| 一类Fuzzy正项几何规划问题的定理和解法 |
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| 引用本文： | 曹炳元.一类Fuzzy正项几何规划问题的定理和解法[J].电工标准与质量,1987(4). |
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| 作者姓名： | 曹炳元 |
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| 作者单位： | 湖南财经专科学校 |
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| 摘 要： | 本文首先在Fuzzy值集上建立了Fuzzy凸函数的概念,在此基础上研究了Fuzzy正项几何规划的有关性质。其次,运用Fuzzy不动点的理论,给出了可化为Fuzzy线性规划的Fuzzy正项几何规划的解法。同时,证明了Fuzzy线性规划的最优解即为Fuzzy正项几何规划的最优解。最后,改进了文献1]中Fuzzy线性规划算法的某些问题。
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| 关 键 词： | Fuzzy正项几何规划 最优解 定理和解法 |
THEORY AND SOLUTION OF THE PROBLEM OF A KIND OF FUZZY POSITIVE GEOMETRIC PROGRAMING (FPGP) |
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| Cao Bingyuan.THEORY AND SOLUTION OF THE PROBLEM OF A KIND OF FUZZY POSITIVE GEOMETRIC PROGRAMING (FPGP)[J].Journal of Changsha University of Electric Power(Natural Science Edition),1987(4). |
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| Authors: | Cao Bingyuan |
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| Affiliation: | Hunan Finance and Economy Academy |
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| Abstract: | This paper establishes the conceptions of Fuzzy convex function on the Fuzzy value set. The author accordingly studies some properties of the Fuzzy positive geometric programing(FPGP). Then by applying the theorem of fixed point he offers a solution for the FPGP which can be changed into Fuzzy linear programing(FLP), and at the same time, he proves that the FLP optimal solution is equal to the FPGP optimal solution. Lastly, some problems about the FLP algorithm have been revised in the paper1]. |
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| Keywords: | Fuzzy Positive Geometric Programingi optimal solution theorem and solution |
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