基于直觉模糊优选模型的混合型多属性决策

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (12): 2893-2897.

基于直觉模糊优选模型的混合型多属性决策

司艳杰，魏法杰

北京航空航天大学经济管理学院，北京 100191

出版日期:2009-12-24 发布日期:2010-01-03

Hybrid multi-attribute decision making based on the intuitionistic fuzzy optimum selecting model

SI Yan-jie, WEI Fa-jie

School of Economics and Management, Beihang Univ., Beijing 100191

Online:2009-12-24 Published:2010-01-03

摘要/Abstract

摘要：

根据区间值模糊集和直觉模糊集可以互相转化，而且语言变量和标准化后的实数变量也可以用直觉模糊数的形式来表示，将规范化处理后的混合型决策矩阵转化为直觉模糊决策矩阵，并建立了直觉模糊优选模型，从而得出各个方案的直觉模糊评价值。基于直觉模糊点运算引入了一种新的得分函数,对直觉模糊数进行排序。算例结果表明了该决策方法是实用和可行的。

Abstract:

Based on the intervalvalued fuzzy set and intuitionistic fuzzy set are equivalent generalizations of the notion of fuzzy set. Moreover, the linguistic variable and the standardized real number can be described in the form of intuitionistic fuzzy numbers. Firstly, the hybrid decision matrix is standardized and then transformed into an intuitionistic fuzzy decision matrix. Secondly, the intuitionistic fuzzy optimization model is proposed to obtain the comprehensive evaluation value of each alternative, which is represented by intuitionistic fuzzy numbers. Thirdly, based on the point operator of the intuitionistic fuzzy number, a new score function is introduced to rank the alternatives. In the end, a numerical example illustrates the validity and applicability of the proposed method.

司艳杰，魏法杰. 基于直觉模糊优选模型的混合型多属性决策[J]. Journal of Systems Engineering and Electronics, 2009, 31(12): 2893-2897.

SI Yan-jie, WEI Fa-jie. Hybrid multi-attribute decision making based on the intuitionistic fuzzy optimum selecting model[J]. Journal of Systems Engineering and Electronics, 2009, 31(12): 2893-2897.