• Title/Summary/Keyword: fuzzy number data

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Characteristics of Gas Furnace Process by Means of Partition of Input Spaces in Trapezoid-type Function (사다리꼴형 함수의 입력 공간분할에 의한 가스로공정의 특성분석)

  • Lee, Dong-Yoon
    • Journal of Digital Convergence
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    • v.12 no.4
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    • pp.277-283
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    • 2014
  • Fuzzy modeling is generally using the given data and the fuzzy rules are established by the input variables and the space division by selecting the input variable and dividing the input space for each input variables. The premise part of the fuzzy rule is presented by selection of the input variables, the number of space division and membership functions and in this paper the consequent part of the fuzzy rule is identified by polynomial functions in the form of linear inference and modified quadratic. Parameter identification in the premise part devides input space Min-Max method using the minimum and maximum values of input data set and C-Means clustering algorithm forming input data into the hard clusters. The identification of the consequence parameters, namely polynomial coefficients, of each rule are carried out by the standard least square method. In this paper, membership function of the premise part is dividing input space by using trapezoid-type membership function and by using gas furnace process which is widely used in nonlinear process we evaluate the performance.

A Movie Recommendation System based on Fuzzy-AHP with User Preference and Partition Algorithm (사용자 선호도와 군집 알고리즘을 이용한 퍼지-계층적 분석 기법 기반 영화 추천 시스템)

  • Oh, Jae-Taek;Lee, Sang-Yong
    • Journal of Digital Convergence
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    • v.15 no.11
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    • pp.425-432
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    • 2017
  • The current recommendation systems have problems including the difficulty of figuring out whether they recommend items that actual users have preference for or have simple interest in, the scarcity of data to recommend proper items due to the extremely small number of users, and the cold-start issue of the dropping system performance to recommend items that can satisfy users according to the influx of new users. In an effort to solve these problems, this study implemented a movie recommendation system to ensure user satisfaction by using the Fuzzy-Analytic Hierarchy Process, which can reflect uncertain situations and problems, and the data partition algorithm to group similar items among the given ones. The data of a survey on movie preference with 61 users was applied to the system, and the results show that it solved the data scarcity problem based on the Fuzzy-AHP and recommended items fit for a user with the data partition algorithm even with the influx of new users. It is thought that research on the density-based clustering will be needed to filter out future noise data or outlier data.

Evaluation of Technical Efficiency with Fuzzy Data in the Korean RCC/RSC (퍼지환경하의 RCC/RSC별 운영효율성 평가)

  • Keum, Jong-Soo;Jang, Woon-Jae
    • Proceedings of KOSOMES biannual meeting
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    • 2006.11a
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    • pp.253-258
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    • 2006
  • This paper aims to measure and evaluates the technical efficiency with two inputs and four outputs with the use of fuzzy DEA(Data Envelopment Analysis) in Korean RCC(Rescue Co-ordination Center)/RSC(Rescue Sub-Center). Especially, this paper included not only the marine accident data which occurred for the analysis in particular but also the possibility data of a potential marine accident by an Environmental Stress value and analyzed the technical efficiency. And in this paper, asymmetrical triangular fuzzy number is presented about inputs/ outputs data and a procedure is suggest for it solution. The basic idea is to transform the fuzzy CCR model into a crisp linear programming problem by applying an alternative ${\alpha}-cut$ approach. Also this paper propose a ranking method for fuzzy RCC/RSC using presented fuzzy DEA approach. The result, when ${\alpha}-cut$ is 0.5, efficiency priority should be in order to YS, BS, MP, TS, JJ, PH, US, IC, SC, DR, GS, TA, WD RCC/RSC. Finally, Inefficiency TA, WD RCC/RSC have to benchmarking with reference sets.

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Colorectal Cancer Staging Using Three Clustering Methods Based on Preoperative Clinical Findings

  • Pourahmad, Saeedeh;Pourhashemi, Soudabeh;Mohammadianpanah, Mohammad
    • Asian Pacific Journal of Cancer Prevention
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    • v.17 no.2
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    • pp.823-827
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    • 2016
  • Determination of the colorectal cancer stage is possible only after surgery based on pathology results. However, sometimes this may prove impossible. The aim of the present study was to determine colorectal cancer stage using three clustering methods based on preoperative clinical findings. All patients referred to the Colorectal Research Center of Shiraz University of Medical Sciences for colorectal cancer surgery during 2006 to 2014 were enrolled in the study. Accordingly, 117 cases participated. Three clustering algorithms were utilized including k-means, hierarchical and fuzzy c-means clustering methods. External validity measures such as sensitivity, specificity and accuracy were used for evaluation of the methods. The results revealed maximum accuracy and sensitivity values for the hierarchical and a maximum specificity value for the fuzzy c-means clustering methods. Furthermore, according to the internal validity measures for the present data set, the optimal number of clusters was two (silhouette coefficient) and the fuzzy c-means algorithm was more appropriate than the k-means clustering approach by increasing the number of clusters.

A Cluster Validity Index Using Overlap and Separation Measures Between Fuzzy Clusters (클러스터간 중첩성과 분리성을 이용한 퍼지 분할의 평가 기법)

  • Kim, Dae-Won;Lee, Kwang-H.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.4
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    • pp.455-460
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    • 2003
  • A new cluster validity index is proposed that determines the optimal partition and optimal number of clusters for fuzzy partitions obtained from the fuzzy c-means algorithm. The proposed validity index exploits an overlap measure and a separation measure between clusters. The overlap measure is obtained by computing an inter-cluster overlap. The separation measure is obtained by computing a distance between fuzzy clusters. A good fuzzy partition is expected to have a low degree of overlap and a larger separation distance. Testing of the proposed index and nine previously formulated indexes on well-known data sets showed the superior effectiveness and reliability of the proposed index in comparison to other indexes.

Extracting Input Features and Fuzzy Rules for forecasting KOSPI Stock Index Based on NEWFM (KOSPI 예측을 위한 NEWFM 기반의 특징입력 및 퍼지규칙 추출)

  • Lee, Sang-Hong;Lim, Joon-S.
    • Journal of Internet Computing and Services
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    • v.9 no.1
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    • pp.129-135
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    • 2008
  • This paper presents a methodology to forecast KOSPI index by extracting fuzzy rules based on the neural network with weighted fuzzy membership functions (NEWFM) and the minimized number of input features using the distributed non-overlap area measurement method. NEWFM classifies upward and downward cases of KOSPI using the recent 32 days of CPPn,m (Current Price Position of day n for n-1 to n-m days) of KOSPI. The five most important input features among CPPn,m and 38 wavelet transformed coefficients produced by the recent 32 days of CPPn,m are selected by the non-overlap area distribution measurement method. For the data sets, from 1991 to 1998, the proposed method shows that the average of forecast rate is 67.62%.

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Seismic induced damageability evaluation of steel buildings: a Fuzzy-TOPSIS method

  • Shahriar, Anjuman;Modirzadeh, Mehdi;Sadiq, Rehan;Tesfamariam, Solomon
    • Earthquakes and Structures
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    • v.3 no.5
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    • pp.695-717
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    • 2012
  • Seismic resiliency of new buildings has improved over the years due to better seismic codes and design practices. However, there is still large number of vulnerable and seismically deficient buildings. It is not economically feasible to retrofit and upgrade all vulnerable buildings, thus there is a need for rapid screening tool. Many factors contribute to the damageability of buildings; this makes seismic evaluation a complex multi-criteria decision making problem. Many of these factors are noncommensurable and involve subjectivity in evaluation that highlights the use of fuzzy-based method. In this paper, a risk-based framework earlier proposed by Tesfamariam and Saatcioglu (2008a) is extended using Fuzzy-TOPSIS method and applied to develop an evaluation and ranking scheme for steel buildings. The ranking is based on damageability that can help decision makers interpret the results and take appropriate decision actions. Finally, the application of conceptual model is demonstrated through a case study of 1994 Northridge earthquake data on seismic damage of steel buildings.

Near optimal scheduling of flexible flow shop using fuzzy optimization technique (퍼지 최적화기법을 이용한 유연 흐름 생산시스템의 근사 최적 스케쥴링)

  • Park, Seung-Kyu;Lee, Chang-Hoon;Jang, Seok-Ho;Woo, Kwang-Bang
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.2
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    • pp.235-245
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    • 1998
  • This paper presents the fuzzy optimization model based scheduling methodology for the efficient production control of a FFS(FIexible Flow Shop) under the uncertain production environment. To develop the methodology, a fuzzy optimization technique is introduced in which the uncertain production capacity caused by the random events like the machine breakdowns or the absence of workers is modeled by fuzzy number. Since the problem is NP hard, the goal of this study is to obtain the near optimal but practical schedule in an efficient way. Thus, Lagrangian relaxation method is used to decompose the problem into a set of subproblems which are easier to solve than the original one. Also, to construct the feasible schedule, a heuristic algorithm was proposed. To evaluate the performance of the proposed method, computational experiments, based on the real factory data, are performed. Then, the results are compared with those of the other methods, the deterministic one and the existing one used in the factory, in the various performance indices. The comparison results demonstrate that the proposed method is more effective than the other methods.

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Ranking Decision on Assessment Indicator of Natural Resource Conservation Area Using Fuzzy Theory - Focused on Site Selection for the National Trust - (퍼지이론을 이용한 자연자원 보전지역의 평가지표 순위 결정 - 내셔널 트러스트 후보지 선정을 중심으로 -)

  • You Ju-Han;Jung Sung-Gwan;Park Kyung-Hun;Oh Jeong-Hak
    • Journal of the Korean Institute of Landscape Architecture
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    • v.33 no.4 s.111
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    • pp.97-107
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    • 2005
  • This study was carried out to construct accurate and scientific system of assessment indicators in selection of National Trust conservation areas, which was new concept of domestic environment movement and offer the raw data of new analytic method by introducing the fuzzy theory and weight for overcoming the uncertainty of ranking decision. To transform the Likert's scale granted to assessment indicators into the type of triangular fuzzy number(a, b, c), there was conversion to each minimum(a), median(b), and maximum(c) in applying membership function, and in using the center of gravity and eigenvalue, there was to decide the ranking. The rankings of converted values applied a mean importance and weight were confirmed that they were generally changed. Therefore, the ranking decision was better to accomplish objective and rational ranking decision by applying weight that was calculated in grouping of indicator than to judge the singular concept and to be useful in assessment of diverse National Trust site. In the future, because AHP, which was general method of calculating weight, was lacked, there was to understand the critical point to fix a pertinent weight, and to carry out the study applying engineering concept like fuzzy integral using $\lambda-measure$.

Analysis of the outcome for the Korean Pro-Basketball games using Regression models (회귀모형을 이용한 한국프로농구 승부결과 분석)

  • Jhang, Hyo Jin;Kwak, Hyun;Choi, Seung Hoe
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.5
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    • pp.489-494
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    • 2015
  • The purpose of this paper is to analyse outcomes of Korean Pro-basketball games using regression models. Both Classic Fuzzy Regression Model and Fuzzy Regression Model applying linguistic variables were used to meet the purpose of the paper. In General Regression Analysis, in which the results of games are expressed and analyzed through score differences, a regression model is proposed considering influential variables for the score differences of the two teams. In Fuzzy Regression Analysis, the results are sorted into six different literal expressions, 'win with large margin, win with moderate margin, win with narrow margin, defeat with narrow margin, defeat with moderate margin, and defeat with large margin'. Athletic performances and team work of each teams were expressed in fuzzy number to analyse how much athletic performances and team work affect results of games. This paper referred back to 2013-2014 season data provided by KBL(Korean Basketball League) and professional columns on Korean basketball analysis.