• Title/Summary/Keyword: pairwise comparison matrix

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

  • 정병호;조권익
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.2
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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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An Estimating Method for Priority Vector in AHP, Using the Eigen-Decomposition of a Skew-Symmetric Matrix (AHP에서 왜대칭행렬의 고유분해를 이용한 중요도 추정법의 제안)

  • 이광진
    • The Korean Journal of Applied Statistics
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    • v.17 no.1
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    • pp.119-134
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    • 2004
  • Generally to estimate the priority vector in AHP, an eigen-vector method or a log-arithmic least square method is applied to pairwise comparison matrix itself. In this paper an estimating method is suggested, which is applied to pairwise comparison matrix adjusted by using the eigen-decomposition of skew-symmetric matrix. We also show theoretical background, meanings, and several advantages of this method by example. This method may be useful in case that pairwise comparison matrix is quite inconsistent.

A Study for Obtaining Weights in Pairwise Comparison Matrix in AHP

  • Jeong, Hyeong-Chul;Lee, Jong-Chan;Jhun, Myoung-Shic
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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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.

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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    • v.6 no.1
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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.

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

  • 김성희;김정자
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.25 no.4
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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.

On Estimation of Weights for Elementary Mathematics Achievement Factors by Using AHP (AHP를 이용한 대학수학 성취도 요인의 중요도 추정)

  • Ham, Hyung-Bum
    • Journal for History of Mathematics
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    • v.20 no.3
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    • pp.91-104
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    • 2007
  • In this paper we study the method to estimate weights of the elementary mathematics achievement factors to get reference index which improves elementary mathematics teaching. For it, we discuss not only a synopsis of AHP but also write out pairwise comparison matrix through statistical survey and estimate weights by eigenvector method.

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A Study of Computational Literature Analysis based Classification for a Pairwise Comparison by Contents Similarity in a section of Tokkijeon, 'Fish Tribe Conference' (컴퓨터 문헌 분석 기반의 토끼전 '어족회의' 대목 내용 유사도에 따른 이본 계통 분류 연구)

  • Kim, Dong-Keon;Jeong, Hwa-Young
    • The Journal of the Korea Contents Association
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    • v.22 no.5
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    • pp.15-25
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    • 2022
  • This study aims to identify the family and lineage of a part of a "Fish Tribe Conference" in the section Tokkijeon by utilizing computer literature analysis techniques. First of all, we encode the classification for a pairwise comparison's type of each paragraph to build a corpus, and based on this, we use the Hamming distance to calculate the distance matrix between each classification for a pairwise comparison's. We visualized classification for a pairwise comparison's clustering pattern by applying multidimensional scale method, and hierarchical clustering to explore the characteristics of the 'fish family' line and lineage compared to the existing cluster analysis study on entire paragraphs of "Tokkijeon". As a result, unlike the cluster analysis of the entire paragraph of "Tokkijeon", which consists of six categories, the "Fish Tribe Conference" section has five categories and some classification for a pairwise comparison's accesses. The results of this study are that the relative distance between Yibon was measured and systematic classification was performed in an objective and empirical way by calculation, and the characteristics of the line of the fish family were revealed compared to the analysis of the entire rabbit exhibition.

Performance Analysis of Smart Automatic Jack-Up System Using the Pairwise Comparison Matrix Analysis Method (쌍대비교행렬 분석 기법을 적용한 스마트 자동 인상 시스템의 성능 분석)

  • Kim, Sung-Jo;Ji, Yongsoo;Kim, Bongsik;Han, Tong-Seok
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.35 no.1
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    • pp.9-14
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    • 2022
  • In this study, a smart jack-up system was developed to prevent safety accidents by performing risk analysis when a structure is lifted for maintenance. A quantitative risk analysis program that can analyze the risk using the pairwise comparison matrix analysis method was developed. The risk was analyzed in real-time for the lifting structure by connecting the program with an automatic jack-up system. Displacements were measured by the IR sensor among the components of the automatic jack-up system, and the displacements were provided to the quantitative risk analysis program. To confirm the performance of the smart automatic jack-up system, experiments were conducted on bridge and risk analysis was performed when a superstructure was lifted. A linear variable differential transformer (LVDT) was also installed on the bridge to verify the performance of the smart automatic jack-up system. The maximum displacements were measured using the devices, and the declinations were compared. The performance of the simultaneous operation of the jack-up device was verified by the analysis of variance (ANOVA).

Application of Analytical Hierarchy Process in Strategy Priority Decision-making for Brand Communication by Korean Restaurants Overseas (계층분석과정(AHP)을 이용한 해외 한식당 브랜드 커뮤니케이션 전략의 우선순위 결정)

  • Cha, Sung-Mi;Yang, Il-Sun;Baek, Seung-Hee;Kim, Yoon-Ji;Jeong, Jin-Yi
    • Journal of the Korean Society of Food Culture
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    • v.27 no.3
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    • pp.274-284
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    • 2012
  • This study presents the Analytical Hierarchy Process (AHP) as a potential decision-making method for obtaining the relative weights of alternatives through pairwise comparison in the context of hierarchical structure. The aim of this study was to elicit prior strategies for brand communication for Korean restaurants overseas. We created a questionnaire and surveyed experts at government agencies, restaurant companies, and universities from October to November 2011. By applying the pairwise comparison matrix, relevance was perceived as a more important strategy evaluation criteria than effectiveness or urgency. The highest-ranked strategy was the 'Identification of the BI and positioning of Korean restaurants' followed by 'Development of Korean food content for overseas promotion', 'Development of locally customized Korean food recipes and new Korean menus', 'Development of marketing communication strategies for Korean restaurants by countries', and 'Development of Korean restaurant differentiation strategies'. The results of this study can be used for effective Korean food globalization by enhancing the competitiveness in the world market.