• Title/Summary/Keyword: fuzzy-set theory

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COMMUNICATION NETWORK DESIGN PROBLEMS USING THE FUZZY SET APPROACH

  • Jin, Chan-yong;Park, Ryun-;Kim, Sam-Soo-
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1334-1337
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    • 1993
  • In this study, we newly formulated the link capcity allocation problem and the link capacity allocation and routing problem in an voice/data integrated network by the fuzzy set concept. We developed efficient algorithms for the above fuzzified problems and successfully showed that the fuzzy set theory is the powerful tool for the design problems in communication networks.

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An improvement on fuzzy seismic fragility analysis using gene expression programming

  • Ebrahimi, Elaheh;Abdollahzadeh, Gholamreza;Jahani, Ehsan
    • Structural Engineering and Mechanics
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    • v.83 no.5
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    • pp.577-591
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    • 2022
  • This paper develops a comparatively time-efficient methodology for performing seismic fragility analysis of the reinforced concrete (RC) buildings in the presence of uncertainty sources. It aims to appraise the effectiveness of any variation in the material's mechanical properties as epistemic uncertainty, and the record-to-record variation as aleatory uncertainty in structural response. In this respect, the fuzzy set theory, a well-known 𝛼-cut approach, and the Genetic Algorithm (GA) assess the median of collapse fragility curves as a fuzzy response. GA is requisite for searching the maxima and minima of the objective function (median fragility herein) in each membership degree, 𝛼. As this is a complicated and time-consuming process, the authors propose utilizing the Gene Expression Programming-based (GEP-based) equation for reducing the computational analysis time of the case study building significantly. The results indicate that the proposed structural analysis algorithm on the derived GEP model is able to compute the fuzzy median fragility about 33.3% faster, with errors less than 1%.

A Study on Data Clustering Method Using Local Probability (국부 확률을 이용한 데이터 분류에 관한 연구)

  • Son, Chang-Ho;Choi, Won-Ho;Lee, Jae-Kook
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.1
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    • pp.46-51
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    • 2007
  • In this paper, we propose a new data clustering method using local probability and hypothesis theory. To cluster the test data set we analyze the local area of the test data set using local probability distribution and decide the candidate class of the data set using mean standard deviation and variance etc. To decide each class of the test data, statistical hypothesis theory is applied to the decided candidate class of the test data set. For evaluating, the proposed classification method is compared to the conventional fuzzy c-mean method, k-means algorithm and Discriminator analysis algorithm. The simulation results show more accuracy than results of fuzzy c-mean method, k-means algorithm and Discriminator analysis algorithm.

A study on segmentation of medical image using fuzzy set theory (퍼지 이론을 이용한 의료 영상 특징 추출에 관한 연구)

  • 김형석;한영오;박상희
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.741-745
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    • 1991
  • This paper describes a feature extraction in digitized chest X-ray image and CT head Image. There are Extraction, Thresholding, Region G rowing, Split-Merge and Relaxation in feature extraction technique. In this study, Region Growing System was realized and Fuzzy Set Theory was applied in order to extract the vague region which the conventional method has difficulties in extracting. The performance of proposed algorithm was proved by being applied to chest X-ray image and CT head image.

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Use of Fuzzy Set Theory in the Inspection of Transmission Lines of Nuclear Installations

  • Durpel, L.Van-den;D.Ruan;P.D hondt
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1066-1069
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    • 1993
  • The presence of older installations, in particular nuclear facilities, demands extra studies concerning the safety evaluation of those installations. One of the aspects to deal with is the safety of the several transmission lines in a nuclear installation, for instance the safety of control, safety against fire, etc.. . This paper investigates the use of fuzzy set theory in the inspection of transmission lines of nuclear installations at SCK/CEN, Belgium.

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The construction of the fuzzy logic controller (Fuzzy logic제어기의 구성)

  • 김성호;박태홍;이동원;박귀태;이기상
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.418-420
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    • 1989
  • Many complex industrial processes cannot be satisfactorily controlled using the results of modern control theory, mainly because their precise structure is unknown. However this is often balanced by a considerable amount of operator's heuristic knowledges for the process which is difficult to quantify and utilize. Fuzzy set theory is a relatively new concept which allows this qualitativeness to be expressed rigorously and therefore in this paper modified PI type fuzzy logic controller is introduced and its usefulness for control is assessed.

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Edge Detection of Characters on the Rubber Tire Image Using Fuzzy $\alpha-Cut$ Set (퍼지 $\alpha$ 컷 집합에 의한 고무 타이어 영상의 문자 윤관선 추출)

  • 김경민;박중조;박귀태
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.6
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    • pp.71-80
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    • 1994
  • The purpose of this paper is to explore the use of fuzzy set theory for image processing and analysis. As an application example, the fuzzy method of edge detection is proposed to extract the edges of raised characters on tires.In general, Sobel, Prewitt, Robert and LoG filters are used to detect the edge, but it is difficult to detect the edge because of ambiguity of representations, noise and general problems in the interpretation of tire image. Therefore, in his paper, the fuzzy property plane has been extracted from the spatial domain using the ramp-mapping function. And then the ideas of fuzzy MIN and MAX are applied in removing noise and enhancement of the image simultaneously. From the result of MIN and MAX procedure a new fuzzy singleton is generated by extracting the difference between adjacent membership function values. And the edges are extracted by applying fuzzy $\alpha$-cut set to the fuzzy singletion, Finally, these ideas are applied to the tire images.

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HYPO-CONVERGENCE OF SEQUENCES OF FUZZY SETS AND MAXIMIZATION

  • Tortop, Sukru;Dundar, ErdInC
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.461-472
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    • 2022
  • In optimization theory, hypo-convergence is considered as an effective tool by providing the convergence of supremum values under some conditions. This feature makes it different from other types of convergence. Therefore, we have defined the hypo-convergence of a sequence of fuzzy sets due to the increasing interest in fuzzy set theory in recent years. After giving a theoretical framework, we deal with the optimization process by using a sequential characterization of hypo-convergence of sequence of fuzzy sets. Since the maximization process in optimization theory is beyond the presence of hypo-convergence, we give some conditions to satisfy the convergence of supremum values. Furthermore, we show how sequence of fuzzy sets and fuzzy numbers differ in the convergence of the supremum values.

Intelligent algorithm and optimum design of fuzzy theory for structural control

  • Chen, Z.Y.;Wang, Ruei-Yuan;Meng, Yahui;Chen, Timothy
    • Smart Structures and Systems
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    • v.30 no.5
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    • pp.537-544
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    • 2022
  • The optimal design of structural composite materials is a research topic that attracts the attention of lots researchers. For many more thirty years, there has been increasing interest in the applications in all kinds of topics, which means taking advantage of fuzzy set theory, fuzzy analysis, and fuzzy control for designing high-performance and efficient structural systems is a fundamental concern for engineers, and many applications require the use of a systems approach to combine structural and active control systems. Therefore, an intelligent method can be designed based on the mitigation method, and by establishing the stable of the closed-loop fuzzy mitigation system, the behavior of the closed-loop fuzzy mitigation system can be accurately predicted. In this article, the intelligent algorithm and optimum design of fuzzy theory for structural control has been provided and demonstrated effective and efficient in practical engineering issues.

Physically Based Landslide Susceptibility Analysis Using a Fuzzy Monte Carlo Simulation in Sangju Area, Gyeongsangbuk-Do (Fuzzy Monte Carlo simulation을 이용한 물리 사면 모델 기반의 상주지역 산사태 취약성 분석)

  • Jang, Jung Yoon;Park, Hyuck Jin
    • Economic and Environmental Geology
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    • v.50 no.3
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    • pp.239-250
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    • 2017
  • Physically based landslide susceptibility analysis has been recognized as an effective analysis method because it can consider the mechanism of landslide occurrence. The physically based analysis used the slope geometry and geotechnical properties of slope materials as input. However, when the physically based approach is adopted in regional scale area, the uncertainties were involved in the analysis procedure due to spatial variation and complex geological conditions, which causes inaccurate analysis results. Therefore, probabilistic method have been used to quantify these uncertainties. However, the uncertainties caused by lack of information are not dealt with the probabilistic analysis. Therefore, fuzzy set theory was adopted in this study because the fuzzy set theory is more effective to deal with uncertainties caused by lack of information. In addition, the vertex method and Monte Carlo simulation are coupled with the fuzzy approach. The proposed approach was used to evaluate the landslide susceptibility for a regional study area. In order to compare the analysis results of the proposed approach, Monte Carlo simulation as the probabilistic analysis and the deterministic analysis are used to analyze the landslide susceptibility for same study area. We found that Fuzzy Monte Carlo simulation showed the better prediction accuracy than the probabilistic analysis and the deterministic analysis.