• Title/Summary/Keyword: fuzzy variables

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On the Strong Law of Large Numbers for Convex Tight Fuzzy Random Variables

  • Joo Sang Yeol;Lee Seung Soo
    • Proceedings of the Korean Statistical Society Conference
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    • 2001.11a
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    • pp.137-141
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    • 2001
  • We can obtain SLLN's for fuzzy random variables with respect to the new metric $d_s$ on the space F(R) of fuzzy numbers in R. In this paper, we obtain a SLLN for convex tight random elements taking values in F(R).

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Development of Thermal Error Model with Minimum Number of Variables Using Fuzzy Logic Strategy

  • Lee, Jin-Hyeon;Lee, Jae-Ha;Yang, Seong-Han
    • Journal of Mechanical Science and Technology
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    • v.15 no.11
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    • pp.1482-1489
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    • 2001
  • Thermally-induced errors originating from machine tool errors have received significant attention recently because high speed and precise machining is now the principal trend in manufacturing proce sses using CNC machine tools. Since the thermal error model is generally a function of temperature, the thermal error compensation system contains temperature sensors with the same number of temperature variables. The minimization of the number of variables in the thermal error model can affect the economical efficiency and the possibility of unexpected sensor fault in a error compensation system. This paper presents a thermal error model with minimum number of variables using a fuzzy logic strategy. The proposed method using a fuzzy logic strategy does not require any information about the characteristics of the plant contrary to numerical analysis techniques, but the developed thermal error model guarantees good prediction performance. The proposed modeling method can also be applied to any type of CNC machine tool if a combination of the possible input variables is determined because the error model parameters are only calculated mathematically-based on the number of temperature variables.

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Parallel Fuzzy Inference Method for Large Volumes of Satellite Images

  • Lee, Sang-Gu
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.1 no.1
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    • pp.119-124
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    • 2001
  • In this pattern recognition on the large volumes of remote sensing satellite images, the inference time is much increased. In the case of the remote sensing data [5] having 4 wavebands, the 778 training patterns are learned. Each land cover pattern is classified by using 159, 900 patterns including the trained patterns. For the fuzzy classification, the 778 fuzzy rules are generated. Each fuzzy rule has 4 fuzzy variables in the condition part. Therefore, high performance parallel fuzzy inference system is needed. In this paper, we propose a novel parallel fuzzy inference system on T3E parallel computer. In this, fuzzy rules are distributed and executed simultaneously. The ONE_To_ALL algorithm is used to broadcast the fuzzy input to the all nodes. The results of the MIN/MAX operations are transferred to the output processor by the ALL_TO_ONE algorithm. By parallel processing of the fuzzy rules, the parallel fuzzy inference algorithm extracts match parallelism and achieves a good speed factor. This system can be used in a large expert system that ha many inference variables in the condition and the consequent part.

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Identification of Fuzzy System Driven to Parallel Genetic Algorithm (병렬유전자 알고리즘을 기반으로한 퍼지 시스템의 동정)

  • Choi, Jeoung-Nae;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2007.04a
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    • pp.201-203
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    • 2007
  • The paper concerns the successive optimization for structure and parameters of fuzzy inference systems that is based on parallel Genetic Algorithms (PGA) and information data granulation (IG). PGA is multi, population based genetic algorithms, and it is used tu optimize structure and parameters of fuzzy model simultaneously, The granulation is realized with the aid of the C-means clustering. The concept of information granulation was applied to the fuzzy model in order to enhance the abilities of structural optimization. By doing that, we divide the input space to form the premise part of the fuzzy rules and the consequence part of each fuzzy rule is newly' organized based on center points of data group extracted by the C-Means clustering, It concerns the fuzzy model related parameters such as the number of input variables to be used in fuzzy model. a collection of specific subset of input variables, the number of membership functions according to used variables, and the polynomial type of the consequence part of fuzzy rules, The simultaneous optimization mechanism is explored. It can find optimal values related to structure and parameter of fuzzy model via PGA, the C-means clustering and standard least square method at once. A comparative analysis demonstrates that the Dnmosed algorithm is superior to the conventional methods.

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Scale Factor Tuning of the Fuzzy Controller Using Continuous Fuzzy Input Variables (연속형 퍼지 입력변수를 사용하는 퍼지 제어기의 환산계수 동조)

  • Lim, Young-Cheol;Park, Jong-Gun;Wi, Seog-Oh;Jung, Hyun-Cheol
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1359-1361
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    • 1996
  • This paper describes a design of real time fuzzy controller using Minimum fuzzy control Rule Selection Method(MRSM). The control algorithm of dynamic systems needs less computation time and memory. To reduce the computation time of fuzzy logic controller, minimum number of rules are to be selected for the fuzzy input variable. The universe of discourse is divided by the number of linguistic labels to allocate the assigned membership function to the fuzzy input variables. In this case, since fuzzy input variables are continuous, scale factor SU is tuned independently. According to increment of SU control surface is improved to adapt the change of system parameter. At this, crisp control surface is increased. With the increament of crisp control surface, fuzzy control surface is reduced. When error state deviates from desirable error state, crisp control surface is more useful than fuzzy control surface for obtaining fast rising time.

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Central limit theorems for fuzzy random sets (퍼지 랜덤 집합에 대한 중심극한정리)

  • Kwon Joong-Sung;Kim Yun-Kyong;Joo Sang-Yeol;Choi Gyeong-Suk
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.3
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    • pp.337-342
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    • 2005
  • The present paper establishes the improved version of central limit theorem for sums of level-continuous fuzzy set-valued random variables as a generalization of central limit theorem for sums of independent and identically distributed set-valued random variables.

Decision Making Method for Structural Design Scheme (구조 설계방안에 대한 의사결정 방법)

  • 모재근;박춘욱;손수덕;강문명
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.243-250
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    • 1998
  • In this paper, for the fuzzy constraints not only fuzziness of the constraints relation but also uncertainties of the response of the structures, allowable limits of the constraints and structural design variables, etc. are considered,. so that the fuzzy optimization of the structures can involve more wide scope of the problem and the fuzzy optimal problem is more generalized. In the decision making of the structural design scheme, every possible cases of the fuzzy variables, random variables and fuzzy-random variables, etc. for the uncertainties of the optimization problem are all considered, so the most general method of the decision making is presented. And a numerical example for the three bar truss is offered to demonstrate the reliability and execution possibility proposed method in this paper.

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Recognition and Classification of Power Quality Disturbances on the basis of Pattern Linguistic Values

  • Liu, XiaoSheng;Liu, Bo;Xu, DianGuo
    • Journal of Electrical Engineering and Technology
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    • v.11 no.2
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    • pp.309-319
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    • 2016
  • This paper presents a new recognition and classification method for power quality (PQ) disturbances on the basis of pattern linguistic values. This method solves the difficulty of recognizing disturbances rapidly and accurately by using fuzzy logic. This method uses classification disturbance patterns to define the linguistic values of fuzzy input variables and used the input variables of corresponding disturbance pattern to set membership functions. This method also sets the fuzzy rules by analyzing the distribution regularities of the input variable values. One characteristic of this method is that the linguistic values of fuzzy input variables and the setting of membership functions are not only related to the input variables but also to the character of classification disturbance and the classification results. Furthermore, the number of fuzzy rules is equal to the number of disturbance patterns. By using this method for disturbance classification, the membership function and design of fuzzy rules are directly related to the objective of classification, thus effectively reducing the complexity of the design process and yielding accurate classification results. The classification results of the simulation and measured data verify the feasibility and effectiveness of this method.

Design and Implemention of Decision Model for Registration Fee Using the Fuzzy Reasoning (퍼지추론에 의한 등록금 결정 모델의 설계 및 구현)

  • Chung, Hong;Pi, Su-Young;Chung, Hwan-Mook
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.97-101
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    • 1997
  • In recent years, there have been a number of applications of fuzzy logic in fuzzy reasoning system. The main objective of these applications is to approximate a decision making using the fuzzy reasoning system. This paper designs a fuzzy reasoning model for the decision making of registration fee at a private school, implements it applying for linguistic variables and fuzzy rules, and evaluates the practical availability of the model. The system accepts fuzzy rules, the type of membership functions, the domain of fuzzy sets and hedge, and fuzzifies the linguistic variables to generates fuzzy sets. The fuzzy sets generated are combined to constructs a solution fuzzy set. Finally, the system defuzzifies the solution fuzzy set to calculate a scalar value which is used for decision making.

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Neo Fuzzy Set-based Polynomial Neural Networks involving Information Granules and Genetic Optimization

  • Roh, Seok-Beom;Oh, Sung-Kwun;Ahn, Tae-Chon
    • Proceedings of the KIEE Conference
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    • 2005.05a
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    • pp.3-5
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    • 2005
  • In this paper. we introduce a new structure of fuzzy-neural networks Fuzzy Set-based Polynomial Neural Networks (FSPNN). The two underlying design mechanisms of such networks involve genetic optimization and information granulation. The resulting constructs are Fuzzy Polynomial Neural Networks (FPNN) with fuzzy set-based polynomial neurons (FSPNs) regarded as their generic processing elements. First, we introduce a comprehensive design methodology (viz. a genetic optimization using Genetic Algorithms) to determine the optimal structure of the FSPNNs. This methodology hinges on the extended Group Method of Data Handling (GMDH) and fuzzy set-based rules. It concerns FSPNN-related parameters such as the number of input variables, the order of the polynomial, the number of membership functions, and a collection of a specific subset of input variables realized through the mechanism of genetic optimization. Second, the fuzzy rules used in the networks exploit the notion of information granules defined over systems variables and formed through the process of information granulation. This granulation is realized with the aid of the hard C-Means clustering (HCM). The performance of the network is quantified through experimentation in which we use a number of modeling benchmarks already experimented with in the realm of fuzzy or neurofuzzy modeling.

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