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基于灰云的改进白化模型及其在灰色决策中应用

Ablation model based on the improved gray cloud and its applicant in the gray decision

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【作者】 王洪利冯玉强

【Author】 WANG Hong-li, FENG Yu-qiang (School of Management, Harbin Institute of Technology, Harbin 150001,China)

【机构】 哈尔滨工业大学管理学院哈尔滨工业大学管理学院 黑龙江哈尔滨150001黑龙江哈尔滨150001

【摘要】 针对传统的灰色决策中白化函数在处理复杂决策问题时的缺点,研究了基于灰云的改进的白化模型及其决策应用。首先概述了传统的白化模型及其缺点,提出了一种集成灰性和随机性的灰云模型,给出了灰云数字特征和正态灰云模型生成方法;然后给出了替代传统的白化函数的基于灰云的灰数白化模型;最后给出了基于正态灰云的灰数白化模型在灰色聚类决策中的应用,并通过实例验证了该方法的有效性。

【Abstract】 In order to overcome the shortcoming of ablation function in dealing with the complex problem in classic gray decision, the improved ablation model based on the gray cloud and its applicant in the gray decision are studied. At first the classic ablation model and its shortcoming are given. Then the gray cloud model integrating gray with randomicity is proposed. The numerical character of gray cloud and the method of creating gray model with normal school and are given. Gray number ablation model based on gray cloud is used to replace of the classic ablation function. At last the applicant of ablation model of gray number based on the gray cloud with normal school in the gray clustering decision making is given. And an experiment is provided to estimate the validity of method.

【基金】 国家自然科学基金资助项目(70171011);黑龙江省第二批发展信息产业专项资金导向计划资助项目(2003118)
  • 【文献出处】 黑龙江大学自然科学学报 ,Journal of Natural Science of Heilongjiang University , 编辑部邮箱 ,2006年06期
  • 【分类号】C934
  • 【被引频次】61
  • 【下载频次】626
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