区间数多属性决策的研究与应用

Hualong Zhao
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引用次数: 1

摘要

随着不确定性理论的发展,模糊多属性决策在越来越多的领域得到了应用。有时,属性值和属性权重以模糊数的形式给出。研究了模糊数以区间数形式给出的模糊多属性决策问题,首先给出了区间数的概念,然后定义了区间数的正理想点和负理想点。本文给出了区间数之间的距离,通过计算各方案与区间数的正、负理想点之间的距离,求出各方案对理想点的接近度,给出了一种模糊多属性决策的新方法,根据接近度对方案进行排序。最后,将该方法应用于新产品开发投资项目的选择,通过实例验证了该方法的有效性和可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Research and Application of Interval Number Multiple Attribute Decision Making
With the development of uncertain theory, fuzzy multi attribute decision making has been applicated in more and more areas. Sometimes, attribute value and attribute weight are given in the form of fuzzy numbers. This paper researches the fuzzy multi attribute decision making in which the fuzzy numbers are given in the form of interval numbers, first, the concept of interval numbers are given, then positive ideal point and negative ideal point of interval numbers are defined. This paper gives the distance between interval numbers, through computing the distance between each alternative and positive, negative ideal point of interval numbers, finds out each alternative’s closeness degree for ideal point, this paper gives a new method for fuzzy multiple attribute decision making, orders the alternatives according to closeness degree. Finally, this method is applicated in investment project chosen for new product development, through the example, the method’s validity and feasibility are verified.
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