摘要
以投票模型为例,分析了直觉模糊集向模糊集转化的几种方法,提出了一次函数转化方法.同时,提出以一次函数转化方法中的参数性质作为评价转化方法优劣的标准,并证明了差值修正法满足参数性质,而均值法、比例法和分段比例法均不满足参数性质.然后,给出直觉模糊集向模糊集转化的广义差值修正法,并证明了其满足参数的性质.最后,通过计算实例说明了这些转化方法的优劣.
By taking voting model as an example and analyzing several methods for trans- forming intuitionistic fuzzy sets to fuzzy sets, a linear function transformation method was proposed. Meanwhile, it was presented that the natures of parameter in linear function transformation method were used as standard on evaluating transformation method. It was proved that the difference amend method satisfy the natures of parameter and the mean method, proportion method and subsection proportion method don＇t satisfy the natures. Then, generalized difference amend method for transforming intuitionistic fuzzy sets to fuzzy sets was given and it was proved that generalized difference amend method have the natures of parameter in linear function transformation method. Lastiy, applied examples were used to illustrate feasibility of transformation method.
出处
《数学的实践与认识》
北大核心
2015年第15期292-299,共8页
Mathematics in Practice and Theory
基金
航空科学基金项目(2013ZD55006)
郑州航空工业管理学院青年科研基金(2014113001)
关键词
模糊集
直觉模糊集
一次函数转化方法
Fuzzy sets
intuitionistic fuzzy sets
linear function transformation method
