• Title/Summary/Keyword: rank functions

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On the Properties of OWA Operator Weighting Functions with Constant Value of Orness

  • Ahn, Byeong-Seok
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2005.10a
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    • pp.338-341
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    • 2005
  • In this paper, we present analytic forms of the ordered weighted averaging (OWA) operator weighting functions, each of which has properties of rank-based weights and a constant level of orness, irrespective of the number of objectives considered. These analytic forms provide significant advantages for generating OWA weights over previously reported methods. First, OWA weights can be efficiently generated by use of proposed weighting functions without solving a complicated mathematical program. Moreover, convex combinations of these specific OWA operators can be used to generate OWA operators with any predefined values of orness once specific values of orness are α priori stated by decision maker. Those weights have a property of constant level of orness as well. Finally, OWA weights generated at a predefined value of orness make almost no numerical difference with maximum entropy OWA weights in terms of dispersion.

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Molecular Dynamics Simulation Studies of a Model System for Liquid Crystals Consisting of Rodlike Molecules in NPT Ensemble

  • Lee, Chang Jun;Sim, Hun Gu;Kim, Un Chun;Lee, Song Hui;Park, Hyeong Suk
    • Bulletin of the Korean Chemical Society
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    • v.21 no.3
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    • pp.310-316
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    • 2000
  • Molecular dynamics simulation studies for thermotropic liquid crystalline systems conposed of rodlike molecules with 6 Lennard-Jones interaction sites wre performed in NPT ensemble. Within the range of temperature studied, the system exhibited isotropic and smectic phase. For the characterization of the smectic phase, we examined the structure of the liquid crystalline phase via the radial distribution function, its longitudinal and transverse components to the director, and other orientational correlation function, its longitudinal and transverse components to the director, and other orientational correlation functions. In the smectic A phase, our results showed a large anisotropy in translational motion (i.e.,$D_⊥ >> D_∥$), and the decay of the collective orientational correlation function of rank two became slower than that of the single particle orientational correlation function of rank one. Comments on the spontaneous growth of orientational order directly from the isotropic phase are given.

Changes of Western Men's Underclothes (서양 남성 속옷의 변천에 관한 고찰-고대에서 근세까지)

  • 김주애
    • Journal of the Korean Society of Clothing and Textiles
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    • v.24 no.3
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    • pp.353-360
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    • 2000
  • The purpose of study examined the changes of the man's underclothes from the ancient ages to the early modern ages. The method of study researched literatures and possessions of the museum. In ancient ages, a suit of clothes had the functions of both underclothes and outer garments. In middle ages, underclothes were not exposed and the importance was not recognized while they were worn to show the sense of sin and humility or to punish criminals. In early modern ages, the importance of underclothes recognized as they were exposed. In Renaissance period, the fashion of the day influenced much on the underclothes. In Baroque ages, the functions of underclothes were different according to sexes and men wore underclothes to show their social status. As the outer garments were shortned, shirt wwere also conspicuously exposed. In Rococo ages, drawers were tightened due to the influence of outer garments, men exposed their shirts to show the social status and underclohtes were usually worn to express sexual attraction. Men's underclothes had the functions of class distinction from the ancient ages to the modern ages, except the middle ages and underclothes had the additional functions such as supporting body-shape and sex attraction. The fashion of the day influenced on the changes of the shapes of the shapes of men's underclothes and the changes of outer garments were reflected on underclothes.

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The Ordered Weighted Averaging (OWA) Operator Weighting Functions with Constant Value of Orness and Application to the Multiple Criteria Decision Making Problems (순위가 있는 가중치 평균 방법에서 일정한 수준의 결합력을 갖는 가중치 함수의 성질 및 다기준의사결정 문제에의 활용)

  • Ahn, Byeong-Seok
    • Asia pacific journal of information systems
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    • v.16 no.1
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    • pp.85-101
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    • 2006
  • Actual type of aggregation performed by an ordered weighted averaging (OWA) operator heavily depends upon the weighting vector. A number of approaches have been suggested for obtaining the associated weights. In this paper, we present analytic forms of OWA operator weighting functions, each of which has such properties as rank-based weights and constant value of orness, irrespective of number of objectives aggregated. Specifically, we propose four analytic forms of OWA weighting functions that can be positioned at 0.25, 0.334, 0.667, and 0.75 on the orness scale. The merits for using these weights over other weighting schemes can be mentioned in a couple of ways. Firstiy, we can efficiently utilize the analytic forms of weighting functions without solving complicated mathematical programs once the degree of orness is specified a priori by decision maker. Secondly, combined with well-known OWA operator weights such as max, min, and average, any weighting vectors, having a desired value of orness and being independent of the number of objectives, can be generated. This can be accomplished by convex combinations of predetermined weighting functions having constant values of orness. Finally, in terms of a measure of dispersion, newly generated weighting vectors show just a few discrepancies with weights generated by maximum entropy OWA.

The Effects of Walking and Yoga Exercise on the Cognitive Functions in the Elderly Women (걷기와 요가가 포함된 복합운동이 여성노인의 인지기능에 미치는 영향)

  • Kim, Yong-Geon;Han, Dong-Wook;Lee, Byoung-Kwon
    • Journal of the Korean Society of Physical Medicine
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    • v.5 no.2
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    • pp.211-221
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    • 2010
  • Purpose : The purpose of this study is to find out the effects of combined exercise including walking and yoga on cognitive functions in the elderly women. Methods : Sixteen elderly women aged above 65 are invited in this study. Each subject participated in exercise three times a week for eight weeks from July 14th to September 13th in 2008. The changes between pre and post exercise are analyzed by Wilcoxon sign rank test and repeated ANOVA test with SPSS (ver 17.0) package program. Results : After exercise, In the below 23 points group, only interference STROOP test (p<.05) among sub items of Cognition Scale for Older Adults (CSOA) is improved significantly. In the above 24 points group, words memory (p<.05), delayed recall (p<.05), and picture naming (p<.05) among sub items of CSOA are improved significantly. But it is no different to the change patterns among two groups. Conclusion : These results show that combined exercise including walking and yoga is helpful to improve cognitive functions. And we find that exercise is helpful in the above 24 points elderly women more than in the below 23 points.

A Nonparametric Method for Nonlinear Regression Parameters

  • Kim, Hae-Kyung
    • Journal of the Korean Statistical Society
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    • v.18 no.1
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    • pp.46-61
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    • 1989
  • This paper is concerned with the development of a nonparametric procedure for the statistical inference about the nonlinear regression parameters. A confidence region and a hypothesis testing procedure based on a class of signed linear rank statistics are proposed and the asymptotic distributions of the test statistic both under the null hypothesis and under a sequence of local alternatives are investigated. Some desirable asymptotic properties including the asymptotic relative efficiency are discussed for various score functions.

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Development of Bridge Maintenance System (교량관리 전산화 시스템 개발)

  • 이장화;장종탁;김성욱;장인호;이성준
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1990.10a
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    • pp.105-110
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    • 1990
  • Effective maintenance system for national highway bridges has been requested due to increasing numbers of bridges. In this study, bridge data base is established in accordance with rating criteria for the structural conditions and functions of bridges. Maintenance system using PC-80386 hardware and ORACLE software is developed to rank the priority of either reconstruction or repairing of bridges and to provide with those information to bridge maintenance staff in order to perform bridge maintenance effectively. With this pre-establised data base and computerized maintenance system, data and information for planning of bridge construction could be obtained in times.

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TOWARDS UNIQUENESS OF MPR, THE MALVENUTO-POITIER-REUTENAUER HOPF ALGEBRA OF PERMUTATIONS

  • Hazewinkel, Michiel
    • Honam Mathematical Journal
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    • v.29 no.2
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    • pp.119-192
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    • 2007
  • A very important Hopf algebra is the graded Hopf algebra Symm of symmetric functions. It can be characterized as the unique graded positive selfdual Hopf algebra with orthonormal graded distinguished basis and just one primitive element from the distinguished basis. This result is due to Andrei Zelevinsky. A noncommutative graded Hopf algebra of this type cannot exist. But there is a most important positive graded Hopf algebra with distinguished basis that is noncommutative and that is twisted selfdual, the Malvenuto-Poirier-Reutenauer Hopf algebra of permutations. Thus the question arises whether there is a corresponding uniqueness theorem for MPR. This prepreprint records initial investigations in this direction and proves that uniquenees holds up to and including the degree 4 which has rank 24.

FUNCTIONS ATTAINING THE SUPREMUM AND ISOMORPHIC PROPERTIES OF A BANACH SPACE

  • D. Acosta, Maria ;Becerra Guerrero, Julio ;Ruiz Galan, Manuel
    • Journal of the Korean Mathematical Society
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    • v.41 no.1
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    • pp.21-38
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    • 2004
  • We prove that a Banach space that is convex-transitive and such that for some element u in the unit sphere, and for every subspace Μ containing u, it happens that the subset of norm attaining functionals on Μ is second Baire category in $M^{*}$ is, in fact, almost-transitive and superreflexive. We also obtain a characterization of finite-dimensional spaces in terms of functions that attain their supremum: a Banach space is finite-dimensional if, for every equivalent norm, every rank-one operator attains its numerical radius. Finally, we describe the subset of norm attaining functionals on a space isomorphic to $\ell$$_1$, where the norm is the restriction of a Luxembourg norm on $L_1$. In fact, the subset of norm attaining functionals for this norm coincides with the subset of norm attaining functionals for the usual norm.m.

Rank-based Formation for Multiple Robots in a Local Coordinate System (지역 좌표에서 랭크기반의 다개체 로봇 포메이션 제어)

  • Jung, Hahmin;Kim, Dong Hun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.25 no.1
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    • pp.42-47
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    • 2015
  • This paper presents a rank-based formation for multiple agents based on potential functions, where the proposed method uses the relative position of two neighboring agents. The conventional formation scheme of multiple systems requires communication between agents and a central computer to get the positions of all multiple agents. In the study, differently from previous studies, the formation scheme uses the relative position of two neighboring agents in a local coordinate system. In addition, it introduces a singular agent association that considers only the relative position between an agent and its neighboring agents, instead of multiple associations among all information about all agents. Furthermore, the proposed framework explores the benefits of different formation types. Extensive simulation results show that the proposed approach verifies the viability and effectiveness of the proposed formation.