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基于模糊否定与生成子的模糊蕴涵及性质 被引量:1

Fuzzy Implication from Fuzzy Negation and Generator and Its Properties
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摘要 首先,提出了一种利用模糊否定和连续单调增函数构建模糊蕴涵的新方法.利用该方法,可以只利用模糊否定构造模糊蕴涵.同时,对所得模糊蕴涵的特性,如左单位元性质、交换原则、序性质等进行了探讨,并获得了一些成果. In this paper,a new way of generating fuzzy implications is introduced,which produces a fuzzy implication from a fuzzy negation and a continuous monotone function.The proposed method can generate a fuzzy implication from a fuzzy negation only.Also,some properties such as the left neutrality property,the exchange principle and the ordering property are studied,and some results are obtained.
作者 彭祖明 PENG Zu-ming(College of Mathematics and Statistics,Yangtze Normal University,Fuling Chongqing 408100,China)
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2020年第2期41-47,共7页 Journal of Southwest University(Natural Science Edition)
基金 重庆市科委自然科学基金项目(cstc2018jcyjAX0540)
关键词 模糊蕴涵 模糊否定 聚合函数 特性 fuzzy implication fuzzy negation aggregation function property
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