基于相对优势度的区间直觉模糊多属性决策方法

J4 ›› 2012, Vol. 47 ›› Issue (9): 92-97.

基于相对优势度的区间直觉模糊多属性决策方法

王中兴,唐芝兰,牛利利

广西大学数学与信息科学学院, 广西南宁 530004

收稿日期:2011-07-14 出版日期:2012-09-20 发布日期:2012-09-24
作者简介:王中兴(1962- ),男,教授,研究方向为优化与决策.Email: zxwgx@126.com
基金资助:
国家自然科学基金资助项目(10761001);广西自然科学基金资助项目(0991029)

Multi-criteria fuzzy decision-making method with interval-valued intuitionistic fuzzy sets based on relative superiority

WANG Zhong-xing, TANG Zhi-lan, NIU Li-li

School of Mathematics and Information Science, Guangxi University, Nanning 530004, Guangxi, China

Received:2011-07-14 Online:2012-09-20 Published:2012-09-24

摘要/Abstract

摘要：

基于区间数的相对优势度,提出了区间直觉模糊数的相对优势度概念。通过构建区间直觉模糊数比较的相对优势度矩阵,结合基于互补判断矩阵的排序公式,给出了一种区间直觉模糊数的排序方法,并将此排序方法应用到属性权重未知的区间直觉模糊多属性决策当中。通过算例分析说明了该方法的有效性和可行性。

关键词: 相对优势度;区间直觉模糊数;排序;多属性决策

Abstract:

Based on the relative superiority of interval numbers, the definition of relative superiority of interval-valued intuitionistic fuzzy set (IVIFS) was proposed. And then, a ranking method combined with the priority formula was obtained by establishing a relative superiority matrix of IVIFS. Furthermore, this method was applied to multi-criteria fuzzy decision making with unknown attribute weight information, in which criteria values for alternatives are IVIFSs. And finally, an illustrative example was given to demonstrate the developed method and to show its validation and practicality.

Key words: relative superiority; interval-valued intuitionistic fuzzy set; ranking; multi-criteria decision-making

王中兴,唐芝兰,牛利利. 基于相对优势度的区间直觉模糊多属性决策方法[J]. J4, 2012, 47(9): 92-97.

WANG Zhong-xing, TANG Zhi-lan, NIU Li-li. Multi-criteria fuzzy decision-making method with interval-valued intuitionistic fuzzy sets based on relative superiority[J]. J4, 2012, 47(9): 92-97.

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