决策模糊集覆盖系数的实用计算方法
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引用本文:万 中,梁文冬,卢宗娟.决策模糊集覆盖系数的实用计算方法[J].经济数学,2010,27(4):22-27
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作者单位
万 中,梁文冬,卢宗娟 (中南大学 数学科学与计算技术学院湖南 长沙410083) 
中文摘要:研究了经济学中广泛应用的决策模糊理论中模糊集覆盖系数的性质,并据此提出了无须通过繁杂的统计实验就能够计算覆盖系数的实用方法,进而提出了模糊集交并运算算子. 用两个算例说明了该方法和算子与实际情形相符,具有可行性.
中文关键词:模糊集合  隶属度函数  覆盖系数  交并运算
 
Practical Method for Calculating the Covering Coefficient of Fuzzy Decision Set
Abstract:Fuzzy decision making theory has been applied extensively in many fields of economics. This paper made further investigation on the properties of the covering coefficient between two fuzzy sets. Then, we proposed a method to calculate the covering coefficient without any complex statistical tests. Based on this discussion, new definitions of intersection and union operations of fuzzy sets were presented. Two examples illustrate that the new operations are feasible and realistic.
keywords:fuzzy sets  membership function  covering coefficient  intersection and union operations
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