• 제목/요약/키워드: Fuzzy Division

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Generalized Intuitionistic Fuzzy Matrices

  • Park, Jin-Han;Park, Yong-Beom
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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    • pp.351-354
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    • 2004
  • Using the idea of generalized intuitionistic fuzzy set, we study the notion of generalized intuitionistic fuzzy matrices as a generalization of fuzzy matrices, We show that some properties of a square generalized intuitionistic fuzzy matrix such as reflexivity, transitivity and circularity are carried over to the adjoint generalized intuitionistic fuzzy matrix.

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퍼지 입력 공간 분할애 따른 퍼지 추론과 이의 최적화 (Fuzzy inference system and Its Optimization according to partition of Fuzzy input space)

  • 박병준;윤기찬;오성권;장성환
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
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    • pp.657-659
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    • 1998
  • In order to optimize fuzzy modeling of nonlinear system, we proposed a optimal fuzzy model according to the characteristic of I/O relationship, HCM method, the genetic algorithm, and the objective function with weighting factor. A conventional fuzzy model has difficulty in definition of membership function. In order to solve its problem, the premise structure of the proposed fuzzy model is selected by both the partition of input space and the analysis of input-output relationship using the clustering algorithm. The premise parameters of the fuzzy model are optimized respectively by the genetic algorithm and the consequence parameters of the fuzzy model are identified by the standard least square method. Also, the objective function with weighting factor is proposed to achieve a balance between the performance results for the training and testing data.

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퍼지추론규칙과 PNN 구조를 융합한 FPNN 알고리즘 (The FPNN Algorithm combined with fuzzy inference rules and PNN structure)

  • 박호성;박병준;안태천;오성권
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 G
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    • pp.2856-2858
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    • 1999
  • In this paper, the FPNN(Fuzzy Polynomial Neural Networks) algorithm with multi-layer fuzzy inference structure is proposed for the model identification of a complex nonlinear system. The FPNN structure is generated from the mutual combination of PNN (Polynomial Neural Network) structure and fuzzy inference method. The PNN extended from the GMDH(Group Method of Data Handling) uses several types of polynomials such as linear, quadratic and modifled quadratic besides the biquadratic polynomial used in the GMDH. In the fuzzy inference method, simplified and regression polynomial inference method which is based on the consequence of fuzzy rule expressed with a polynomial such as linear, quadratic and modified quadratic equation are used Each node of the FPNN is defined as a fuzzy rule and its structure is a kind of fuzzy-neural networks. Gas furnace data used to evaluate the performance of our proposed model.

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Design of Fuzzy PD+I Controller Based on PID Controller

  • Oh, Sea-June;Yoo, Heui-Han;Lee, Yun-Hyung;So, Myung-Ok
    • 한국항해항만학회지
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    • 제34권2호
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    • pp.117-122
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    • 2010
  • Since fuzzy controllers are nonlinear, it is more difficult to set the controller gains and to analyse the stability compared to conventional PID controllers. This paper proposes a fuzzy PD+I controller for tracking control which uses a linear fuzzy inference(product-sum-gravity) method based on a conventional linear PID controller. In this scheme the fuzzy PD+I controller works similar to the control performance as the linear PD plus I(PD+I) controller. Thus it is possible to analyse and design an fuzzy PD+I controller for given systems based on a linear fuzzy PD controller. The scaling factors tuning scheme, another topic of fuzzy controller design procedure, is also introduced in order to fine performance of the fuzzy PD+I controller. The scaling factors are adjusted by a real-coded genetic algorithm(RCGA) in off-line. The simulation results show the effectiveness of the proposed fuzzy PD+I controller for tracking control problems by comparing with the conventional PID controllers.

CORRELATION COEFFICIENT OF GENERALIZED INTUITIONISTIC FUZZY SETS BY STATISTICAL METHOD

  • PARK, JIN HAN;PARK, YONG BEOM;LIM, KI MOON
    • 호남수학학술지
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    • 제28권3호
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    • pp.317-326
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    • 2006
  • Based on the geometrical representation of a generalized intuitionistic fuzzy set, we take into account all three parameters describing generalized intuitionistic fuzzy set and propose new methods to calculate the correlation coefficient for generalized intuitionistic fuzzy sets by means of mathematical statistics.

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The Category VSet(H)

  • Lim, Pyung-Ki;Kim, So-Ra;Hur, Kul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권1호
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    • pp.73-81
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    • 2010
  • We introduce the new category VSet(H) consisting of H-fuzzy spaces and H-fuzzy mappings between them satisfying a certain condition, and investigate VSet(H) in the sense of a topological universe. Moreover, we show that VSet(H) is Cartesian closed over Set.

OPERATIONS ON FUZZY TOPOLOGICAL SPACES

  • 박진한;박진근;박성준
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.59-62
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    • 2000
  • In this paper we introduce the notion of fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on fuzzy topological space (X, $\tau$) and investigate the related fuzzy topological properties of the associated fuzzy topology $\tau$$\_$${\gamma}$/ and $\tau$. And ${\gamma}$-T$\_$i/(i=0,1,2) separation axioms are defined in fuzzy topological spaces and the validity of some results analogous to those in fuzzy T$\_$i/ spaces due to Ganguly and Saha [2] are examined.

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Interval-Valued Fuzzy Cosets

  • Lee, Keon-Chang;Hur, Kul;Lim, Pyung-Ki
    • 한국지능시스템학회논문지
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    • 제22권5호
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    • pp.646-655
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    • 2012
  • First, we prove a number of results about interval-valued fuzzy groups involving the notions of interval-valued fuzzy cosets and interval-valued fuzzy normal subgroups which are analogs of important results from group theory. Also, we introduce analogs of some group-theoretic concepts such as characteristic subgroup, normalizer and abelian groups. Secondly, we prove that if A is an interval-valued fuzzy subgroup of a group G such that the index of A is the smallest prime dividing the order of G, then A is an interval-valued fuzzy normal subgroup. Finally, we show that there is a one-to-one correspondence the interval-valued fuzzy cosets of an interval-valued fuzzy subgroup A of a group G and the cosets of a certain subgroup H of G.

퍼지 준 extremally disconnected 공간 (Fuzzy quasi extremally disconnected spaces)

  • 박진한;박용범;이부영
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
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    • pp.209-212
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    • 2005
  • In this paper, we introduce the concept of fuzzy quasi extremally disconnectedness in fuzzy bitopological space, which is a generalization of fuzzy extremally disconnectedness due to Ghosh [5] in fuzzy topological space and investigate some of its properties using the concepts of quasi-semi-closure, quasi-$\Theta$_closure and related notions in a fuzzy bitopological setting.

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