• Title/Summary/Keyword: Fuzzy Sets

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Emerging Data Management Tools and Their Implications for Decision Support

  • Eorm, Sean B.;Novikova, Elena;Yoo, Sangjin
    • Journal of Korea Society of Industrial Information Systems
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    • v.2 no.2
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    • pp.189-207
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    • 1997
  • Recently, we have witnessed a host of emerging tools in the management support systems (MSS) area including the data warehouse/multidimensinal databases (MDDB), data mining, on-line analytical processing (OLAP), intelligent agents, World Wide Web(WWW) technologies, the Internet, and corporate intranets. These tools are reshaping MSS developments in organizations. This article reviews a set of emerging data management technologies in the knowledge discovery in databases(KDD) process and analyzes their implications for decision support. Furthermore, today's MSS are equipped with a plethora of AI techniques (artifical neural networks, and genetic algorithms, etc) fuzzy sets, modeling by example , geographical information system(GIS), logic modeling, and visual interactive modeling (VIM) , All these developments suggest that we are shifting the corporate decision making paradigm form information-driven decision making in the1980s to knowledge-driven decision making in the 1990s.

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Effective Artificial Neural Network Approach for Non-Binary Incidence Matrix-Based Part-Machine Grouping (비이진 연관행렬 기반의 부품-기계 그룹핑을 위한 효과적인 인공신경망 접근법)

  • Won, You-Kyung
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.4
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    • pp.69-87
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    • 2006
  • This paper proposes an effective approach for the part-machine grouping(PMG) based on the non-binary part-machine incidence matrix in which real manufacturing factors such as the operation sequences with multiple visits to the same machine and production volumes of parts are incorporated and each entry represents actual moves due to different operation sequences. The proposed approach adopts Fuzzy ART neural network to quickly create the Initial part families and their machine cells. A new performance measure to evaluate and compare the goodness of non-binary block diagonal solution is suggested. To enhance the poor solution due to category proliferation inherent to most artificial neural networks, a supplementary procedure reassigning parts and machines is added. To show effectiveness of the proposed approach to large-size PMG problems, a psuedo-replicated clustering procedure is designed. Experimental results with intermediate to large-size data sets show effectiveness of the proposed approach.

A Study on a Pattern Classification of HDD (Hard Disk Drive) Defect Distribution (HDD (Hard Disk Drive) 결함 분포의 패턴 분류에 관한 연구)

  • Kwon, Hyun-Tae;Moon, Un-Chul;Lee, Seung-Chul
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2846-2848
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    • 2005
  • This paper proposes a pattern classification algorithm for the defect distribution of Hard Disk Drive (HDD). In the HDD productions, the defect pattern of defective HDD set is important information to diagnosis of defective HDD set. In this paper, 5 characteristics are determined for the classification to six standard defect pattern classes. A fuzzy inference system is proposed, the inputs of which are 5 characteristic values and the outputs are the possibilities that the input pattern is classified to the standard patterns. Classification result is the pattern with maximum possibility. The proposed algorithm is implemented with a PC system for defective HDD sets and shows its effectiveness.

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Cluster-based Information Retrieval with Tolerance Rough Set Model

  • Ho, Tu-Bao;Kawasaki, Saori;Nguyen, Ngoc-Binh
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.2 no.1
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    • pp.26-32
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    • 2002
  • The objectives of this paper are twofold. First is to introduce a model for representing documents with semantics relatedness using rough sets but with tolerance relations instead of equivalence relations (TRSM). Second is to introduce two document hierarchical and nonhierarchical clustering algorithms based on this model and TRSM cluster-based information retrieval using these two algorithms. The experimental results show that TRSM offers an alterative approach to text clustering and information retrieval.

A Simple Tandem Method for Clustering of Multimodal Dataset

  • Cho C.;Lee J.W.;Lee J.W.
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2003.05a
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    • pp.729-733
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    • 2003
  • The presence of local features within clusters incurred by multi-modal nature of data prohibits many conventional clustering techniques from working properly. Especially, the clustering of datasets with non-Gaussian distributions within a cluster can be problematic when the technique with implicit assumption of Gaussian distribution is used. Current study proposes a simple tandem clustering method composed of k-means type algorithm and hierarchical method to solve such problems. The multi-modal dataset is first divided into many small pre-clusters by k-means or fuzzy k-means algorithm. The pre-clusters found from the first step are to be clustered again using agglomerative hierarchical clustering method with Kullback- Leibler divergence as the measure of dissimilarity. This method is not only effective at extracting the multi-modal clusters but also fast and easy in terms of computation complexity and relatively robust at the presence of outliers. The performance of the proposed method was evaluated on three generated datasets and six sets of publicly known real world data.

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SOFT BCC-ALGEBRAS

  • Jun, Young-Bae;Lee, Kyoung-Ja;Ozturk, Mehmet Ali
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1293-1305
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    • 2009
  • Molodtsov [D. Molodtsov, Soft set theory First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCC-algebras. The notion of (trivial, whole) soft BCC-algebras and soft BCC-subalgebras are introduced, and several examples are provided. Relations between a fuzzy subalgebra and a soft BCC-algebra are given, and the characterization of soft BCC-algebras is established.

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Efficient Extraction of Hierarchically Structured Rules Using Rough Sets

  • Lee, Chul-Heui;Seo, Seon-Hak
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.2
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    • pp.205-210
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    • 2004
  • This paper deals with rule extraction from data using rough set theory. We construct the rule base in a hierarchical granulation structure by applying core as a classification criteria at each level. When more than one core exist, the coverage is used for the selection of an appropriate one among them to increase the classification rate and accuracy. In Addition, a probabilistic approach is suggested so that the partially useful information included in inconsistent data can be contributed to knowledge reduction in order to decrease the effect of the uncertainty or vagueness of data. As a result, the proposed method yields more proper and efficient rule base in compatability and size. The simulation result shows that it gives a good performance in spite of very simple rules and short conditionals.

A study on interval-valued necessity measures through the Choquet integral criterian (쇼케이 적분 기준을 통한 구간치 필요측도에 관한 연구)

  • Jang, Lee-Chae;Kim, Tae-Kyun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.3
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    • pp.350-354
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    • 2009
  • Y. R$\acute{e}$ball$\acute{e}$[Fuzzy Sets and Systems, vol.157, pp.3025-2039, 2006] discussed the representation of necessity measure through the Choquet integral criterian. He also considered a decision maker who ranks necessity measures related with Choquet integral representation. Our motivation of this paper is that a decision maker have an "ambiguity" necessity measure to present preferences. In this paper, we discuss the representation of interval-valued necessity measures through the Choquet integral criterian.

Mathematics of Uncertainty: Probability and Possibility (불확실성의 수학 : 확률론과 개연론)

  • Koh, Young-Mee;Ree, Sang-Wook
    • Journal for History of Mathematics
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    • v.25 no.1
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    • pp.1-13
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    • 2012
  • Possibility theory is a kind of mathematics of uncertainty for handling incomplete information. In this paper, we discuss vagueness and randomness as some causes of uncertainty and we introduce the possibility theory as a way of dealing with uncertainty, comparing it with the probability theory.

GENERALIZED NET MODEL OF INTRANET IN AN ABSTRACT UNIVERSITY WITH CURRENT ESTIMATIONS (II)

  • Langova-Orozova Daniela;Sotirova Evdokia;Atanassov Krassimir;Melo-Pinto Pedro;Kim Taekyun;Park Dal-Won;Kim Yung-Hwan;Jang Lee-Chae;Kang Dong-Jin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.3
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    • pp.382-388
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    • 2005
  • We apply estimations of the intuitionistic fuzzy sets on the basis of which some amendments nay be undertaken. In particular, this paper describes the process of working out a university classes schedule.