• Title/Summary/Keyword: Multiple Matrix

검색결과 909건 처리시간 0.07초

Evaluation criterion for different methods of multiple-attribute group decision making with interval-valued intuitionistic fuzzy information

  • Qiu, Junda;Li, Lei
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제12권7호
    • /
    • pp.3128-3149
    • /
    • 2018
  • A number of effective methods for multiple-attribute group decision making (MAGDM) with interval-valued intuitionistic fuzzy numbers (IVIFNs) have been proposed in recent years. However, the different methods frequently yield different, even sometimes contradictory, results for the same problem. In this paper a novel criterion to determine the advantages and disadvantages of different methods is proposed. First, the decision-making process is divided into three parts: translation of experts' preferences, aggregation of experts' opinions, and comparison of the alternatives. Experts' preferences aggregation is considered the core step, and the quality of the collective matrix is considered the most important evaluation index for the aggregation methods. Then, methods to calculate the similarity measure, correlation, correlation coefficient, and energy of the intuitionistic fuzzy matrices are proposed, which are employed to evaluate the collective matrix. Thus, the optimal method can be selected by comparing the collective matrices when all the methods yield different results. Finally, a novel approach for aggregating experts' preferences with IVIFN is presented. In this approach, experts' preferences are mapped as points into two-dimensional planes, with the plant growth simulation algorithm (PGSA) being employed to calculate the optimal rally points, which are inversely mapped to IVIFNs to establish the collective matrix. In the study, four different methods are used to address one example problem to illustrate the feasibility and effectiveness of the proposed approach.

$ZTA-Al_2O_3$ Whisker계 복합재료의 미세구조 변화에 따른 열적, 기계적 특성에 관한 연구 (Thermo-mechanical Properties and Microstructures of $ZTA-Al_2O_3$ Whisker Composites)

  • 이문환;최성철;이응상
    • 한국세라믹학회지
    • /
    • 제30권6호
    • /
    • pp.457-468
    • /
    • 1993
  • In oxide matrix-SiC(W) composites, instability and glassy phase formation due to oxidation at the high temperature and the diffusion of Si, respectively, cause brittle fracture and low reliability for ceramic materials. The mode of contribution in each mechanisms induced by matrix-whisker debonding, varies with the morphology of matrix-whisker interfaces. This work has described the dispersion behaviours and stabilization mechanisms in slip systems, and multiple toughening mechanisms by dint of two second phase different from each other when spherical ZrO2 and chemically stable Al2O3(W) is respectively added in Al2O3 matrix. To obtain complexshaped components, slip casted bodies were sintered at 1$600^{\circ}C$, 2hrs up to 98~99% R.D.. Multiple toughening mechanisms in comparison with theories reported until now will be discussed as a result of the phase analysis of ZrO2 by athermal behaviours and microstructural characterizations as well as measured mechanical properties.

  • PDF

Quasi-Orthogonal Space-Time Block Codes Designs Based on Jacket Transform

  • Song, Wei;Lee, Moon-Ho;Matalgah, Mustafa M.;Guo, Ying
    • Journal of Communications and Networks
    • /
    • 제12권3호
    • /
    • pp.240-245
    • /
    • 2010
  • Jacket matrices, motivated by the complex Hadamard matrix, have played important roles in signal processing, communications, image compression, cryptography, etc. In this paper, we suggest a novel approach to design a simple class of space-time block codes (STBCs) to reduce its peak-to-average power ratio. The proposed code provides coding gain due to the characteristics of the complex Hadamard matrix, which is a special case of Jacket matrices. Also, it can achieve full rate and full diversity with the simple decoding. Simulations show the good performance of the proposed codes in terms of symbol error rate. For generality, a kind of quasi-orthogonal STBC may be similarly designed with the improved performance.

Estimation of high-dimensional sparse cross correlation matrix

  • Yin, Cao;Kwangok, Seo;Soohyun, Ahn;Johan, Lim
    • Communications for Statistical Applications and Methods
    • /
    • 제29권6호
    • /
    • pp.655-664
    • /
    • 2022
  • On the motivation by an integrative study of multi-omics data, we are interested in estimating the structure of the sparse cross correlation matrix of two high-dimensional random vectors. We rewrite the problem as a multiple testing problem and propose a new method to estimate the sparse structure of the cross correlation matrix. To do so, we test the correlation coefficients simultaneously and threshold the correlation coefficients by controlling FRD at a predetermined level α. Further, we apply the proposed method and an alternative adaptive thresholding procedure by Cai and Liu (2016) to the integrative analysis of the protein expression data (X) and the mRNA expression data (Y) in TCGA breast cancer cohort. By varying the FDR level α, we show that the new procedure is consistently more efficient in estimating the sparse structure of cross correlation matrix than the alternative one.

FORWARD ORDER LAW FOR THE GENERALIZED INVERSES OF MULTIPLE MATRIX PRODUCT

  • Xiong, Zhipin;Zheng, Bing
    • Journal of applied mathematics & informatics
    • /
    • 제25권1_2호
    • /
    • pp.415-424
    • /
    • 2007
  • The generalized inverses have many important applications in the aspects of theoretic research and numerical computations and therefore they were studied by many authors. In this paper we get some necessary and sufficient conditions of the forward order law for {1}-inverse of multiple matrices products $A\;=\;A_1A_2{\cdots}A_n$ by using the maximal rank of generalized Schur complement.

다변수 시스템의 자기동조제어 (Self-Tuning Control of Multivariable System)

  • 이동철
    • 동력기계공학회지
    • /
    • 제3권4호
    • /
    • pp.69-78
    • /
    • 1999
  • In the single-input and single-output system, the parameter of plant is scalar polynomial, but in the multiple input and multiple output, it accompanies, being matrix polynomial, the consideration of observable controlability index or problems non-commutation in matrix polynomial as well as degree, and it is more complex to deal with. Therefore, it is thought that a full research on the single-input and single-output system is not sufficient. This paper proposes that problems of minimum variance self-tuning regulator by using numerical calculation example of multivariable system and pole assignment self-tuning regulator.

  • PDF

Analysis of Integral Imaging with Multiple Birefringence Lens Arrays Using Jones Matrix

  • Xu, Kai;Hwang, Yong-Seok;Lee, Sang-Shin
    • 한국광학회:학술대회논문집
    • /
    • 한국광학회 2009년도 창립 20주년기념 특별학술발표회
    • /
    • pp.274-275
    • /
    • 2009
  • An integral imaging system resorting to multiple birefringence lens arrays using Jones Matrix was analyzed and implemented. Each birefringence lens array was produced by placing a liquid crystal layer on a conventional lens array. Its depth of field was proved to be extended theoretically.

  • PDF

Hardware architecture of a wavelet based multiple line addressing driving system for passive matrix displays

  • Lam, San;Smet, Herbert De
    • 한국정보디스플레이학회:학술대회논문집
    • /
    • 한국정보디스플레이학회 2007년도 7th International Meeting on Information Display 제7권1호
    • /
    • pp.802-805
    • /
    • 2007
  • A hardware architecture is presented of a wavelet based multiple line addressing driving scheme for passive matrix displays using the FPGA (Field Programmable Gate Arrays), which will be integrated in the scalable video coding $architecture^{[1]}$. The incoming compressed video data stream will then directly be transformed to the required column voltages by the hardware architecture without the need of employing the video decompression.

  • PDF

다수의 탄성지지대 위를 축방향으로 이동하는 보 구조물의 동특성 해석 (Dynamic Characteristics of the Beam Axially Moving over Multiple Elastic Supports)

  • 김태형;이우식
    • 한국철도학회:학술대회논문집
    • /
    • 한국철도학회 2002년도 추계학술대회 논문집(I)
    • /
    • pp.125-130
    • /
    • 2002
  • This paper investigates the dynamic characteristics of a beam axially moving over multiple elastic supports. The spectral element matrix is derived first for the axially moving beam element and then it is used to formulate the spectral element matrix for the moving beam element with an interim elastic support. The moving speed dependance of the eigenvalues is numerically investigated by varying the applied axial tension and the stiffness of the elastic supports. Numerical results show that the fundamental eigenvalue vanishes first at the critical moving speed to generate the static instability.

  • PDF

New Analysis Method for Wireless Power Transfer System with Multiple n Resonators

  • Kim, Ju-Hui;Park, Byung-Chul;Lee, Jeong-Hae
    • Journal of electromagnetic engineering and science
    • /
    • 제13권3호
    • /
    • pp.173-177
    • /
    • 2013
  • This paper presents a new method for analyzing the maximum efficiency of a wireless power transfer (WPT) system with multiple n resonators. The method is based on ABCD matrices and allows transformation of the WPT system with multiple n resonators into a single two-port network system. The general maximum efficiency equation of a WPT system with multiple n resonators is derived using the ABCD matrix. Use of this equation allows placement of the relay resonators for maximum efficiency even though they are asymmetrical. The general maximum efficiency equation and the method of the optimum placement are verified by a full wave simulation. The results show that the method is useful for the analysis of a WPT system with relay resonators.