• Title/Summary/Keyword: Fuzzy Convergence

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A NEW CLASS OF RANDOM COMPLETELY GENERALIZED STRONGLY NONLINEAR QUASI-COMPLEMENTARITY PROBLEMS FOR RANDOM FUZZY MAPPINGS

  • Huang, Nam-Jing
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.357-372
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    • 1998
  • In this paper we introduce and study a new class of random completely generalized strongly nonlinear quasi -comple- mentarity problems with non-compact valued random fuzzy map-pings and construct some new iterative algorithms for this kind of random fuzzy quasi-complementarity problems. We also prove the existence of random solutions for this class of random fuzzy quasi-complementarity problems and the convergence of random iterative sequences generated by the algorithms.

A Calculation Method for fuzzy Control by $\alpha$-cut Decomposition and Its Hardware Implementation (\alpha$-레벨집합 분해에 의한 퍼지제어 추론계산법과 하드웨어에 관한 연구)

  • 홍순일;이요섭;장용민
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2001.06a
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    • pp.133-136
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    • 2001
  • In this paper, we propose a calculation method for fuzzy control based on quantized $\alpha$ -cut decomposition of fuzzy sets. This method is easy to be implemented in analog hardware. The effect of quantization levels on defuzzified fuzzy inference result is investigated. A few quantization levels are sufficient for fuzzy control. The hardware implementation of this calculation method and the defuzzificaion by gravity center method by PWM are also presented.

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CONVERGENCE THEOREM FOR KURZWEIL-HENSTOCK-PETTIS INTEGRABLE FUZZY MAPPINGS

  • Park, Chun-Kee
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.2
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    • pp.279-291
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    • 2010
  • In this paper, we introduce the Kurzweil-Henstock-Pettis integral of fuzzy mappings in Banach spaces in terms of the Kurzweil-Henstock-Pettis integral of set-valued mappings and obtain some properties of the Kurzweil-Henstock-Pettis integral of fuzzy mappings in Banach spaces and the convergence theorem for Kurzweil-Henstock-Pettis integrable fuzzy mappings.

ON FUZZY UNIFORM CONVERGENCE

  • Kong, Jae Eung;Cho, Sung Ki
    • Korean Journal of Mathematics
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    • v.5 no.1
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    • pp.1-8
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    • 1997
  • In this note, we study on fuzzy uniform convergences of sequences of fuzzy numbers, and sequences of fuzzy functions.

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Hybrid Fuzzy Control Systems with Look-Up Table for Good Performance (성능개선을 위한 룩업테이블 하이브리드 퍼지제어 시스템)

  • Lee, Pyeong-Gi
    • Journal of the Korean Society of Industry Convergence
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    • v.19 no.3
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    • pp.101-108
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    • 2016
  • I propose a hybrid fuzzy controller with a look-up table to improve the performance of the FARMA(Fuzzy Auto-regressive Moving Average) fuzzy controller. The hybrid structure of the proposed method is composed of a fuzzy controller with a look-up table of the PD type and the FARMA fuzzy controller. The proposed method improves poor performance due to the lack of I/O data to calculate predictive output and shows robust performance over the FARMA fuzzy controller when a incorrect Dmax value is selected by trial and error. I executed some computer simulations on the regulation problem of an inverted pendulum system and compared the results with those of the FARMA fuzzy controller.

ITERATIVE ALGORITHM FOR COMPLETELY GENERALIZED QUASI-VARIATIONAL INCLUSIONS WITH FUZZY MAPPINGS IN HILBERT SPACES

  • Jeong, Jae-Ug
    • Journal of applied mathematics & informatics
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    • v.28 no.1_2
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    • pp.451-463
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    • 2010
  • In this paper, we introduce and study a class of completely generalized quasi-variational inclusions with fuzzy mappings. A new iterative algorithm for finding the approximate solutions and the convergence criteria of the iterative sequences generated by the algorithm are also given. These results of existence, algorithm and convergence generalize many known results.

Design of Fuzzy Controller with dual control rules using $e-{\Delta}e$ phase plane ($e-{\Delta}e$ 위상평면을 이용한 이중 제어규칙을 갖는 퍼지 제어기 설계)

  • 박광묵;신위재
    • Proceedings of the IEEK Conference
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    • 1999.11a
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    • pp.1149-1152
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    • 1999
  • In this paper we analyzed each region of specific points and e-Δephase plane in order to make fuzzy rule base. After we composed the fuzzy control rules which can decrease rise time, delay time, maximum overshoot than basic fuzzy control rules. The composed method are converged more rapidly than single rule base in convergence region. Proposed method is alternately use at specific points of e-Δephase plane with two fuzzy control rules, that is one control rule occruing the steady state error used in transient region and another fuzzy control rule use to decrease the steady state error and rapidly converge at the convergence region. Two fuzzy control rules in the e-Δe phase plane decide the change time according to response characteristics of plants. As the results of simulation through the second order plant and the delay time plan, Proposed dual fuzzy control rules get the good response compare with the basic fuzzy control rule.

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Multi-channel Fuzzy-LMS Algorithm for Active Noise Control System (능동소음제어 시스템을 위한 다중채널 Fuzzy-LMS 알고리즘)

  • Kim, Kyun-Tae;Cheon, Jin-Su;Yeon, Jae-Keun;Nam, Hyun-Do
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.692-694
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    • 1995
  • Multi-channel adaptive algorithms have poor convergence behaviors because of difficulties in selection of convergence coefficients. In this paper, a MCFLMS(Multi-Channel Fuzzy LMS) algorithm, where the convergence coefficients are updated by a fuzzy inference engine, was proposed. A proposed algorithm showed better convergence characteristics than conventional MCLMS(Multi-Channel LMS) algorithms in computer simulations.

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ON THE POWER SEQUENCE OF A FUZZY MATRIX CONVERGENT POWER SEQUENCE

  • Tian, Zhou;Liu, De-Fu
    • Journal of applied mathematics & informatics
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    • v.4 no.1
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    • pp.147-166
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    • 1997
  • The convergence of the power sequence of an $n{\times}n$ fuzzy matrix has been studied. Some theoretical necessary and sufficient con-ditions have been established for the power sequence to be convergent generally. Furthermore as one of our main concerns the convergence index was studied in detail especially for some special types of Boolean matrices. Also it has been established that the convergence index is bounded by $(n-1)^2+1$ from above for an arbitrary $n{\times}n$ fuzzy matrix if its power sequence converges. Our method is concentrated on the limit behavior of the power se-quence. It helped us to make our proofs be simpler and more direct that those in pure algebraic methods.

Relation between Certainty and Uncertainty with Fuzzy Entropy and Similarity Measure

  • Lee, Sanghyuk;Zhai, Yujia
    • Journal of the Korea Convergence Society
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    • v.5 no.4
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    • pp.155-161
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    • 2014
  • We survey the relation of fuzzy entropy measure and similarity measure. Each measure represents features of data uncertainty and certainty between comparative data group. With the help of one-to-one correspondence characteristics, distance measure and similarity measure have been expressed by the complementary characteristics. We construct similarity measure using distance measure, and verification of usefulness is proved. Furthermore analysis of similarity measure from fuzzy entropy measure is also discussed.