| 一类模糊半定规划问题的解法 |
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| 引用本文： | 房亮. 一类模糊半定规划问题的解法[J]. 山东科技大学学报(自然科学版), 2007, 26(1): 94-95 |
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| 作者姓名： | 房亮 |
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| 作者单位： | 泰山学院,数学与系统科学系,山东,泰安,271021 |
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| 摘 要： | 由于内点法的发现和半定规划在控制论、组合优化、统计学等方面的重要应用,半定规划近几年来已成为优化中最活跃的领域。然而许多实际问题很难将它们的目标函数和约束函数精确地描述出来,因此有必要将模糊集理论应用到半定规划中来,进而通过求解模糊半定规划使问题得以解决。
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| 关 键 词： | 模糊半定规划 模糊集 隶属度函数 |
| 文章编号： | 1672-3767（2007）01-0094-02 |
| 收稿时间： | 2005-11-06 |
| 修稿时间： | 2005-11-06 |
An Algorithm for a Class of Fuzzy Semi-definite Programming Problem |
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| FANG Liang. An Algorithm for a Class of Fuzzy Semi-definite Programming Problem[J]. Journal of Shandong Univ of Sci and Technol: Nat Sci, 2007, 26(1): 94-95 |
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| Authors: | FANG Liang |
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| Affiliation: | Dept. of Mathematics and System Sciences, Taishan College, Taian, Shandong 271021, China |
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| Abstract: | Because of the discovery of interior-point methods and the important application of semi-definite programming in cybernetics,combinatorial optimization,statistics,etc.,semi-definite programming has been the most active one in optimization areas in recent years.Nevertheless,it is hard to accurately describe the objective function and constraints of many practical problems,therefore,it is necessary to introduce fuzzy set theory into semi-definite programming,then proceed to obtain the optimal solution of the problem by solving fuzzy semi-definite programming. |
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| Keywords: | fuzzy semi-definite programming fuzzy set membership function |
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