| 模糊优化问题的确定性方法 |
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| 引用本文： | 陈明浩. 模糊优化问题的确定性方法[J]. 黑龙江大学自然科学学报, 2007, 24(3): 310-315 |
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| 作者姓名： | 陈明浩 |
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| 作者单位： | 哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (10571035) |
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| 摘 要： | 讨论从赋范线性空间中的开集到一维模糊数集的模糊映射的微分.在研究模糊微分的领域中已有许多丰富的结果,如,Puri-Ralescu,Goestchel-Voxman,Dubois-Prade以及Furukawa等的有关结果.介绍了相应于Furukawa导数的模糊微分,并用确定性方法研究了基于Furukawa微分的一类模糊优化问题.
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| 关 键 词： | 模糊数的参数表示 方向微分 模糊优化问题 |
| 文章编号： | 1001-7011(2007)03-0310-06 |
| 修稿时间： | 2006-12-25 |
Deterministic approaches to fuzzy optimization problems |
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| CHEN Ming-hao. Deterministic approaches to fuzzy optimization problems[J]. Journal of Natural Science of Heilongjiang University, 2007, 24(3): 310-315 |
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| Authors: | CHEN Ming-hao |
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| Abstract: | The fuzzy differentials of fuzzy functions which map from open sets in normed spaces to sets of fuzzy sets are considered.In the field of studying fuzzy differentials,there are many fruitful results,i.e.,due to Puri and Ralescu,Goetschel and Voxman,Dubois and Prade,and Furukawa,etc.A kind of fuzzy differentials which are corresponding to the Furukawa's(see[7,8])derivatives is introduced and is applied a deterministic method to some fuzzy optimization problems. |
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| Keywords: | parametric representation of fuzzy numbers directional differential fuzzy optimization problems |
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