• Title/Summary/Keyword: Fuzzy compactness

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Filter Convergence and Fuzzy Topology

  • Min, Kyung-Chan;Lee, Yoon-Jin;Myung, Jae-Deuk
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.10 no.4
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    • pp.269-274
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    • 2010
  • After introducing many different types of prefilter convergence, we introduce an universal method to define various notions of compactness using cluster point and convergence of a prefilter and to prove the Tychonoff theorem using characterizations of ultra(maximal) prefilters.

An Image Segmentation Method and Similarity Measurement Using fuzzy Algorithm for Object Recognition (물체인식을 위한 영상분할 기법과 퍼지 알고리듬을 이용한 유사도 측정)

  • Kim, Dong-Gi;Lee, Seong-Gyu;Lee, Moon-Wook;Kang, E-Sok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.2
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    • pp.125-132
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    • 2004
  • In this paper, we propose a new two-stage segmentation method for the effective object recognition which uses region-growing algorithm and k-means clustering method. At first, an image is segmented into many small regions via region growing algorithm. And then the segmented small regions are merged in several regions so that the regions of an object may be included in the same region using typical k-means clustering method. This paper also establishes similarity measurement which is useful for object recognition in an image. Similarity is measured by fuzzy system whose input variables are compactness, magnitude of biasness and orientation of biasness of the object image, which are geometrical features of the object. To verify the effectiveness of the proposed two-stage segmentation method and similarity measurement, experiments for object recognition were made and the results show that they are applicable to object recognition under normal circumstance as well as under abnormal circumstance of being.

An integral based fuzzy approach to evaluate waste materials for concrete

  • Onat, Onur;Celik, Erkan
    • Smart Structures and Systems
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    • v.19 no.3
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    • pp.323-333
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    • 2017
  • Waste materials in concrete have been considered as one of the most important issues by the authorities, policy makers and researchers to maintain engineering serviceability in terms of economy, durability and sustainability. Therefore, evaluation and selection of waste materials with respect to multi criteria decision making (MCDM) for the construction industry has been gained importance for recovery and reuse. In this paper, Choquet integral based fuzzy approach is proposed for evaluating the most suitable waste materials with respect to compressive strength, tensile strength, flexural strength, compactness, toughness (resistivity for dynamic loads), water absorption and accessibility. On conclusion, waste tyre and silica fume were determined as the most suitable waste materials for concrete production. The obtained results are recommended to assist the authorities on configuring well designed strategies for construction industry with disposal materials.

Effective Image Segmentation using a Locally Weighted Fuzzy C-Means Clustering (지역 가중치 적용 퍼지 클러스터링을 이용한 효과적인 이미지 분할)

  • Alamgir, Nyma;Kim, Jong-Myon
    • Journal of the Korea Society of Computer and Information
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    • v.17 no.12
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    • pp.83-93
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    • 2012
  • This paper proposes an image segmentation framework that modifies the objective function of Fuzzy C-Means (FCM) to improve the performance and computational efficiency of the conventional FCM-based image segmentation. The proposed image segmentation framework includes a locally weighted fuzzy c-means (LWFCM) algorithm that takes into account the influence of neighboring pixels on the center pixel by assigning weights to the neighbors. Distance between a center pixel and a neighboring pixels are calculated within a window and these are basis for determining weights to indicate the importance of the memberships as well as to improve the clustering performance. We analyzed the segmentation performance of the proposed method by utilizing four eminent cluster validity functions such as partition coefficient ($V_{pc}$), partition entropy ($V_{pe}$), Xie-Bdni function ($V_{xb}$) and Fukuyama-Sugeno function ($V_{fs}$). Experimental results show that the proposed LWFCM outperforms other FCM algorithms (FCM, modified FCM, and spatial FCM, FCM with locally weighted information, fast generation FCM) in the cluster validity functions as well as both compactness and separation.

A new Design of Granular-oriented Self-organizing Polynomial Neural Networks (입자화 중심 자기구성 다항식 신경 회로망의 새로운 설계)

  • Oh, Sung-Kwun;Park, Ho-Sung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.61 no.2
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    • pp.312-320
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    • 2012
  • In this study, we introduce a new design methodology of a granular-oriented self-organizing polynomial neural networks (GoSOPNNs) that is based on multi-layer perceptron with Context-based Polynomial Neurons (CPNs) or Polynomial Neurons (PNs). In contrast to the typical architectures encountered in polynomial neural networks (PNN), our main objective is to develop a methodological design strategy of GoSOPNNs as follows : (a) The 1st layer of the proposed network consists of Context-based Polynomial Neuron (CPN). In here, CPN is fully reflective of the structure encountered in numeric data which are granulated with the aid of Context-based Fuzzy C-Means (C-FCM) clustering method. The context-based clustering supporting the design of information granules is completed in the space of the input data while the build of the clusters is guided by a collection of some predefined fuzzy sets (so-called contexts) defined in the output space. (b) The proposed design procedure being applied at each layer of GoSOPNN leads to the selection of preferred nodes of the network (CPNs or PNs) whose local characteristics (such as the number of contexts, the number of clusters, a collection of the specific subset of input variables, and the order of the polynomial) can be easily adjusted. These options contribute to the flexibility as well as simplicity and compactness of the resulting architecture of the network. For the evaluation of performance of the proposed GoSOPNN network, we describe a detailed characteristic of the proposed model using a well-known learning machine data(Automobile Miles Per Gallon Data, Boston Housing Data, Medical Image System Data).