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A Variable Precision Rough Set Model for Interval data (구간 데이터를 위한 가변정밀도 러프집합 모형)

  • Kim, Kyeong-Taek
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.34 no.2
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    • pp.30-34
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    • 2011
  • Variable precision rough set models have been successfully applied to problems whose domains are discrete values. However, there are many situations where discrete data is not available. When it comes to the problems with interval values, no variable precision rough set model has been proposed. In this paper, we propose a variable precision rough set model for interval values in which classification errors are allowed in determining if two intervals are same. To build the model, we define equivalence class, upper approximation, lower approximation, and boundary region. Then, we check if each of 11 characteristics on approximation that works in Pawlak's rough set model is valid for the proposed model or not.

Modified Sign Test Using Reverse Ranked Ordering-Set Samples

  • Kim, Hyun-Gee;Kim, Dong-Hee
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.419-428
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    • 2006
  • The method of Reverse Ranked Ordering-Set Sampling(RROSS) as an opposed Ranked Ordering-Set Sampling(ROSS) and Ranked-Set Sampling(RSS) is discussed. We propose the test statistic using sign test on RROSS. This method is effective when observations are expensive and measurement is perhaps destructive or invasive. This method obtains more informations than ROSS and RSS. The asymptotic relative efficiencies of RROSS with respect to ROSS and RSS are always greater than 1 for all sample sizes. We consider a simple model to describe the effect of imperfect judgment errors.

Furnace Set-up Prediction System Using Neural Network (신경망을 이용한 용해로 최적 SET-UP 예측시스템)

  • 한부학
    • Journal of Intelligence and Information Systems
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    • v.2 no.1
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    • pp.109-120
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    • 1996
  • TV 부라운관 유리를 생산하기 위한 용해 공정은 원료의 투입에서부터 유리물이 생성될 때 까지 고온의 화확적 작용을 거친다. 유리몰을 생성하기 위한 여러 가지 조건중에서 용해로 내부에서의 유리몰의 온도 변화 및 이에 따른 제반 공정변수의 조정 설정치(Set-up)는 불량률에 밀접한 영향을 미친다. 그러나 고온의 밀폐된 환경에서 반응이 진행되므로 공정의 운전 요원들은 그들의 경험을 바탕으로 용해로의 운전상태를 파악하고 운전해 나간다. 본 연구에서는 이러한 경험적 판단에 따른 위험성을 가능한 한 줄이고 용해로의 안정적인 운영을 통하여 불량률을 감소시키기 위하여 용해로 최적 Set-up 예측 시스템을 개발하였다. 이 시스템은 일정 기간 동안의 용해로서 운전 상태와 불량률간의 관계를 신경망 기법을 이용하여 학습한 후에, 이를 이용하여 불량률을 유지하기 위한 Set-up 값을 예측하여 준다.

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Zero-one Integer Programming Approach to Determine the Minimum Break Point Set in Multi-loop and Parallel Networks

  • Moirangthem, Joymala;Dash, Subhransu Sekhar;Ramaswami, Ramas
    • Journal of Electrical Engineering and Technology
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    • v.7 no.2
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    • pp.151-156
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    • 2012
  • The current study presents a zero-one integer programming approach to determine the minimum break point set for the coordination of directional relays. First, the network is reduced if there are any parallel lines or three-end nodes. Second, all the directed loops are enumerated to reduce the iteration. Finally, the problem is formulated as a set-covering problem, and the break point set is determined using the zero-one integer programming technique. Arbitrary starting relay locations and the arbitrary consideration of relay sequence to set and coordinate relays result in navigating the loops many times and futile attempts to achieve system-wide relay coordination. These algorithms are compared with the existing methods, and the results are presented. The problem is formulated as a setcovering problem solved by the zero-one integer programming approach using LINGO 12, an optimization modeling software.

A Construction of the Principal Period-2 Component in the Degree-9 Bifurcation Set with Parametric Boundaries (9차 분기집합의 2-주기 성분의 경계방정식에 관한 연구)

  • Geum, Young-Bee
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.7 no.6
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    • pp.1421-1424
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    • 2006
  • By extending the Mandelbrot set for the complex polynomial $$M={c\in C\;:\; _{k\rightarrow\infty}^{lim}P_c^k(0)\;{\neq}\;{\infty}$$ we define the degree-n bifurcation set. In this paper, we formulate the boundary equation of a period-2 component on the main component in the degree-9 bifurcation set by parameterizing its image. We establish an algorithm constructing a period-2 component in the degree-9 bifurcation set and the typical implementations show the satisfactory result with Mathematica codes grounded on the analysis.

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Generalized Intuitionistic Fuzzy Soft Sets

  • Park, Jin-Han;Kwun, Young-Chel;Hwang, Jin-Soo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.21 no.3
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    • pp.389-394
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    • 2011
  • The notion of generalized intuitionistic fuzzy soft set theory is proposed. Our generalized intuitionistic fuzzy soft set theory is a combination of the generalized intuitionistic fuzzy set theory and the soft set theory. In other words, our generalized intuitionistic fuzzy soft set theory is an extension of the intuitionistic fuzzy soft set theory. The complement, "and" and "or" operations are defined on the generalized intuitionistic fuzzy soft sets. Their basic properties for the generalized intuitionistic fuzzy soft sets are also presented and discussed.

Structural characterizations of monotone interval-valued set functions defined by the interval-valued Choquet integral (구간치 쇼케이적분에 의해 정의된 단조 구간치 집합함수의 구조적 성질에 관한 연구)

  • Jang, Lee-Chae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.3
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    • pp.311-315
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    • 2008
  • We introduce nonnegative interval-valued set functions and nonnegative measurable interval-valued Junctions. Then the interval-valued Choquet integral determines a new nonnegative monotone interval-valued set function which is a generalized concept of monotone set function defined by Choquet integral in [17]. We also obtained absolutely continuity of them in [9]. In this paper, we investigate some characterizations of the monotone interval-valued set function defined by the interval-valued Choquet integral, and such as subadditivity, superadditivity, null-additivity, converse-null-additivity.

A note on compact set-valued Choquet integrals (콤팩트 집합치 쇼케이적분에 관한 연구)

  • Jang Lee-Chae;Kim Hyun-Mee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.15 no.5
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    • pp.588-592
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    • 2005
  • We note that Jang et al. studied closed set-valued Choquet integrals with respect to fuzzy measures. In this paper, we consider Choquet integrals of compact set-valued functions, and prove some properties of them. In particular, using compact set-valued functions instead of interval valued, we investigate characterization of compact set-valued Choquet integrals.

PERMEABLE VALUES AND ENERGETIC SETS IN BCK/BCI-ALGEBRAS BASED ON FUZZY POINTS

  • Song, Seok Zun;Kim, Hee Sik;Roh, Eun Hwan;Jun, Young Bae
    • Honam Mathematical Journal
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    • v.41 no.3
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    • pp.581-593
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    • 2019
  • The notions of (${\in}$, ${\in}{\vee}q$)-permeable S-value and (${\in}$, ${\in}{\vee}q$)-permeable I-value are introduced, and related properties are investigated. Relations among (${\in}$, ${\in}{\vee}q$)-fuzzy subalgebra, (${\in}$, ${\in}{\vee}q$)-fuzzy ideal, (strong) lower and (strong) upper level sets, (${\in}$, ${\in}{\vee}q$)-permeable S-value, (${\in}$, ${\in}{\vee}q$)-permeable I-value, S-energetic set, I-energetic set, right stable set and right vanished set are discussed.

An Improved Level Set Method to Image Segmentation Based on Saliency

  • Wang, Yan;Xu, Xianfa
    • Journal of Information Processing Systems
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    • v.15 no.1
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    • pp.7-21
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    • 2019
  • In order to improve the edge segmentation effect of the level set image segmentation and avoid the influence of the initial contour on the level set method, a saliency level set image segmentation model based on local Renyi entropy is proposed. Firstly, the saliency map of the original image is extracted by using saliency detection algorithm. And the outline of the saliency map can be used to initialize the level set. Secondly, the local energy and edge energy of the image are obtained by using local Renyi entropy and Canny operator respectively. At the same time, new adaptive weight coefficient and boundary indication function are constructed. Finally, the local binary fitting energy model (LBF) as an external energy term is introduced. In this paper, the contrast experiments are implemented in different image database. The robustness of the proposed model for segmentation of images with intensity inhomogeneity and complicated edges is verified.