基于Vague集包含度的模糊多目标决策

中国管理科学 ›› 2004, Vol. ›› Issue (4): 89-93.

基于Vague集包含度的模糊多目标决策

刘华文

山东大学数学与系统科学学院, 山东, 济南, 250100

收稿日期:2003-11-05 修回日期:2004-05-31 出版日期:2004-08-28 发布日期:2012-03-07
基金资助:
山东省自然科学基金资助项目(Y2001G07)

Multi-Criteria Fuzzy Decision Making Based on Inclusion Degree of Vague Sets

LIU Hua-wen

School of Mathematics and System Seiences, Shandong University, Jinan 250100, China

Received:2003-11-05 Revised:2004-05-31 Online:2004-08-28 Published:2012-03-07

摘要/Abstract

摘要： 将Vague集的包含度应用于模糊条件下的多目标决策问题。首先,定义vague集的包含度,利用正常蕴涵算子给出Vague包含度的一系列具体公式,并通过定义Vague集的基数将模糊集的部分包含度公式推广到Vague集。然后给出基于Vague集包含度的模糊多目标决策方法。最后,通过例子阐明方法的有效性。

关键词: 模糊多目标决策, Vague集, 包含度, 正常蕴涵, 基数

Abstract: The concept of inclusion degree of vague sets is applied to multi-criteria decision making in fuzzy environment.First,inclusion degree of vague sets is defined and a series of specific formulas of inclusion degree are presented by means of the norml implication operators.Some formulas of inclusion degree of fuzzy sets are generalized to vague sets by defining the cardinal number of vague sets.Then,we give multi-criteria fuzzy decision-making method based on inclusion degree of vague sets.Finally,we illustrate the effectiveness of the method proposed in this paper by an example.

Key words: multi-criteria fuzzy decision-making, vague sets, inclusion degree, normal implication, cardinal number

中图分类号:

O159
O223

刘华文. 基于Vague集包含度的模糊多目标决策[J]. 中国管理科学, 2004, (4): 89-93.

LIU Hua-wen. Multi-Criteria Fuzzy Decision Making Based on Inclusion Degree of Vague Sets[J]. Chinese Journal of Management Science, 2004, (4): 89-93.

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