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模糊多属性决策的相似接近度解法
引用本文:吕大刚,王 力,张 鹏,王光远. 模糊多属性决策的相似接近度解法[J]. 控制与决策, 2004, 19(11): 1282-1285
作者姓名:吕大刚  王 力  张 鹏  王光远
作者单位:哈尔滨工业大学,土木工程学院,黑龙江,哈尔滨,150090;西南石油学院,建筑工程学院,四川,成都,610500
基金项目:国家自然科学基金"九五"重大项目(59895410),国家自然科学基金资助项目(50378030),黑龙江省自然科学基金资助项目(E00-01).
摘    要:首先对模糊集合的3种接近度测度,即海明距离、模糊贴近度和灰色关联度进行讨论,在此基础上提出了相似接近度的概念,运用模糊满意度的概念建立了模糊多属性决策的数学模型,其次将相似接近度的概念应用于该模型,提出了该模型的一个新的解法;最后通过数值算例表明,该方法不但十分有效,而且物理意义和数学意义明确,模糊贴近度、灰色关联度和相对接近度解法都是该方法的特例.

关 键 词:模糊多属性决策  相似接近度  海明距离  模糊贴近度  灰色关联度
文章编号:1001-0920(2004)11-1282-04
修稿时间:2004-01-01

On similar approach degree algorithm for fuzzy multiple attribute decision-making
LV Da-gang,WANG Li,ZHANG Peng,WANG Guang-yuan. On similar approach degree algorithm for fuzzy multiple attribute decision-making[J]. Control and Decision, 2004, 19(11): 1282-1285
Authors:LV Da-gang  WANG Li  ZHANG Peng  WANG Guang-yuan
Affiliation:LV Da-gang~1,WANG Li~1,ZHANG Peng~2,WANG Guang-yuan~1
Abstract:Fuzzy multiple attribute decision-making (FMADM) is a problem of multiple criteria decision making (MCDM) whose decision space is discrete considering the fuzzy information. Firstly, three kinds of measures of approach degree between two fuzzy sets are discussed, and then, a new concept named similar approach degree is put forward. A mathematical model of FMADM is built by means of fuzzy satisfaction degree. The concept of similar approach degree is applied in model, and then, a new algorithm for solving the model is proposed which is applied in the selection of the optimal scheme of large-span spatial structures. It is shown by a numerical example that this method is not only very efficient, but also clear both in mathematical meanings and in physical meanings. In fact, the algorithms of fuzzy nearness degree, grey association degree and relative approach degree all are the specific ones of the methodology proposed herein.
Keywords:fuzzy multiple attribute decision-making  simdilar approach degree  hamming distance  fuzzy nearness degree  grey association degree
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