摘要
借助半群序和理论,从一族给定的模糊蕴涵出发,定义了一种新的序和,给出了这种序和成为模糊蕴涵的充要条件,研究表明这种新的序和推广并统一了当前2种模糊蕴涵序和的构造方法,最后讨论了这种新序和的若干性质.
With the aid of the ordinal theory of semigroups,starting from the family of fuzzy implications,a novel ordinal sum of fuzzy implications is defined,and the necessary and sufficient conditions of this ordinal sum becoming a fuzzy implication are given,then the current two methods of constructing fuzzy implications using the ordinal theory are generalized and unified. Finally,some properties of the ordinal sum of fuzzy implications are discussed.
作者
杨丽
覃锋
YANG Li;QIN Feng(College of Fundamental Teaching,Nanchang Institute of Science and Technology ,Nanchang Jiangxi 330108,China;College of Mathematics and Informatics, Jiangxi Normal University,Nanchang Jiangxi 330022,China)
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2018年第3期254-259,共6页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(61563020)
江西省自然科学重点基金(20171ACB20010)
南昌工学院科研(NGKJ-17-18)资助项目
关键词
模糊连接词
模糊蕴涵
序和
fuzzy connectives
fuzzy implications
ordinal sum implications
