• Title/Summary/Keyword: set theory

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수학적 대상으로서 ‘애매모호’ 에 대한 고찰

  • 박창균
    • Journal for History of Mathematics
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    • v.14 no.2
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    • pp.93-100
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    • 2001
  • The problem of vagueness has been investigated for a long time by philosophers and mathematicians. There are there approaches in mathematics to the problem, which are probability theory, fuzzy logic, and rough set theory. In this paper I introduce these theories and their meanings.

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A Visual Image Perception of Clothing Colors, Color Combinations of Borean Traditional Dress for Woman(Part I) (복식색과 색조합의 이미지 지각(제1보) -여자 저고리, 치마를 중심으로 한 준실험 연구 -)

  • 이혜숙;김재숙
    • Journal of the Korean Society of Clothing and Textiles
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    • v.22 no.5
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    • pp.597-606
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    • 1998
  • The purposes of the study were 1) to evaluate the visual image of colored Korean traditional dress for woman 2) to analyze the colors and, color combinations effect on the image perception using gestalt theory. The research method was a quasi-experimental with a between subjects design. The experimental materials developed for the study were a set of stimuli and a response scale. The stimuli was consisted of 17 drawings of females wearing Korean tradinational dress, by using CAD simulation. A response scale consisted of semantic differential scales. The subjects were 1138 undergraduate students of Taejon city, Chungnam province and Chungbuk province. Their responses to the semantic differential scales were analyzed using factor analysis, one-way ANOVA, Duncan's multiple range test, 1-test. Results were as follows; 1) The image of the stimulus was consisted of the 4 different dimensions.(sociability, evaluation, visibility, attractiveness) 2) Clothing colors had significant effects on image perception of the evaluation dimension, visibility dimension and attractiveness dimension in the mono-color set. The blue showed the most positive image on the evaluation dimension, and the yellow and the gray showed negative image on the same dimension. The yellow showed the most salient image and the gray showed the least salient image on the visibility dimension. The red showed the most attractive image and the green showed the least attractive image on the attractiveness dimension. 3) In hi-color set stimulus, the perceived image was influenced by color combinations. The yellow blouse-the red skirt set showed the most sociable image on the sociability dimension. The blue blouse-the green skirt set showed the most positive image on the evaluation dimension. The yellow blouse-the red skirt set showed the most salient image and the blue blouse-the green skirt set showed the least salient image on the visibility dimension. And the red blouse-the yellow skirt set showed the most attractive image on the attractiveness dimension. On conclusion the visual image of Korean traditional dress wearer was affected by dress colors and color combinations.

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BEST PARAMETRIC APPROXIMATION IN $C_1$(X)

  • Rhee, Hyang-Joo
    • The Pure and Applied Mathematics
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    • v.8 no.1
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    • pp.9-14
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    • 2001
  • In some problems of abstract approximation theory the approximating set depends on some parameter p. In this paper, we make a set M(f) depends on the element f, $\phi$ and then best approximations are sought from a subset M(f) of M.

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A Study of Application of Exercise Treatments according to Sasangin (사상인의 운동요법 적용에 관한 연구)

  • 이의주;이재구
    • The Journal of Korean Medicine
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    • v.24 no.1
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    • pp.84-91
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    • 2003
  • Sasang Constitutional Medicine (SCM) is based on the theory of Sasang (Taeyang, Soyang, Taeum, Soeum) in Traditional Korean Medicine (TKM). It is hypothesized that all of the things in the material world can be divided into the four categories of SCM. We made a new attempt to combine nutritive components, and patterns in physical activities with SCM. At first, we hypothetically divided the nutrients into 4 compartments according to SCM theory, and human body composition as well. These factors could be basically related to Sasangin Exercise Treatment (SET). Therefore, we applied sasangin theory to exercise prescription. As a research method, we hypothesized that human beings' types can be distinguished by mind and body. Mind was focused on exercise psychological aspects, and body also handled by nutrients, body compositions, body shapes, and exercise physiological aspects. For application of sasang theory to the exercise prescriptions, Taeumin as a sample sasangin was selected in this study. We concluded that in perspective of general traits, Taeumin have to reduce their carbohydrate intake volume, but greatly increase their intake of vitamins, minerals, and water in daily diet. They are also recommended exercises that can increase cardiorespiratory function and make them sweat, like endurance running, hiking, swimming, cycling, etc.

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Free vibration of Levy-type rectangular laminated plates using efficient zig-zag theory

  • Behera, Susanta;Kumari, Poonam
    • Advances in Computational Design
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    • v.3 no.3
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    • pp.213-232
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    • 2018
  • First time, an exact solution for free vibration of the Levy-type rectangular laminated plate is developed considering the most efficient Zig-Zag theory (ZIGT) and third order theory (TOT). The plate is subjected to hard simply supported boundary condition (Levy-type) along x axis. Using the equilibrium equations and the plate constitutive relations, a set of 12 m first order differential homogenous equations are obtained, containing displacements and stress resultant as primary variables. The natural frequencies of a single-layer isotropic, multi-layer composites and sandwich plates are tabulated for three values of length-to-thickness ratio (S) and five set of boundary conditions and further assessed by comparing with existing literature and recently developed 3D EKM (extended Kantorovich method) solution. It is found that for the symmetric composite plate, TOT produces better results than ZIGT. For antisymmetric and sandwich plates, ZIGT predicts the frequency for different boundary conditions within 3% error with respect to 3D elasticity solution while TOT gives 10% error. But, ZIGT gives better predictions than the TOT concerning the displacement and stress variables.

Classification of Textured Images Based on Discrete Wavelet Transform and Information Fusion

  • Anibou, Chaimae;Saidi, Mohammed Nabil;Aboutajdine, Driss
    • Journal of Information Processing Systems
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    • v.11 no.3
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    • pp.421-437
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    • 2015
  • This paper aims to present a supervised classification algorithm based on data fusion for the segmentation of the textured images. The feature extraction method we used is based on discrete wavelet transform (DWT). In the segmentation stage, the estimated feature vector of each pixel is sent to the support vector machine (SVM) classifier for initial labeling. To obtain a more accurate segmentation result, two strategies based on information fusion were used. We first integrated decision-level fusion strategies by combining decisions made by the SVM classifier within a sliding window. In the second strategy, the fuzzy set theory and rules based on probability theory were used to combine the scores obtained by SVM over a sliding window. Finally, the performance of the proposed segmentation algorithm was demonstrated on a variety of synthetic and real images and showed that the proposed data fusion method improved the classification accuracy compared to applying a SVM classifier. The results revealed that the overall accuracies of SVM classification of textured images is 88%, while our fusion methodology obtained an accuracy of up to 96%, depending on the size of the data base.

An Implementation of Set Constraints Logic Language Using Prolog (Prolog 언어를 사용한 집합 제한 논리 언어의 구현)

  • 김인영;신동하
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2003.10a
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    • pp.183-187
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    • 2003
  • In this paper, we describe an implementation method of "set constraints logic language" using the logic language Prolog. "Set constraints logic language" is a programming language with a new paradigm that uses the "set theory" in programming. In this paper, we explain "set constraints problem solver" that has been proposed by A. Dovier and his researchers and we describe an implementation method of this solver using Prolog. We ran easily implement the "set constraints problem solver" in Prolog, since Prolog easily implements nondeterministic problems and provides a data structure railed list. We have applied the language to several application fields to show the usefulness of the language.

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Transformation of Mass Function and Joint Mass Function for Evidence Theory

  • Suh, Doug. Y.;Esogbue, Augustine O.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.1 no.2
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    • pp.16-34
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    • 1991
  • It has been widely accepted that expert systems must reason from multiple sources of information that is to some degree evidential - uncertain, imprecise, and occasionally inaccurate - called evidential information. Evidence theory (Dempster/Shafet theory) provides one of the most general framework for representing evidential information compared to its alternatives such as Bayesian theory or fuzzy set theory. Many expert system applications require evidence to be specified in the continuous domain - such as time, distance, or sensor measurements. However, the existing evidence theory does not provide an effective approach for dealing with evidence about continuous variables. As an extension to Strat's pioneeiring work, this paper provides a new combination rule, a new method for mass function transffrmation, and a new method for rendering joint mass fuctions which are of great utility in evidence theory in the continuous domain.

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A Optimal Facility Location Using Set Covering and Minisum (Application to Optimal Location of 119 Eru) (Set Covering과 Minisum 기법을 활용한 시설물 최적위치 선정에 관한 연구 (119 구급대 위치선정사례에의 적용))

  • O, Se-Chang;Kim, Jeong-Min
    • Journal of Korean Society of Transportation
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    • v.27 no.4
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    • pp.103-113
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    • 2009
  • Quick accident spot reaching of 119ERU is the most important role in decrease of accident depth. If 4 minutes of wounded person pass after cardiac arrest, brain damage is begun. and If 10 minutes of wounded person pass after cardiac arrest, possibility to die rises. Accordingly, when establish 119ERU, need to consider travel time to traffic accidents spot. This treatise groped a facility location problem using SCLM and minisum location problem mutually. And existent minisum location problem has a problem that maximum travel time exceed $\lambda$. ERU to need in present situation and also can reduce average travel time. so this treatise propose modified minisum location problem. In case applying modified minisum location theory, 119ERU can arrive all demand and that is optimized about demand and travel time. Can minimise figure of 119 first aids to need in present situation applying this way, and also can reduce average passing time. Finally, this way can minimise figure of 119ERU to need in present situation and also can reduce average travel time.