• Title/Summary/Keyword: Pairwise comparison

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부정확한 쌍대비교정보를 갖는 댜요소의사결정문제에서의 가중치 산출 (Deriving Weights in The Multiattribute Decision Making with Imprecise Pairwise Comparison)

  • 정병호;조권익
    • 한국경영과학회지
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    • 제19권2호
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    • pp.75-84
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    • 1994
  • The uncertainty in the relative weights of a pairwise comparison matrix n Multi-attribute Decision Making (MADM) is caused by imprecise preference information of decision maker. In this paper, it is shown how weight of attributes can be derived from the pairwise comparison matrix with interval pairwise comparison. The preference information of each pair of attributes with a point pairwise comparison is combined with an interval pairwise comparison in order to estimate a point pairwise comparison for a pair of attributes with the imprecise preference information. A numerical example shows the suggested procedure for deriving weights of attributes.

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Saaty의 일대비교행렬의 개념을 이용한 퍼지구조모델링법 (Fuzzy Structural Modeling Method Using the Concept of Saaty렬s Pairwise Comparison Matrix)

  • 황승국;주종문;박영화
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
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    • pp.186-193
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    • 1996
  • This paper presents a fuzzy structural modeling using the concept of Saaty's pairwise comparison matrix. The merit of this approach can be reduced the number of pairwise comparison.

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Methods of pairwise comparisons and fuzzy global criterion for multiobjective optimization in structural engineering

  • Shih, C.J.;Yu, K.C.
    • Structural Engineering and Mechanics
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    • 제6권1호
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    • pp.17-30
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    • 1998
  • The method of pairwise comparison inherently contains information of ambiguity, fuzziness and conflict in design goals for a multiobjective structural design. This paper applies the principle of paired comparison so that the vaguely formulated problem can be modified and a set of numerically acceptable weight would reflect the relatively important degree of multiple objectives. This paper also presents a fuzzy global criterion method ($FGCM_{\lambda}$) included fuzzy constraints that coupled with the objective weighting rank obtained from the modified pairwise comparisons for fuzzy multiobjective optimization problems. Descriptions in sequence of this combined method and problem solving experiences are given in the current article. Multiobjective design examples of truss and mechanical spring structures illustrate this optimization process containing the revising judgement techniques.

AHP에서 왜대칭행렬의 고유분해를 이용한 중요도 추정법의 제안 (An Estimating Method for Priority Vector in AHP, Using the Eigen-Decomposition of a Skew-Symmetric Matrix)

  • 이광진
    • 응용통계연구
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    • 제17권1호
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    • pp.119-134
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    • 2004
  • AHP기법에서는 의사결정 요소들의 중요도를 추정함에 있어 통상 쌍대비교행렬 그 자체에 고유벡터법 또는 대수최소제곱법을 적용한다. 본 연구에서는 왜대칭행렬의 고유분해를 통해 쌍대비교행렬을 조정한 후 조정된 쌍대비교행렬에 대해 고유벡터법 또는 대수최소제곱법을 적용하는 중요도 추정법을 제안한다. 그리고 이 추정법이 가지는 여러 가지 이점과 의미를 이론적 근거와 실제 사용 예를 통해 보이고자 한다. 본 연구결과는 불일치성이 높은 쌍대비교행렬이 주어진 경우 불일치성을 줄이는데 특히 유용하게 활용될 수 있을 것이다.

A Study for Obtaining Weights in Pairwise Comparison Matrix in AHP

  • Jeong, Hyeong-Chul;Lee, Jong-Chan;Jhun, Myoung-Shic
    • 응용통계연구
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    • 제25권3호
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    • pp.531-541
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    • 2012
  • In this study, we consider various methods to estimate the weights of a pairwise comparison matrix in the Analytic Hierarchy Process widely applied in various decision-making fields. This paper uses a data dependent simulation to evaluate the statistical accuracy, minimum violation and minimum norm of the obtaining weight methods from a reciprocal symmetric matrix. No method dominates others in all criteria. Least squares methods perform best in point of mean squared errors; however, the eigenvectors method has an advantage in the minimum norm.

합리적 쌍대비교행렬에서 일관성에 대한 새로운 기준 (New Criteria for the Consistency in Reasonable Pairwise Comparison Matrices)

  • 김재범;조용곤;김윤배;조근태
    • 대한산업공학회지
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    • 제36권1호
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    • pp.1-6
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    • 2010
  • The Analytic Hierarchy Process (AHP) has been applied widely in various decision making fields. One of advantages of the AHP is the consistency test. However, it has several problems such as the limit of its concept, the limit of 9 scales and stern criteria, contradictory pairwise comparison. In this paper, we propose new criteria for the consistency with more realistic and ideal conditions. To derive the criteria, we conduct the simulation and use the bootstrap method, which is one of resampling techniques in the simulation area.

쌍대비교에 기초한 다속성 효용함수의 결정 및 사출성형설계에 대한 응용 (Determination of a Multiattribute Utility Function Based on the Pairwise Comparison and the Application to Injection Molding Design)

  • 박종천;김경모
    • 소성∙가공
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    • 제12권5호
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    • pp.465-472
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    • 2003
  • Engineering design can be viewed as a decision making process, which involves the nonlinear tradeoffs task among the multiple conflicting attributes and considers the robustness of design. In order to obtain best engineering design, methodology for accurate assessment of his/her preference about the multiple attributes is required. Conventionally, intuitive procedures based on lottery questions are used to elicit the designer's preference structure: however, they can lead to inconsistent and inexact preference results due to the rank reversal problems derived from the designer's big cognitive burden. In this paper, alternatively, a design methodology based on multiattribute utility function through the pairwise comparison among alternatives is presented. The proposed procedure is applied to an actual injection mold design with the aid of the CAE simulation and the result is discussed.

연구개발 프로젝트 평가에 대한 의식구조분석 (Analysis of Consciousness Structure R&D Project Evaluation)

  • 김성희;김정자
    • 산업경영시스템학회지
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    • 제25권4호
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    • pp.61-68
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    • 2002
  • This paper provides a method of consciousness structure analysis for research and development project evaluation using fuzzy structure modeling(FSM). Fuzzy structure modeling, which is a modeling method for consciousness structure, has a large number of pairwise comparison by human subjective judgement and is difficult to check the consistency index of denoting the precision for human judgement. Thus, in this paper, we analyzed the structure of consciousness by fuzzy structural modeling method, introducing the concept of pairwise comparison matrix in Analytic Hierarchy Process.

Robustness for Pairwise Multiple Comparison Procedures with Trimmed Means under Violated Assumptions : Bonferroni, Shaffer, and Welsch Procedure

  • Kim, Hyun-Chul
    • Communications for Statistical Applications and Methods
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    • 제4권3호
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    • pp.775-785
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    • 1997
  • Robustness rates for repeated measures pairwise multiple comparison procedures were investigated in a split plot design with one between- and one within-subjects factor using untrimmed and trimmed data. Five factors were manipulated in the study: distribution, sphericity, variance-covariance heteroscedasticity, total sample size, and sample size ratio. The Welsch test (W) and the Welsch test on trimmed data $(W_{RT})$ performed better than the other procedures, but had a liberal tendency. The trimmed difference score Bonferroni Procedure $(B_{DT})$ was a good choice in some conditions.

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ASC를 이용한 품질특성의 중요도 결정 (Determining the Importance Values of Quality Attributes Using ASC)

  • 장흥엽;송해근;박영택
    • 품질경영학회지
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    • 제40권4호
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    • pp.589-598
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    • 2012
  • Purpose: Determination of the importance values of quality attributes is very important to integrate the Kano model with QFD. A new method to determine the importance values of quality attributes is proposed. Methods: ASC(Average Satisfaction Coefficient) is proposed in order to determine the importance values of quality attributes. To evaluate the effectiveness of ASC, a case study of modern TV sets is conducted, and the performance of ASC is compared with direct importance evaluation and AHP pairwise comparisons. Results: The result of ASC application is similar with those of direct importance evaluation and AHP pairwise comparison. Conclusion: ASC is an effective instrument to determine the importance values of quality attributes. It doesn't need a cumbersome process like AHP pairwise comparison, and can be calculated using the data for the conventional Kano model.