• 제목/요약/키워드: Dominance Function

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Relative Risk Aversion and Stochastic-Statistical Dominance (상대적(相對的) 위험(危險)과 추계적(推計的)-통계적(統計的) 우세법칙(優勢法則))

  • Lee, Dae-Joo
    • Journal of Korean Institute of Industrial Engineers
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    • 제15권2호
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    • pp.33-44
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    • 1989
  • This paper presents stochastic-statistical dominance rules which eliminate dominated alternatives thereby reduce the number of satisficing alternatives to a manageable size so that the decision maker can choose the best alternative among them when neither the utility function nor the probability distribution of outcomes is exactly known. Specifically, it is assumed that only the characteristics of the utility function and the value function are known. Also, it is assumed that prior probabilities of the mutually exclusive states of nature are not known, but their relative bounds are known. First, the notion of relative risk aversion is used to describe the decision maker's attitude toward risk, which is defined with the acknowledgement that the utility function of the decision maker is a composite function of a cardinal value function and a utility function with-respect to the value function. Then, stochastic-statistical dominance rules are developed to screen out dominated alternatives according to the decision maker's attitude toward risk represented in the form of the measure of relative risk aversion.

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An Efficient Algorithm to Find Portfolio Weights for the First Degree Stochastic Dominance with Maximum Expected Return (1차 확률적 지배를 하는 최대수익 포트폴리오 가중치의 탐색에 관한 연구)

  • Ryu, Choon-Ho
    • Journal of the Korean Operations Research and Management Science Society
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    • 제34권4호
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    • pp.153-163
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    • 2009
  • Unlike the mean-variance approach, the stochastic dominance approach is to form a portfolio that stochastically dominates a predetermined benchmark portfolio such as KOSPI. This study is to search a set of portfolio weights for the first-order stochastic dominance with maximum expected return by managing the constraint set and the objective function separately. A nonlinear programming algorithm was developed and tested with promising results against Korean stock market data sets.

Mathematical Programming Models for Establishing Dominance with Hierarchically Structured Attribute Tree (계층구조의 속성을 가지는 의사결정 문제의 선호순위도출을 위한 수리계획모형)

  • Han, Chang-Hee
    • Journal of the military operations research society of Korea
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    • 제28권2호
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    • pp.34-55
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    • 2002
  • This paper deals with the multiple attribute decision making problem when a decision maker incompletely articulates his/her preferences about the attribute weight and alternative value. Furthermore, we consider the attribute tree which is structured hierarchically. Techniques for establishing dominance with linear partial information are proposed in a hierarchically structured attribute tree. The linear additive value function under certainty is used in the model. The incompletely specified information constructs a feasible region of linear constraints and therefore the pairwise dominance relationship between alternatives leads to intractable non-linear programming. Hence, we propose solution techniques to handle this difficulty. Also, to handle the tree structure, we break down the attribute tree into sub-trees. Due to there cursive structure of the solution technique, the optimization results from sub-trees can be utilized in computing the value interval on the topmost attribute. The value intervals computed by the proposed solution techniques can be used to establishing the pairwise dominance relation between alternatives. In this paper, pairwise dominance relation will be represented as strict dominance and weak dominance, which ware already defined in earlier researches.

Optimizing Portfolio Weights for the First Degree Stochastic Dominance with Maximum Utility (1차 확률적 지배를 하는 최대효용 포트폴리오 가중치의 탐색에 관한 연구)

  • Ryu, Choonho
    • Journal of the Korean Operations Research and Management Science Society
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    • 제39권1호
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    • pp.113-127
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    • 2014
  • The stochastic dominance approach is to form a portfolio that stochastically dominates a predetermined benchmark portfolio such as KOSPI. This study is to search a set of portfolio weights for the first-order stochastic dominance with maximum utility defined in terms of mean and variance by managing the constraint set and the objective function in an iterative manner. A nonlinear programming algorithm was developed and tested with promising results against Korean stock market data sets.

Optimizing Portfolio Weights for the First Degree Stochastic Dominance with Maximum Expected Return (1차 확률적 지배를 하는 최대수익 포트폴리오 가중치의 탐색에 관한 연구)

  • Ryu, Choon-Ho
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 한국경영과학회 2007년도 추계학술대회 및 정기총회
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    • pp.134-137
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    • 2007
  • Unlike the mean-variance approach, the stochastic dominance approach is to form a portfolio that stochastically dominates a predetermined benchmark portfolio such as KOSPI. This study is to search a set of portfolio weights for the first degree stochastic dominance with maximum expected return by managing the constraint set and the objective function separately. An algorithm was developed and tested with promising results against Korean stock market data sets.

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An Algorithm to Optimize Portfolio Weights for the First Degree Stochastic Dominance (1차 확률적 지배를 하는 포트폴리오 가중치의 탐색에 관한 연구)

  • 류춘호
    • Journal of the Korean Operations Research and Management Science Society
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    • 제28권1호
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    • pp.25-36
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    • 2003
  • Unlike the mean-variance approach, the stochastic dominance approach Is to form a portfolio that first-degree stochastically dominates a predetermined benchmark portfolio, e.g. KOSPI. Analytically defining the first derivative of the objective function, an optimal algorithm of nonlinear programming was developed to search a set of optimal weights systematically and tested with promising results against veal data sets from Korean stock market.

Multiattribute Stochastic Statistical Dominance in Decision Making with Incomplete Information (불완전한 정보하의 의사결정하에서의 아중요인 추계적-통계적 우세법칙)

  • 이대주
    • Journal of the Korean Operations Research and Management Science Society
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    • 제18권2호
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    • pp.45-55
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    • 1993
  • In multiattribute decision making a decision maker (DM) can choose the best alternative if his/her multiattribute utility function and the joint probability distribution of outcomes are exactly known. This paper develops multiattribute stochastic-statistical dominance rules which can be applied to the situation when neither of them is known exactly, that is, when the DM cannot calculate the expected utility for each alternative. First, the notion of relative risk aversion is used dominance rules are developed to screen out dominated alternatives so that hi/she choose the best one among the remaining nondominated alternatives.

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Implementation of Text-to-Audio Visual Speech Synthesis Using Key Frames of Face Images (키프레임 얼굴영상을 이용한 시청각음성합성 시스템 구현)

  • Kim MyoungGon;Kim JinYoung;Baek SeongJoon
    • MALSORI
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    • 제43호
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    • pp.73-88
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    • 2002
  • In this paper, for natural facial synthesis, lip-synch algorithm based on key-frame method using RBF(radial bases function) is presented. For lips synthesizing, we make viseme range parameters from phoneme and its duration information that come out from the text-to-speech(TTS) system. And we extract viseme information from Av DB that coincides in each phoneme. We apply dominance function to reflect coarticulation phenomenon, and apply bilinear interpolation to reduce calculation time. At the next time lip-synch is performed by playing the synthesized images obtained by interpolation between each phonemes and the speech sound of TTS.

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Coarticulation Model of Hangul Visual speedh for Lip Animation (입술 애니메이션을 위한 한글 발음의 동시조음 모델)

  • Gong, Gwang-Sik;Kim, Chang-Heon
    • Journal of KIISE:Computer Systems and Theory
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    • 제26권9호
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    • pp.1031-1041
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    • 1999
  • 기존의 한글에 대한 입술 애니메이션 방법은 음소의 입모양을 몇 개의 입모양으로 정의하고 이들을 보간하여 입술을 애니메이션하였다. 하지만 발음하는 동안의 실제 입술 움직임은 선형함수나 단순한 비선형함수가 아니기 때문에 보간방법에 의해 중간 움직임을 생성하는 방법으로는 음소의 입술 움직임을 효과적으로 생성할 수 없다. 또 이 방법은 동시조음도 고려하지 않아 음소들간에 변화하는 입술 움직임도 표현할 수 없었다. 본 논문에서는 동시조음을 고려하여 한글을 자연스럽게 발음하는 입술 애니메이션 방법을 제안한다. 비디오 카메라로 발음하는 동안의 음소의 움직임들을 측정하고 입술 움직임 제어 파라미터들을 추출한다. 각각의 제어 파라미터들은 L fqvist의 스피치 생성 제스처 이론(speech production gesture theory)을 이용하여 실제 음소의 입술 움직임에 근사한 움직임인 지배함수(dominance function)들로 정의되고 입술 움직임을 애니메이션할 때 사용된다. 또, 각 지배함수들은 혼합함수(blending function)와 반음절에 의한 한글 합성 규칙을 사용하여 결합하고 동시조음이 적용된 한글을 발음하게 된다. 따라서 스피치 생성 제스처 이론을 이용하여 입술 움직임 모델을 구현한 방법은 기존의 보간에 의해 중간 움직임을 생성한 방법보다 실제 움직임에 근사한 움직임을 생성하고 동시조음도 고려한 움직임을 보여준다.Abstract The existing lip animation method of Hangul classifies the shape of lips with a few shapes and implements the lip animation with interpolating them. However it doesn't represent natural lip animation because the function of the real motion of lips, during articulation, isn't linear or simple non-linear function. It doesn't also represent the motion of lips varying among phonemes because it doesn't consider coarticulation. In this paper we present a new coarticulation model for the natural lip animation of Hangul. Using two video cameras, we film the speaker's lips and extract the lip control parameters. Each lip control parameter is defined as dominance function by using L fqvist's speech production gesture theory. This dominance function approximates to the real lip animation of a phoneme during articulation of one and is used when lip animation is implemented. Each dominance function combines into blending function by using Hangul composition rule based on demi-syllable. Then the lip animation of our coarticulation model represents natural motion of lips. Therefore our coarticulation model approximates to real lip motion rather than the existing model and represents the natural lip motion considered coarticulation.

Job Sequencing Problem for Three-Machine Flow Shop with Fuzzy Processing Times

  • Park, Seunghun;Chang, Inseong;Gen, Mitsuo
    • Journal of the Korean Operations Research and Management Science Society
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    • 제18권1호
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    • pp.139-157
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    • 1993
  • This paper presents possibilistic job scheduling based on the membership function as an alternative to probabilistic job scheduling and illustrates a methodology for solving job sequencing problem which the opinions of experts greatly disagree in each processing time. Triangular fuzzy numbers are used to represent the processing times of experts. Here, the comparison method is based on the dominance property. The criteria for dominance are presented. By the dominance criteria, for each job, a mojor TFN and a minor TFN are selected and apessimistic sequence with mojor TFNs and an optimistic sequence with minor TFNs are computed. The three-machine flow shop problem is considered as an example to illustrate the approach.

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