| 基于结构元理论的模糊多属性群决策 |
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| 引用本文： | 曾繁慧,曹俊. 基于结构元理论的模糊多属性群决策[J]. 科技导报(北京), 2011, 29(18): 57-61. DOI: 10.3981/j.issn.1000-7857.2011.18.008 |
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| 作者姓名： | 曾繁慧 曹俊 |
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| 作者单位： | 辽宁工程技术大学理学院, 辽宁阜新 123000 |
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| 基金项目： | 教育部高等学校博士学科点专项科研基金项目(20102121110002) |
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| 摘 要： | 将结构元理论引入到模糊多属性决策中，利用同序标准单调函数类与有界实模糊数同胚的性质，将模糊数的复杂运算转化为同序单调函数的运算，通过单调函数间的序关系描述模糊数之间的序关系，简化传统决策的复杂运算。将模糊结构元理论同经典的ELECTRE方法结合，用来解决模糊多属性群决策问题，克服了以往应用ELECTRE方法遇到模糊数难以排序或直接转化为确定系统的缺点，这种方法以结构元理伦为基础，运算简便，易于理解，对于进一步研究模糊多属性群决策问题有很好的参考作用。给出的实例验证了该方法的有效性和可行性。
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| 关 键 词： | 模糊多属性群决策 模糊结构元 ELECTRE方法 |
Fuzzy Multi-attribute Group Decision Making Based on Structured Element Theory |
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| ZENG Fanhui,CAO Jun College of Science,Liaoning Technical University,Fuxin ,Liaoning Province,China. Fuzzy Multi-attribute Group Decision Making Based on Structured Element Theory[J]. Science & Technology Review, 2011, 29(18): 57-61. DOI: 10.3981/j.issn.1000-7857.2011.18.008 |
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| Authors: | ZENG Fanhui CAO Jun College of Science Liaoning Technical University Fuxin Liaoning Province China |
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| Affiliation: | College of Science, Liaoning Technical University, Fuxin 123000, Liaoning Province, China |
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| Abstract: | In this paper, the structured element theory is introduced into the fuzzy multi-attribute decision making. The fuzzy number space and the family of standard bounded monotone functions have the homeomorphic property. Based on this feature, complex operations of fuzzy numbers are put into monotone functions with the same monotonic format. The order relation of monotone functions is used to describe that of fuzzy numbers. The aim is to simplify the complex operations of the traditional fuzzy decision making. T... |
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| Keywords: | multi-attribute group decision making fuzzy structured element ELECTRE method |
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