政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/54050
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    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/54050


    Title: 解線性模糊等式系統的數值方法
    Other Titles: Numerical Methods for Solving Fuzzy System of Linear Equations
    Authors: 劉明郎
    Contributors: 國立政治大學應用數學學系
    行政院國家科學委員會
    Keywords: 疊代方法;模糊線性等式系統;反矩陣對稱完全模糊線性系統;近似乘法;非奇異矩陣;目標線性規畫
    Iteration methods;Fuzzy system of linear equations;Inverse matrices Symmetric fully fuzzy linear systems;approximate multiplication;nonsingular matrix;goal linear programming
    Date: 2009
    Issue Date: 2012-10-24 16:13:57 (UTC+8)
    Abstract: 第一年：本計畫研究如何求模糊線性系統(FSLE)的解，在此計畫中我們將導出係數矩陣非奇異性的條件，我們將研發以疊代式求FSLE的數值解法。最後為了方便比較，我們採用文獻中出現的例子測試我們的數值方法。第二年：在第二年我們將研究如何求對稱完全模糊線性系統(SFFLE)的解，我們將提出SFFLE的解的定義並導出SFFLE唯一存在一組解的條件。最後將研究以目標線性規畫求SFFLE的解的模型，我們將採用文獻上的範例測試我們所求的數值解。
    First Year: This project investigates the solution of fuzzy system of linear equations (FSLE). In this project we will derive the conditions for the singularity of the coefficient matrix. We will develop an iteration method for finding the solution of FSLE. The numerical results will be conducted for some problems which are cited from literature for compare purpose. Second Year: In the second year, we will investigate the solution of symmetric fully fuzzy linear systems (SFFLS). We will propose a definition for the solution of SFFLE and derive the conditions for the existence of a unique solution of a SFFLE. Finally, a goal programming model will be developed for calculating the solution of SFFLE. The numerical results will be carried with the examples cited from the literature.
    Relation: 基礎研究
    學術補助
    研究期間:9808~ 9907
    研究經費:310仟元
    Data Type: report
    Appears in Collections:[Department of Mathematical Sciences] NSC Projects

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