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| 直觉梯形模糊数MADM问题的灰色关联分析法 | |
| 引用本文： | 张市芳,刘三阳,翟任何.直觉梯形模糊数MADM问题的灰色关联分析法[J].计算机科学,2010,37(11):214-216. |
| 作者姓名： | 张市芳 刘三阳 翟任何 |
| 作者单位： | 1. 西安电子科技大学计算机学院,西安,710071 2. 西安电子科技大学理学院,西安,710071 3. 陕西理工学院机械工程学院,汉中,723003 |
| 基金项目： | 本文受国家自然科学基金项目(60974082)，陕西省自然科学基础研究计划项目(ST08A10)资助。 |
| 摘 要： | 针对属性权重信息完全已知且属性值以直觉梯形模糊数形式给出的多属性决策问题，提出了一种灰色关联分析方法。首先给出了直觉梯形模糊数的定义、距离和性质，然后依据传统的灰色关联分析法的基本思想建立了直觉梯形模糊数多属性决策问题的决策步骤。最后给出了一个实例分析，其结果表明了该方法的实用性和有效性。 |
| 关 键 词： | 灰色关联分析，多属性决策，直觉梯形模糊数，Hamming距离 |
| 收稿时间： | 2009/12/23 0:00:00 |
| 修稿时间： | 3/8/2010 12:00:00 AM |
Method of Grey Relational Analysis for MADM Problem with Intuitionistic Trapezoidal Fuzzy Numbers |
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| ZHANG Shi-fang,LIU San-yang,ZHAI Ren-he.Method of Grey Relational Analysis for MADM Problem with Intuitionistic Trapezoidal Fuzzy Numbers[J].Computer Science,2010,37(11):214-216. | |
| Authors: | ZHANG Shi-fang LIU San-yang ZHAI Ren-he |
| Affiliation: | (School of Computer Science and Technology, Xidian University, Xi' an 710071,China);(School of Science,Xidian University,Xi'an 710071,China);(School of Mechanical Engineering,Shaanxi University of Technology,Hanzhong 723003,China) |
| Abstract: | With respect to multiple attribute decision making ( MADM) problem in which the attribute weights are known completed and the attribute values are intuitionistic trapezoidal fuzzy numbers, a method of grey relational analysis was proposed. Firstly, the definition and distance and nature of intuitionistic trapezoidal fuzzy numbers were given.Then, based on the basic idea of traditional grey relational analysis method, decision making steps of MADM problem with intuitionistic trapezoidal fuzzy numbers were proposed. Finally, an example was given to show the practicality and effectiveness of the developed approach. |
| Keywords: | Grey relational analysis Multiple attribute decision making(MADM) Intuitionistic trapezoidal fuzzy numbers Hamming distance |
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