• 제목/요약/키워드: Fuzzy matrix

검색결과 458건 처리시간 0.03초

Evaluation criterion for different methods of multiple-attribute group decision making with interval-valued intuitionistic fuzzy information

  • Qiu, Junda;Li, Lei
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제12권7호
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    • pp.3128-3149
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    • 2018
  • A number of effective methods for multiple-attribute group decision making (MAGDM) with interval-valued intuitionistic fuzzy numbers (IVIFNs) have been proposed in recent years. However, the different methods frequently yield different, even sometimes contradictory, results for the same problem. In this paper a novel criterion to determine the advantages and disadvantages of different methods is proposed. First, the decision-making process is divided into three parts: translation of experts' preferences, aggregation of experts' opinions, and comparison of the alternatives. Experts' preferences aggregation is considered the core step, and the quality of the collective matrix is considered the most important evaluation index for the aggregation methods. Then, methods to calculate the similarity measure, correlation, correlation coefficient, and energy of the intuitionistic fuzzy matrices are proposed, which are employed to evaluate the collective matrix. Thus, the optimal method can be selected by comparing the collective matrices when all the methods yield different results. Finally, a novel approach for aggregating experts' preferences with IVIFN is presented. In this approach, experts' preferences are mapped as points into two-dimensional planes, with the plant growth simulation algorithm (PGSA) being employed to calculate the optimal rally points, which are inversely mapped to IVIFNs to establish the collective matrix. In the study, four different methods are used to address one example problem to illustrate the feasibility and effectiveness of the proposed approach.

적응형 뉴로-퍼지(ANFIS)를 이용한 도시철도 시스템 위험도 평가 연구 (A Study on the Risk Assessment for Urban Railway Systems Using an Adaptive Neuro-Fuzzy Inference System(ANFIS))

  • 탁길훈;구정서
    • 한국안전학회지
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    • 제37권1호
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    • pp.78-87
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    • 2022
  • In the risk assessment of urban railway systems, a hazard log is created by identifying hazards from accident and failure data. Then, based on a risk matrix, evaluators analyze the frequency and severity of the occurrence of the hazards, conduct the risk assessment, and then establish safety measures for the risk factors prior to risk control. However, because subjective judgments based on the evaluators' experiences affect the risk assessment results, a more objective and automated risk assessment system must be established. In this study, we propose a risk assessment model in which an adaptive neuro-fuzzy inference system (ANFIS), which is combined in artificial neural networks (ANN) and fuzzy inference system (FIS), is applied to the risk assessment of urban railway systems. The newly proposed model is more objective and automated, alleviating the limitations of risk assessments that use a risk matrix. In addition, the reliability of the model was verified by comparing the risk assessment results and risk control priorities between the newly proposed ANFIS-based risk assessment model and the risk assessment using a risk matrix. Results of the comparison indicate that a high level of accuracy was demonstrated in the risk assessment results of the proposed model, and uncertainty and subjectivity were mitigated in the risk control priority.

퍼지목표계획(目標計劃) 모형(模型)의 보조문제화(補助問題化) (On Auxiliary Linear Programming Problems for Fuzzy Goal Programming)

  • 박상규
    • 품질경영학회지
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    • 제20권1호
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    • pp.101-106
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    • 1992
  • In this paper fuzzy goal programming problems with fuzzy constraints and fuzzy coefficients in both matrix and right hand side of the constraints set are considered. Because of fuzzy coefficients in both members of each constraint ranking methods for fuzzy numbers are considered. An additive model to solve fuzzy goal programming problems is formulated. The diversity of each methods provides a lot of different models of auxiliary linear programming problems from which fuzzy solutions to the fuzzy goal programming problem can be obtained.

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TWO NEW OPERATORS ON FUZZY MATRICES

  • Shyamal, Amiya-K.;Pal, Madhumangal
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.91-107
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    • 2004
  • The fuzzy matrices are successfully used when fuzzy uncertainty occurs in a problem. Fuzzy matrices become popular for last two decades. In this paper, two new binary fuzzy operators (equation omitted) and (equation omitted) are introduced for fuzzy matrices. Several properties on (equation omitted) and (equation omitted) are presented here. Also, some results on existing operators along with these new operators are presented.

상대 이득 행렬을 이용한 뉴로-퍼지 제어기의 설계 (Design of Neuro-Fuzzy Controller using Relative Gain Matrix)

  • 서삼준;김동원;박귀태
    • 한국지능시스템학회논문지
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    • 제15권1호
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    • pp.24-29
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    • 2005
  • 일반적으로 다변수 계통에 대한 퍼지 제어에서 퍼지 규칙을 얻기가 어려워 입출력 사이의 페어링을 이용한 독립적인 단일 입력 단일 출력의 병렬 구조를 이용한다. 그러나, 결합되지 않은 입출력 변수간의 상호작용으로 제어 성능에 나쁜 영향을 준다. 특히, 강한 결합 특성을 가진 계통의 경우 제어 성능을 아주 저하시킨다. 본 논문에서는 이러한 상호작용에 의한 영향을 보상해주기 위해 상대 이득 행렬을 이용한 신경 회로망을 도입하였다 제안한 뉴로 퍼지 제어기는 역전파 알고리즘으로 학습되며 강호작용에 대한 결합강도를 자동으로 조정하여준다. 제안한 뉴로 퍼지 제어기의 성능을 200MW급 보일러 계통에 대한 컴퓨터 모의실험을 통해 입증하였다.

교차점과 오차행렬을 이용한 사람 검출용 퍼지 분류기 진화 설계 (Evolutionary Design of Fuzzy Classifiers for Human Detection Using Intersection Points and Confusion Matrix)

  • 이준용;박소연;최병석;신승용;이주장
    • 제어로봇시스템학회논문지
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    • 제16권8호
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    • pp.761-765
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    • 2010
  • This paper presents the design of optimal fuzzy classifier for human detection by using genetic algorithms, one of the best-known meta-heuristic search methods. For this purpose, encoding scheme to search the optimal sequential intersection points between adjacent fuzzy membership functions is originally presented for the fuzzy classifier design for HOG (Histograms of Oriented Gradient) descriptors. The intersection points are sequentially encoded in the proposed encoding scheme to reduce the redundancy of search space occurred in the combinational problem. Furthermore, the fitness function is modified with the true-positive and true-negative of the confusion matrix instead of the total success rate. Experimental results show that the two proposed approaches give superior performance in HOG datasets.

혼돈 비선형 시스템을 위한 안정된 퍼지 제어기의 설계 (The Design of Stable Fuzzy Controller for Chaotic Nonlinear Systems)

  • 최종태;박진배최윤호
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.429-432
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    • 1998
  • This paper is to design stable fuzzy controller so as to control chaotic nonlinear systems effectively via fuzzy control system and Parallel Distributed Compensation (PDC) design. To design fuzzy control system, nonlinear systems are represented by Takagi-sugeno(TS) fuzzy models. The PDC is employed to design fuzzy controllers from the TS fuzzy models. The stability analysis and control design problems is to find a common Lyapunov function for a set of linear matrix inequalitys(LMIs). The designed fuzzy controller is applied to Rossler system. The simulation results show the effectiveness of our controller.

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Design of Controller for Affine Takagi-Sugeno Fuzzy System with Parametric Uncertainties via BMI

  • Lee, Sang-In;Joo, Young-Hoon;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.658-662
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    • 2004
  • This paper develops a stability analysis and controller synthesis methodology for a continuous-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties. Affine T-S fuzzy system can be an advantage because it may be able to approximate nonlinear functions to high accuracy with fewer rules than the homogeneous T-S fuzzy systems with linear consequents only. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of bilinear matrix inequalities (BMIs). A simulation example is given to illustrate the application of the proposed method.

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시간지연 퍼지 시스템의 지연 종속 H 필터 설계 (Delay-dependent v Filter Design for Delayed Fuzzy Dynamic Systems)

  • Lee, Kap-Rai
    • 제어로봇시스템학회논문지
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    • 제10권7호
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    • pp.618-624
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    • 2004
  • This paper presents a delay dependent fuzzy H_\infty$ filter design method for delayed fuzzy dynamic systems. Using delay-dependent Lyapunov function, the global exponential stability and H_\infty$ performance problem are discussed. A sufficient condition for the existence of fuzzy filter is presented in terms of linear matrix inequalities(LMIs). The filter design utilize the concept of parallel distributed compensation. And the filter gains can also be directly obtained from the LMI solutions. A simulation example is given to illustrate the design procedures and performance of the proposed methods.

시변 지연이 있는 비선형 시스템에 대한 $H_{\infty}$ 퍼지 강인제어기 설계 (Static Output Feedback Robust $H_{\infty}$ Fuzzy Control of Nonlinear Systems with Time-Varying Delay)

  • 김택룡;박진배;주영훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2004년도 학술대회 논문집 정보 및 제어부문
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    • pp.379-381
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    • 2004
  • In this paper, a robust $H_{\infty}$ stabilization problem to a uncertain fuzzy systems with time-varying delay via static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-varying delayed state. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H_{\infty}$ controllers are given in terms of linear matrix inequalities.

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