 7.25 ng/mL in very low birth weight (VLBW) group, 4.02 ng/mL in low birth weight (LBW) group, 2.53 g/mL in normal birth weight (NBW) group, and 2.24 ng/mL in heavy birth weight (HBW) group. The cut-offs for CAH were decided as follows: 21.12 ng/mL for VLBW and LBW groups and 11.14 ng/mL for NBW and HBW groups. When applied new cut-offs for original data, positive rates in VLBW and LBW groups were decreased and positive rates in NBW and HBW groups were increased. The cut-offs based on birth weight should be used in the screening for CAH. We believe that our new cut-off reduce the false positive rate and false negative rate and our experience for cut-off set up and validation will be helpful for other laboratories doing newborn screening test.

서보 제어계 설계지원을 위한 퍼지추론 TOOL의 개발 (The development of fuzzy reasoning tool for the support design of servo system)

  • 노창주;홍순일
    • Journal of Advanced Marine Engineering and Technology
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    • 제19권4호
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    • pp.72-78
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    • 1995
  • The diffusion of fuzzy logic techniques into real applications requires specific software supports which save development time and reduce the programming effort. But we has been lack of a tool devoted to support the design of fuzzy controllers. In this paper, on the basis of the general fuzzy set and .alpha.-cut set decomposition of fuzzy sets, a set of fuzzy reasoning tool(FRT) devoted to support the design of fuzzy dontroller for servo systems is developed. The major features of this tool are: 1) It supports users to analyze fuzzy ingerence status based on input deta and expected results by three-D graphic display. 2) It supports users to prepare input data and expected result. 3) It supports users to tuned scaling factor of membership functions, rules and fuzzy inference. The paper shows how the suggested design tools are suitable to give a consistent answer to the tuning of fuzzy control system. This FRT is expected to exert good performance and devoted to support which the design of fuzzy controller is illustrated in the servo systems.

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퍼지 $\alpha$ 컷 집합에 의한 고무 타이어 영상의 문자 윤관선 추출 (Edge Detection of Characters on the Rubber Tire Image Using Fuzzy $\alpha-Cut$ Set)

  • 김경민;박중조;박귀태
    • 전자공학회논문지B
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    • 제31B권6호
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    • pp.71-80
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    • 1994
  • The purpose of this paper is to explore the use of fuzzy set theory for image processing and analysis. As an application example, the fuzzy method of edge detection is proposed to extract the edges of raised characters on tires.In general, Sobel, Prewitt, Robert and LoG filters are used to detect the edge, but it is difficult to detect the edge because of ambiguity of representations, noise and general problems in the interpretation of tire image. Therefore, in his paper, the fuzzy property plane has been extracted from the spatial domain using the ramp-mapping function. And then the ideas of fuzzy MIN and MAX are applied in removing noise and enhancement of the image simultaneously. From the result of MIN and MAX procedure a new fuzzy singleton is generated by extracting the difference between adjacent membership function values. And the edges are extracted by applying fuzzy $\alpha$-cut set to the fuzzy singletion, Finally, these ideas are applied to the tire images.

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퍼지논리를 이용한 α-cut 자동 설정 기반 퍼지 이진화 (An α-cut Automatic Set based on Fuzzy Binarization Using Fuzzy Logic)

  • 이호창;김광백;박현준;차의영
    • 한국정보통신학회논문지
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    • 제19권12호
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    • pp.2924-2932
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    • 2015
  • 영상 이진화 기술은 객체와 배경을 분할하는 과정으로 영상 분석 및 인식 분야에 널리 적용되고 있다. 기존의 이진화 방법은 임계치를 설정하는 과정에서 객체와 배경의 명암 차이가 크지 않을 경우에 불확실성이 존재한다. 이러한 문제점을 개선한 퍼지 이진화는 객체의 특징을 효과적으로 이진화 하지만 ${\alpha}$-cut값을 정적으로 설정하기 때문에 객체의 특징들이 손실된 상태로 이진화 되는 문제점이 있다. 따라서 본 논문에서는 평균, 반복, Otsu 이진화 방법들의 임계치를 이용한 퍼지 소속 함수를 구하여 ${\alpha}$-cut값을 동적으로 설정하는 방법을 제안한다. 다양한 영상을 대상으로 실험한 결과, 제안된 방법은 기존의 이진화 방법 및 퍼지 이진화 방법보다 배경과 객체들의 손실이 적은 상태로 이진화된 것을 확인하였다.

EXISTENCE THEOREMS FOR FIXED FUZZY POINTS WITH CLOSED α-CUT SETS IN COMPLETE METRIC SPACES

  • Cho, Yeol-Je;Petrot, Narin
    • 대한수학회논문집
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    • 제26권1호
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    • pp.115-124
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    • 2011
  • In this paper, some fuzzy fixed point theorems for fuzzy mappings are established by considering the nonempty closed $\alpha$-cut sets. Some importance observations are also discussed. Our results clearly extend, generalize and improve the corresponding results in the literatures, which have given most of their attention to the class of fuzzy sets with nonempty compact or closed and bounded $\alpha$-cut sets.

Implementation of Hardware Circuits for Fuzzy Controller Using $\alpha$-Cut Decomposition of fuzzy set

  • Lee, Yo-Seob;Hong, Soon-Ill
    • Journal of Advanced Marine Engineering and Technology
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    • 제28권2호
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    • pp.200-209
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    • 2004
  • The fuzzy control based on $\alpha$-level fuzzy set decomposition. It is known to produce quick response and calculating time of fuzzy inference. This paper derived the embodiment computational algorithm for defuzzification by min-max fuzzy inference and the center of gravity method based on $\alpha$-level fuzzy set decomposition. It is easy to realize the fuzzy controller hardware. based on the calculation formula. In addition. this study proposed a circuit that generates PWM actual signals ranging from fuzzy inference to defuzzification. The fuzzy controller was implemented with mixed analog-digital logic circuit using the computational fuzzy inference algorithm by min-min-max and defuzzification by the center of gravity method. This study confirmed that the fuzzy controller worked satisfactorily when it was applied to the position control of a dc servo system.

A Suggestion for Randomized Response Technique using Fuzzy Logic

  • Choi, Kyung-Ho
    • Communications for Statistical Applications and Methods
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    • 제8권2호
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    • pp.465-471
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    • 2001
  • Randomized response technique is a survey technique for eliminating evasive answer bias. But this technique has a problem. This procedure suffers from linguistic expression in randomizing device. Thus for solving the problem, in this paper, we suggested the randomized response technique using fuzzy logic.

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