格蕴涵代数的Ω-直觉模糊子代数

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英文篇名：The Ω-intuitionistic Fuzzy Subalgebras in the Lattice Implication Algebra 作者：傅小波 ; 廖祖华 ; 张建忠 英文作者：FU Xiao-bo;LIAO Zu-hua;ZHANG Jian-zhong;Wuxi Institute of Technology;School of Science,Jiangnan University; 关键词：格蕴涵代数 ; Ω-直觉模糊集 ; Ω-直觉模糊子代数 英文关键词：The Lattice Implication Algebra;;Ω-intuitionistic Fuzzy Sets;;Ω-intuitionistic Fuzzy Subalgebras 中文刊名：MUTE 英文刊名：Fuzzy Systems and Mathematics 机构：无锡职业技术学院;江南大学理学院; 出版日期：2017-10-15 出版单位：模糊系统与数学 年：2017 期：v.31 基金：国家自然科学基金资助项目(61502204;611702121;11401259);; 江苏省自然科学基金资助项目(BK2015117);; 无锡职业技术学院校级科研课题(4016012931;3116015931) 语种：中文; 页：MUTE201705005 页数：10 CN：05 ISSN：43-1179/O1 分类号：37-46

摘要

在直觉模糊集概念的基础上,给定一个集合Ω,提出了Ω—直觉模糊集的概念。将Ω—直觉模糊集与格蕴涵代数相结合,给出了Ω-直觉模糊子代数的概念,并研究了其相关性质;讨论了Ω一直觉模糊子代数与Ω—模糊子代数之间的关系,得到了一些等价刻画。
        Give a set Ω,the notion of Ω—intuitionistic fuzzy sets is introduced on the basis of the intuitionistic fuzzy sets. By combining the Ω —intuitionistic fuzzy sets and the the lattice implication algebras, the concepts of Ω —intuitionistic fuzzy subalgebras is proposed, and some related properties are investigated. The relationships betweenΩ — intuitionistic fuzzy subalgebras and Ω-fuzzy subalgebras in the lattice implication algebras is also discussed, and then we obtain some equivalent characterizations.

引文

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