• Title/Summary/Keyword: Degree of membership

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A novel story on rock slope reliability, by an initiative model that incorporated the harmony of damage, probability and fuzziness

  • Wang, Yajun
    • Geomechanics and Engineering
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    • v.12 no.2
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    • pp.269-294
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    • 2017
  • This study aimed to realize the creation of fuzzy stochastic damage to describe reliability more essentially with the analysis of harmony of damage conception, probability and fuzzy degree of membership in interval [0,1]. Two kinds of fuzzy behaviors of damage development were deduced. Fuzzy stochastic damage models were established based on the fuzzy memberships functional and equivalent normalization theory. Fuzzy stochastic damage finite element method was developed as the approach to reliability simulation. The three-dimensional fuzzy stochastic damage mechanical behaviors of Jianshan mine slope were analyzed and examined based on this approach. The comprehensive results, including the displacement, stress, damage and their stochastic characteristics, indicate consistently that the failure foci of Jianshan mine slope are the slope-cutting areas where, with the maximal failure probability 40%, the hazardous Domino effects will motivate the neighboring rock bodies' sliding activities.

Fuzzy logic based estimation of effective lengths of columns in partially braced multi-storey frames

  • Menon, Devdas
    • Structural Engineering and Mechanics
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    • v.11 no.3
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    • pp.287-299
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    • 2001
  • Columns in multi-storey frames are presently categorised as either braced or unbraced, usually by means of the stability index criterion, for estimating their effective length ratios by design aids such as 'alignment charts'. This procedure, however, ignores the transition in buckling behaviour between the braced condition and the unbraced one. Hence, this results in either an overestimation or an underestimation of effective length estimates of columns in frames that are in fact 'partially braced'. It is shown in this paper that the transitional behaviour is gradual, and can be approximately modelled by means of a 'fuzzy logic' based technique. The proposed technique is simple and intuitively agreeable. It fills the existing gap between the braced and unbraced conditions in present codal provisions.

On Color Cluster Analysis with Three-dimensional Fuzzy Color Ball

  • Kim, Dae-Won
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.2
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    • pp.262-267
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    • 2008
  • The focus of this paper is on devising an efficient clustering task for arbitrary color data. In order to tackle this problem, the inherent uncertainty and vagueness of color are represented by a fuzzy color model. By taking a fuzzy approach to color representation, the proposed model makes a soft decision for the vague regions between neighboring colors. A definition on a three-dimensional fuzzy color ball is introduced, and the degree of membership of color is computed by employing a distance measure between a fuzzy color and color data. With the fuzzy color model, a novel fuzzy clustering algorithm for efficient partition of color data is developed.

A Study on the Voltage - Reactive Power Control Considering Fuzziness (FUZZY정도를 고려한 전압-무효전력제어에 관한 연구)

  • Song, K.Y.;Cho, J.W.;Lee, H.Y.
    • Proceedings of the KIEE Conference
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    • 1991.11a
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    • pp.31-34
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    • 1991
  • This paper presents a voltage-reactive power control algorithm considering fuzziness. In this paper, a coordination technique based on fuzzy set theory is applied for system loss-voltage compromises. Here, we introduce membership functions to measure the adaptability of real power loss of transmission line and the deviation of load bus voltage from the constraints. Then the optimization of problem is solved by a linear programming technique considering the fuzzy set theory. The objective is a degree of satisfaction about the fuzzy decision-making function. The effectiveness of this algorithm has been verified by testing on sample systems.

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Optimization of Composite Laminated Plate Using Fuzzy Set Theory (퍼지 이론을 이용한 복합재 적층판의 최적설계)

  • 홍영기;이종호;구만회;우호길
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 1999.11a
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    • pp.63-67
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    • 1999
  • This paper presents the optimization of CFRP laminated rectangular plates using fuzzy theory. In optimization, thickness of CFRP lamina and fiber angle are taken as design variables, and total thickness of the plates is minimized under Tsai-Hill failure criterion. The uncertainties are entered by introducing fuzzy material strengths and then the objective and constraints are represented by a membership function of their own according to the intersection method. Various design results are presented for the CFRP laminated composites plates.

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GA-Based Fuzzy Control of Pseudo-2 Axes Robot Module (Pseudo-2축 로봇 모듈의 유전 알고리즘에 근거한 퍼지 제어)

  • 신승호;유영선;강희준
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.1
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    • pp.35-42
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    • 1998
  • This paper presents the introduction of Pseudo-2 axes robot module and its GA-based fuzzy control implementation. Pseudo-2 axes robot module which use a single motor and controller for driving 2 joints of a robot mechanism, is devised towards a lower priced robot with its degree of freedom maintained GA-based Fuzzy controller is considered for the better control implementation of the developed system than the conventional PID controller. Here. the scaling factors of the membership function with high fitness values are selected using a genetic algorithm for a pulse-type input trajectory. The obtained controller also shows better trajectory tracking performance than a PID controller.

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Two-Phase Approach to Solve Multiobjective Nonlinear Programming Problem (다목적 비선형계획문제의 해결을 위한 2단계 접근법)

  • 이상완;남현우
    • Journal of the Korean Society of Safety
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    • v.12 no.1
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    • pp.122-128
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    • 1997
  • A new approach, called "two-phase approach", has been proposed In this study. Using this approach to solve MONLP(multiobjective nonlinear programming problem), the solution process is divied into two phase. In the first phase, the min-operator is used to aggregate the membership degree of fuzzy goals and constraints. In the second phase, the $\gamma$-operator is used to test and find an efficient solution in the sense of nondominated. It has been shown that no matter what the solution of the problem is unique or not, an efficient solution can be always obtained at the second phase. The proposed approach can be applied to industrial safety problem with multiobjective problems. On the basis of proposed approach, an illustrative numerical example is presented.presented.

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Intuitionistic Fuzzy Circles

  • Kim, Mi-Hye
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.5 no.2
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    • pp.161-165
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    • 2004
  • In this paper, we introduce the intuitionistic fuzzy circle with a pair of degree which are membership and nonmembership functions, and investigate the properties of them. And also we experiment with developing fuzzy geometry by limiting process of the notion of intuitionistic fuzzy circles which restricted the notion of fuzzy spheres in order to apply to 2-D image.

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Dynamic Adaptive Binarization Method Using Fuzzy Trapezoidal Type and Image Stepwise Segmentation (퍼지의 사다리꼴 타입과 영상 단계적 분할을 이용한 동적 적응적 이진화 방법)

  • Lee, Ho Chang
    • Journal of Korea Multimedia Society
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    • v.25 no.5
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    • pp.670-675
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    • 2022
  • This study proposes an improved binarization method to improve image recognition rate. The research goal is to minimize the information loss that occurs during the binarization process, and to transform the object of the original image that cannot be determined through the transformation process into an image that can be judged. The proposed method uses a stepwise segmentation method of an image and divides blocks using prime numbers. Also, within one block, a trapezoidal type of fuzzy is applied. The fuzzy trapezoid is binarized by dividing the brightness histogram area into three parts according to the degree of membership. As a result of the experiment, information loss was minimized in general images. In addition, it was found that the converted binarized image expressed the object better than the original image in the special image in which the brightness region was tilted to one side.

A Robust On-line Signature Verification System

  • Ryu, Sang-Yeun;Lee, Dae-Jong;Chun, Myung-Geun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.1
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    • pp.27-31
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    • 2003
  • This paper proposes a robust on-line signature verification system based on a new segmentation method and fusion scheme. The proposed segmentation method resolves the problem of segment-to-segment comparison where the variation between reference signature and input signature causes the errors in the location and the number of segments. In addition, the fusion scheme is adopted, which discriminates genuineness by calculating each feature vector's fuzzy membership degree yielded from the proposed segmentation method. Experimental results show that the proposed signature verification system has lower False Reject Rate(FRR) for genuine signature and False Accept Rate(FAR) for forgery signature.