• Title/Summary/Keyword: fixed fuzzy point

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A Fast Method for Finding the Optimal Threshold for Image Segmentation (영상분할의 최적 임계치를 구하는 빠른 방법)

  • 신용식;이정훈
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.109-112
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    • 2001
  • 영상분할에 있어서 최적의 임계치를 구하는 것은 영상을 구성하고 있는 픽셀들을 의미있는 집단으로 나누는 거와 같으며 이를 위하여 퍼지화 정도를 측정하여 최소의 퍼지화 정도를 갖는 임계치를 최적의 임계치로 설정한다. 일반적으로 소속도는 하나의 픽셀과 그 픽셀이 속한 영역의 관계로 표현될 수 있는데 소속도 계산을 위한 엔트로피로 샤논(Shannon)함수를 사용한다[1]. Liang-Kai Huang에 의하여 제안된 알고리즘은 그 수렴속도 면에 있어서 많은 문제점을 갖고 있다[2]. 본 논문에서는 이런 수렴속도를 좀더 개선하기 위하여 SPOI(Simplified Fixed Point Iteration)를 제안하고 여러 가지 실험영상을 사용하여 졔안된 논문의 우수성을 보이고자 한다. 실험결과 적절한 임계치를 구하면서도 기존의 논문보다 속도면에서 상당히 우수한 특성을 보이고 있다.

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Some minimization theorems in generating spaces of quasi-metric family and applications

  • Jung, Jong-Soo;Lee, Byung-Soo;Cho, Yeol-Je
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.565-585
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    • 1996
  • In 1976, Caristi [1] established a celebrated fixed point theorem in complete metric spaces, which is a very useful tool in the theory of nonlinear analysis. Since then, several generalizations of the theorem were given by a number of authors: for instances, generalizations for single-valued mappings were given by Downing and Kirk [4], Park [11] and Siegel [13], and the multi-valued versions of the theorem were obtained by Chang and Luo [3], and Mizoguchi and Takahashi [10].

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Face Recognition by Using FP-ICA Based on Secant Method

  • Cho, Yong-Hyun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.5 no.2
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    • pp.131-135
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    • 2005
  • This paper proposes an efficient face recognition using independent component analysis(ICA) derived from the fixed point(FP) algorithm based on secant method. The secant method can exclude the complex computation of differential process from the FP based on Newton method. The proposed ICA has been applied to recognize the 20 Yale face images of $324\times324$ pixels. The experimental results show that the proposed ICA is superior to PCA not only in the restoration performance of basis images but also in the recognition performance of the trained images and the test images. Then negative angle as similarity measures has better recognition ratio than city-block and Euclidean.

Fuzzy PD plus I Controller of a CSTR for Temperature Control

  • Lee, Joo-Yeon;So, Hye-Rim;Lee, Yun-Hyung;Oh, Sea-June;Jin, Gang-Gyoo;So, Myung-Ok
    • Journal of Advanced Marine Engineering and Technology
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    • v.39 no.5
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    • pp.563-569
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    • 2015
  • A chemical reaction occurring in CSTR (Continuous Stirred Tank Reactor) is significantly affected by the concentration, temperature, pressure, and reacting time of materials, and thus it has strong nonlinear and time-varying characteristics. Also, when an existing linear PID controller with fixed gain is used, the performance could deteriorate or could be unstable if the system parameters change due to the change in the operating point of CSTR. In this study, a technique for the design of a fuzzy PD plus I controller was proposed for the temperature control of a CSTR process. In the fuzzy PD plus I controller, a linear integral controller was added to a fuzzy PD controller in parallel, and the steady-state performance could be improved based on this. For the fuzzy membership function, a Gaussian type was used; for the fuzzy inference, the Max-Min method of Mamdani was used; and for the defuzzification, the center of gravity method was used. In addition, the saturation state of the actuator was also considered during controller design. The validity of the proposed method was examined by comparing the set-point tracking performance and the robustness to the parameter change with those of an adaptive controller and a nonlinear proportional-integral-differential controller.

FUZZY STABILITY OF QUADRATIC-CUBIC FUNCTIONAL EQUATIONS

  • Kim, Chang Il;Yun, Yong Sik
    • East Asian mathematical journal
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    • v.32 no.3
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    • pp.413-423
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    • 2016
  • In this paper, we consider the functional equation f(x + 2y) - 3f(x + y) + 3f(x) - f(x - y) - 3f(y) + 3f(-y) = 0 and prove the generalized Hyers-Ulam stability for it when the target space is a fuzzy Banach space. The usual method to obtain the stability for mixed type functional equation is to split the cases according to whether the involving mappings are odd or even. In this paper, we show that the stability of a quadratic-cubic mapping can be obtained without distinguishing the two cases.

EXISTENCE AND GLOBALLY EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF IMPULSIVE FUZZY BAM NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS

  • Zhang, Qianhong;Yang, Lihui;Liao, Daixi
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.1031-1049
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    • 2012
  • In this paper, a class of impulsive fuzzy bi-directional associative memory (BAM) neural networks with distributed delays and variable coefficients are considered. Using Lyapunov functional method and fixed point theorem, we derived some sufficient conditions for the existence and globally exponential stability of unique periodic solution of the networks. The results obtained are new and extend the previous known results. In addition, an example is given to show the effectiveness of our results obtained.

Fault Prediction and Diagnosis Using Fuzzy Expert System (퍼지 전문가 시스템을 이용한 고장 예측 및 진단)

  • 최성운;이영석
    • Journal of the Korea Safety Management & Science
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    • v.1 no.1
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    • pp.7-17
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    • 1999
  • As the loss from break-downs and errors, which became more frequent with the growth of elaborateness, complexity and in scale of the plant and equipments, are enormous, the improvement in the reliability, maintenance, safety, and qualify become to have interest. The fault diagnosis is a systematic and unified method to find errors, which is based on the interpretation that data, subconsciously, have noises. But, as most of the methods are inferences based on binomial logic, the uncertainty is not correctly reflected. In this study, we suggest, to manage the uncertainty in the system efficiently on the point of predictive maintenance, We should use fuzzy expert system, which make the decision considering uncertainty possible by taking linguistical variable and fixed quantity by using the fuzzy theory concepts on the basis of an expert's direct observation and experience.

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MPPT Control of Photovoltaic using VS-PO Method (VS-PO 방법을 이용한 태양광 발전의 MPPT 제어)

  • Ko, Jae-Sub;Chung, Dong-Hwa
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.29 no.3
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    • pp.45-53
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    • 2015
  • A I-V and P-V characteristic of solar cell is changed to nonlinear by radiation and temperature. Therefore, to use efficiently PV system, operating point of PV system is must operate at maximum power point always. A performance of conventional the PO and the IC method is depend on the step size. So it has weakness which is must select optimal step size. Also, MPPT control applying PI and fuzzy control is not expected satisfactory performance, because of PI controller has fixed gain and fuzzy control has cumulative error by an integral calculus. Therefore, this paper proposes the VS-PO(Variable Stepsize - Perturbation & Observation) MPPT control that is automatically adjusted the step size according to the operating conditions. The VS-PO MPPT method proposed in this paper analyzes control characteristic about condition of radiation and compares with conventional methods. The validity of this paper proves using this results.

Fuzzy Minimum Interval Partition for Uncertain Time Interval (불확실한 시간 간격을 위한 퍼지 최소 간격 분할 기법)

  • Heo, Mun-Haeng;Lee, Gwang-Gyu;Lee, Jun-Uk;Ryu, Geun-Ho;Kim, Hong-Gi
    • The KIPS Transactions:PartD
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    • v.9D no.4
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    • pp.571-578
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    • 2002
  • In temporal database, extended time dimension for history management brings about complexity of join operation and increased cost. To solve this problem, a method that joins the divided segment time data after partition the time range into fixed time interval is introduced. But existing methods can't solve the ambiguity problem of time border that caused by temporal granularity in the partition point. In this paper, We suggested Fuzzy Minimum Interval Partition (FMIP) method that introduced the possibility distribution of fuzzy theory considered uncertainty time interval border in the partition line.

A Low Bit Rate Speech Coder Based on the Inflection Point Detection

  • Iem, Byeong-Gwan
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.15 no.4
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    • pp.300-304
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    • 2015
  • A low bit rate speech coder based on the non-uniform sampling technique is proposed. The non-uniform sampling technique is based on the detection of inflection points (IP). A speech block is processed by the IP detector, and the detected IP pattern is compared with entries of the IP database. The address of the closest member of the database is transmitted with the energy of the speech block. In the receiver, the decoder reconstructs the speech block using the received address and the energy information of the block. As results, the coder shows fixed data rate contrary to the existing speech coders based on the non-uniform sampling. Through computer simulation, the usefulness of the proposed technique is shown. The SNR performance of the proposed method is approximately 5.27 dB with the data rate of 1.5 kbps.