• 제목/요약/키워드: Fuzzy norm

검색결과 135건 처리시간 0.028초

직관적 퍼지거리공간에 관하여 (On the Intuitionistic Fuzzy Metric Spaces)

  • Park Jin Han;Saadati R,
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 춘계학술대회 학술발표 논문집 제15권 제1호
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    • pp.157-160
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    • 2005
  • In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any $G\delta$ set in a complete intuitionistic fuzzy metric spaces is a topologically complete intuitionistic fuzzy metrizable space and vice versa.

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Fuzzy Linear Regression Model Using the Least Hausdorf-distance Square Method

  • Choi, Sang-Sun;Hong, Dug-Hun;Kim, Dal-Ho
    • Communications for Statistical Applications and Methods
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    • 제7권3호
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    • pp.643-654
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    • 2000
  • In this paper, we review some class of t-norms on which fuzzy arithmetic operations preserve the shapes of fuzzy numbers and the Hausdorff-distance between fuzzy numbers as the measure of distance between fuzzy numbers. And we suggest the least Hausdorff-distance square method for fuzzy linear regression model using shape preserving fuzzy arithmetic operations.

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A Motion Compression Method by Min S-norm Composite Fuzzy Relational Equations

  • Nobuhara, Hajime;Hirota, Kaoru
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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    • pp.488-491
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    • 2003
  • A motion compression method by min s-norm composite fuzzy relational equations (dual-MCF) is proposed, where a motion sequence is divided into intra-pictures (I-pictures) and predictive-pictures (P-pictures). The I-pictures and the P-pictures are compressed by using uniform coders and non-uniform coders, respectively. A design method of non-uniform coders is proposed to perform an efficient compression and reconstruction of the P-pictures, based on the dual overlap level of fuzzy sets and a fuzzy equalization. An experiment using 10 P-pictures confirms that the root means square errors of the proposed method is decreased to 82.9% of that of the uniform coders, under the condition that the compression rate is 0.0055. An experiment of motion compression and reconstruction is also presented to confirm the effectiveness of the dual-MCF based on the non-uniform coders.

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Single Parameter Fault Identification Technique for DC Motor through Wavelet Analysis and Fuzzy Logic

  • Winston, D.Prince;Saravanan, M.
    • Journal of Electrical Engineering and Technology
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    • 제8권5호
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    • pp.1049-1055
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    • 2013
  • DC motors are widely used in industries like cement, paper manufacturing, etc., even today. Early fault identification in dc motors significantly improves its life time and reduces power consumption. Many conventional and soft computing techniques for fault identification in DC motors including a recent work using model based analysis with the help of fuzzy logic are available in literature. In this paper fuzzy logic and norm based wavelet analysis of startup transient current are proposed to identify and quantify the armature winding fault and bearing fault in DC motors, respectively. Results obtained by simulation using Matlab and Simulink are presented in this paper to validate the proposed work.

SOME PROPERTIES OF THE SPACE OF FUZZY BOUNDED LINEAR OPERATORS

  • Hwang, In Ah;Rhie, Gil Seob
    • 충청수학회지
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    • 제21권3호
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    • pp.347-354
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    • 2008
  • In this paper, we will show that ($CF(X,K),{\chi}_{{\parallel}{\mid}{\cdot}{\parallel}{\mid}}$) is a fuzzy Banach space using that the dual space $X^*$ of a normed linear space X is a crisp Banach space. And for a normed linear space Y instead of a scalar field K, we obtain ($CF(X,Y),{\rho}^*$) is a fuzzy Banach space under the some conditions.

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퍼지 넘버 연산에 의한 퍼지 시계열 모형 (Fuzzy time-series model of fuzzy number observations)

  • Hong, Dug-Hun
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.139-144
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    • 2000
  • Recently, a homogeneous fuzzy time series model was proposed by means of defining some new operations on fuzzy numbers. In this paper, we consider expanding the results to the nonhomogeneous fuzzy time series and the general fuzzy time series using Tw, the weakest t-norm, based algebraic fuzzy operations.

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Some Properties of Operations on Fuzzy Numbers

  • 홍덕헌
    • Journal of the Korean Data and Information Science Society
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    • 제13권2호
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    • pp.209-216
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    • 2002
  • In this paper, we introduce a concept of (H)-property which generalize that of increasing(decreasing) property of binary operation. We also treat some works related to operations on fuzzy numbers and generalize earlier results of Kawaguchi and Da-te(1994).

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On types of fuzzy numbers

  • Hong, Dug-Hun
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2002년도 추계학술대회 및 정기총회
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    • pp.29-32
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    • 2002
  • We consider the question whether, for given fuzzy numbers, there are different Pairs of f-norm such that the resulting membership function within the extension principle under addition are identical. Some examples are given.

COMMON FIXED POINT THEOREM FOR MULTIMAPS ON MENGER L-FUZZY METRIC SPACE

  • Deshpande, Bhavana;Chouhan, Suresh
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제20권1호
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    • pp.11-23
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    • 2013
  • In this paper, we obtain a common fixed point theorem for multivalued mappings in a complete Menger $\mathcal{L}$-fuzzy metric space. $\mathcal{L}$-fuzzy metric space is a generalization of fuzzy metric spaces and intuitionistic fuzzy metric spaces. We extend and generalize the results of Kubiaczyk and Sharma [24], Sharma, Kutukcu and Rathore [34].