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A Fuzzy Set based Method for Determining the Ranks of Fuzzy Numbers (퍼지집합을 이용한 퍼지숫자의 순위 결정 방법)

  • Lee, Jee-Hyong;Lee, Kwang-Hyung
    • Journal of KIISE:Software and Applications
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    • v.27 no.7
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    • pp.723-730
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    • 2000
  • Fuzzy numbers represent fuzzy numeric values. However, it is difficult to clearly determine whether one fuzzy number is larger or smaller than other fuzzy numbers. Thus it is also difficult to determine the rank which a fuzzy number takes, or to select the k-th largest fuzzy number in a given set of fuzzy numbers. In this paper, we propose a fuzzy set based method to determine the rank of a fuzzy number and the k-th largest fuzzy number. The proposed method uses a given fuzzy greater-than relation which is defined on a set of fuzzy numbers. Our method describes the rank of a fuzzy number with a fuzzy set of ranks that the fuzzy number can take, and the k-th largest fuzzy number with a fuzzy set of fuzzy numbers which can be k-th ranked.

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Characteristics of Fracture System in Precambrian Metamorphic Rocks and Mesozoic Granites from Seokmo-do, Ganghwa-gun (강화군 석모도 일대의 선캠브리아기 변성암류 및 중생대 화강암류에서 발달하는 단열계의 분포특성)

  • Park, Deok-Won;Lee, Chang-Bum
    • The Journal of the Petrological Society of Korea
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    • v.19 no.2
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    • pp.123-139
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    • 2010
  • The properties of fracture system in Precambrian Jangbong schist and Mesozoic granites from Seokmo-do, Ganghwa-gun were investigated and analyzed. Most of the fractures measured at outcrops are nearly vertical or steeply dipping. Orientations of fracture sets in terms of frequency order are as follows: Set $1:N2^{\circ}E/77^{\circ}SE$, Set $2:N17^{\circ}E/84^{\circ}NW$, Set $3:N26^{\circ}E/64^{\circ}SE$, Set $4:N86^{\circ}W/82^{\circ}SW$, Set $5:N80^{\circ}W/77^{\circ}NE$, Set $6:N60^{\circ}W/85^{\circ}SW$, Set $7:N73^{\circ}E/87^{\circ}NW$, Set $8:N82^{\circ}W/53^{\circ}NE$, Set $9:N23^{\circ}W/86^{\circ}SW$, Set 10: $N39^{\circ}W/61^{\circ}NE$. Especially, the rose diagram of fracture strikes(N:240) indicates that there are two dorminant directions of N-S~NNE and WNW. These distribution pattern of fractures from Seokmo-do correponds with those of major lineaments from South Korea suggested in previous study. Meanwhile, the scaling properties on the length distribution of fracture populations have been investigated. First, fracture sets from Precambrian Jangbong schist and Mesozoic granites(north and south rock body) has been classified into five groups(group I~V) based on strike and frequency. Then, the distribution chart generalized the individual length-cumulative frequency diagram for above five groups were made. From the related chart, five subpopulations(group I~V) that closely follow a power-law length distribution show a wide range in exponents(-0.79~-1.53). These relative differences in exponent among five groups emphasizes the importance of orientation effect. From the related chart, the diagram of group III occupies an upper region among five groups. Finally, the distribution chart showing the chracteristics of the length frequency distribution for each rock body were made. From the related chart, the diagram of each rock body shows an order of porphyritic biotite granite < hornblende granodiorite < medium-grained biotite granite(south rock body) < medium-grained biotite granite(north rock body) < Precambrian Jangbong schist. From the related chart, the diagram of more older rock body in the formation age tends to occupy an upper region. Especially, the diagram of Precambrian Jangbong schist occupies an upper region compared with the diagrams of Mesozoic granites. These distributional chracteristics suggests that coexistence of new fracture initiation and growing of existing fractures corresponding with stress field acted since the formation of rock body.

Effect of Maitland Mobilization and Kaltenborn-Evjenth Mobilization on the SLR Angle

  • An, Ho Jung;Kim, Hong Rae;Kim, Bo Kyung
    • Journal of International Academy of Physical Therapy Research
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    • v.7 no.2
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    • pp.1041-1045
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    • 2016
  • The aim of this study was to investigate the effect of Maitland mobilization and Kaltenborn-Evjenth mobilization on the SLR angle. Subjects randomly divided into Kaltenborn-Evjenth group(n=8) and Maitland group(n=7). The mean height, age, body weight was $176.00{\pm}5.10cm$, $22.75{\pm}1.83years$, $72.63{\pm}10.65kg$ respectively in Kaltenborn-Evjenth group. The mean height, age, body weight was $175.00{\pm}5.60cm$, $22.29{\pm}3.68years$, $78.00{\pm}12.36kg$ respectively in Maitland group. Hip joint accessary movements with Grade III or IV were applied depend on the patient's condition to the restricted direction for 1 minute each set, and performed 5 set in a Maitland group. Hip joint anteroposterior gliding with Grade III were applied 60 for 1 minutes each set, and performed 5 set in a Kaltenborn-Evjenth group. The angle of first pain was referred to as P1 and subjects were pointed out that they could not bend the knee anymore, then examiner measure SLR angle. The SLR was significantly increased in the Maitland group compared to the Kaltenborn-Evjenth group after intervention(p<.05). In a within group difference, SLR significantly increased in the both groups(p<.05). These results indicated that Maitland mobilization could be recommended the excellent technique to increase the hip flexion in patient with hip hypo-mobility.

The effect of Swd2's binding to Set1 on the dual functions of Swd2 in Saccharomyces cerevisiae (Saccharomyces cerevisiae의 Swd2와 Set1의 결합이 Swd2의 이중적인 기능에 미치는 영향)

  • Park, Shinae;Lee, Jung-Shin
    • Korean Journal of Microbiology
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    • v.53 no.4
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    • pp.286-291
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    • 2017
  • In eukaryotic cells, histone modification is an important mechanism to regulate the chromatin structure. The methylation of the fourth lysine on histone H3 (H3K4) by Set1 complex is one of the various well-known histone modifications. Set1 complex has seven subunits including Swd2, which is known to be important for H2B ubiquitination dependent on H3K4 methylation. Swd2 was reported to regulate Set1's methyltransferase activity by binding to near RNA recognition motif (RRM) domain of Set1 and to act as a component of CPF (Cleavage and Polyadenylation Factors) complex involved in RNA 3' end processing. According to the recent reports, two functions of Swd2 work independently of each other and the lethality of Swd2 knockout strain was known to be caused by its function as a component of CPF complex. In this study, we found that Swd2 could influence the Set1's stability as well as histone methyltransferase activity through the association with RRM domain of Set1. Also, we found that ${\Delta}swd2$ mutant bearing truncated-Set1, which cannot interact with Swd2, lost its lethality and grew normally. These results suggest that the dual functions of Swd2 in H3K4 methylation and RNA 3' end processing are not independent in Saccharomyces cerevisiae.

Cycloplatinated Complexes of Thiosemicarbazones. Synthesis and Crystal Structure of [$Ph_2PC_6H_4CHNNC(S)NHCH_3PtCl$]

  • 유동원;강상욱;고재정;최문근
    • Bulletin of the Korean Chemical Society
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    • v.18 no.3
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    • pp.305-310
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    • 1997
  • The synthesis and characterization of the platinum heterocyclic carboxaldehyde thiosemicarbazone complexes [NC5H4CRNNC(S)NHR'PtCl] (R=H, R'=CH3(1); R=CH3, R'=CH3(2); R=CH3, R=H(3)) and diphenylphosphinophenyl carboxaldehyde thiosemicarbazone complexes [Ph2PC6H4CHNNC(S)NHRPtCl] (R=CH3(5); R=iC3H7(6); R=Ph(7)) are described. Compounds 1-3 were prepared by reaction of Pt(SEt2)2Cl2 with 2-acetylpyridine-4-alkylthiosemicarbazone in the presence of NEt3. Compounds 5-7 were prepared using Pt(SEt2)2Cl2 in toluene with diphenylphosphinophenyl carboxaldehyde alkylthiosemicarbazone. The compounds have been characterized by microanalysis, NMR (1H, 13C, 31P) spectroscopy, and single-crystal X-ray diffraction. X-ray single crystal diffraction analysis reveals that compound 5 is a mononuclear platinum compound with P,N,S-coordination mode.

ON FARTHEST POINTS IN METRIC SPACES

  • Narang, T.D.
    • The Pure and Applied Mathematics
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    • v.9 no.1
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    • pp.1-7
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    • 2002
  • For A bounded subset G of a metric Space (X,d) and $\chi \in X$, let $f_{G}$ be the real-valued function on X defined by $f_{G}$($\chi$)=sup{$d (\chi, g)\in:G$}, and $F(G,\chi)$={$z \in X:sup_{g \in G}d(g,z)=sup_{g \in G}d(g,\chi)+d(\chi,z)$}. In this paper we discuss some properties of the map $f_G$ and of the set $ F(G, \chi)$ in convex metric spaces. A sufficient condition for an element of a convex metric space X to lie in $ F(G, \chi)$ is also given in this pope.

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Development of a Finishing-Mill Set Up Program for Calculating Pass Schedule In Mini Process (미니밀 마무리압연기의 Pass Schedule 설정 프로그램 개발)

  • 이호국;박해두;최갑춘
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1996.03a
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    • pp.101-109
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    • 1996
  • Mini-mill process which is one of the new steel -marking technologies to be able to produce the hot rolled coils by thin slab caster of ISP(In-Line Strip Production) type, will be completed in the Kwangyang Steel Works of POSCO in August, 1996, SEt-Up Model of finishing mill which consists of 5 stands is the most basic and essential in mini-mill plant. Therefore, the simulation program of Finishing-mill Set-Up model were developed in this research , using new temeprature prediction model, roll gap model and rolling physical model. Using the developed FSU program , pass schedules to produce the strips with target strip thickness of 1.8mm, 2.0mm, 2.3mm, 2.7mm an d3.0mm were also determined respectively.

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Nonparametric Test for Ordered Alternatives on Multiple Ranked-Set Samples

  • Kim, Dong HeeKim,;Hyung Gee;Park, Hae Kyung
    • Communications for Statistical Applications and Methods
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    • v.7 no.2
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    • pp.563-573
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    • 2000
  • In this thesis, we propose the test statistic for ordered alternatives on c-sample ranked set samples(RSS). The proposed test statistic JRSS is Jonckheere type statistic using the median of the i-th samples in each cycle. We obtained the asymptotic property of the proposed test statistic and the asymptotic relative efficiencies of the proposed test statistic with respect to J SRS which Jonckheere type statistic on simple random samples(SRS). From the simulation works, J RSS is superior to J SRS. We compared the empirical powers of J RSS with respect to U RSS on ranked set sample and U SRS on simple random sample using all samples, which are proposed by Kim, Kim and Lee(1999). The powers of J RSS are nearly the same values when entire sample size is large. J RSS is superior to U RSS. J RSS is simpler than U RSSon calculating process.

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A Working-set Sensitive Page Replacement Policy for PCM-based Swap Systems

  • Park, Yunjoo;Bahn, Hyokyung
    • JSTS:Journal of Semiconductor Technology and Science
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    • v.17 no.1
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    • pp.7-14
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    • 2017
  • Due to the recent advances in Phage-Change Memory (PCM) technologies, a new memory hierarchy of computer systems with PCM is expected to appear. In this paper, we present a new page replacement policy that adopts PCM as a high speed swap device. As PCM has limited write endurance, our goal is to minimize the amount of data written to PCM. To do so, we defer the eviction of dirty pages in proportion to their dirtiness. However, excessive preservation of dirty pages in memory may deteriorate the page fault rate, especially when the memory capacity is not enough to accommodate full working-set pages. Thus, our policy monitors the current working-set size of the system, and controls the deferring level of dirty pages not to degrade the system performances. Simulation experiments show that the proposed policy reduces the write traffic to PCM by 160% without performance degradations.

DOMINATION IN GRAPHS WITH MINIMUM DEGREE SIX

  • Jianxiang, Cao;Minyong, Shi;Sohn, Moo-Young;Xudong, Yuan
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1085-1100
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    • 2008
  • A set D of vertices of a graph G = (V(G),E(G)) is called a dominating set if every vertex of V(G) - D is adjacent to at least one element of D. The domination number of G, denoted by ${\gamma}(G)$, is the size of its smallest dominating set. Haynes et al.[5] present a conjecture: For any graph G with ${\delta}(G){\geq}k$,$\gamma(G){\leq}\frac{k}{3k-1}n$. When $k\;{\neq}\;6$, the conjecture was proved in [7], [8], [10], [12] and [13] respectively. In this paper we prove that every graph G on n vertices with ${\delta}(G)\;{\geq}\;6$ has a dominating set of order at most $\frac{6}{17}n$. Thus the conjecture was completely proved.

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