Q-代数中具有界限的模糊子代数(英文)  

Fuzzy Subalgebras with Thresholds in Q-algebras

作　　者：彭家寅[1] 

机构地区：[1]内江师范学院数学与信息科学学院四川省高等学校数值仿真重点实验室,四川内江641100

出　　处：《内江师范学院学报》2011年第8期1-5,共5页Journal of Neijiang Normal University

基　　金：国家自然科学基金(11071178);四川省教育厅重点实验室专项(2006ZD050)

摘　　要：引入了Q-代数中具有界限的模糊子代数的概念,获得了它的一些相关性质,给出了具有界限的模糊子代数与(∈,∈∨q)-模糊子代数的关系.在Q-代数中,引入了t-蕴含的模糊子代数的概念,讨论了具有界限的模糊子代数与分别基于Gaines-Rescher蕴涵算子、Godel蕴涵算子和Godel蕴涵算子的换质算子的0.5-蕴含的模糊子代数之关系.The concept of a fuzzy subalgebra with thresholds of Q-algebra is introduced, and some related properties are obtained. The relations between a fuzzy subalgebra with thresholds o[ Q-algebra and an（ E, E V q）- fuzzy subalgebra of Q-algebra are provided. The notion of t-implication-based fuzzy subalgebra of Q-algebra is also introduced, and the relations between fuzzy subalgebra with thresholds of Q-algebras and 0.5-implication - based fuzzy subalgebra of Q-algebra based respectively on Gaines-Rescher implication operator, Godel implication operator and the contraposition of Godel implication operator are discussed.

关 键 词：Q-代数 具有界限的模糊子代数 (∈ ∈∨q)-模糊子代数 t-蕴含的模糊子代数 水平子代数 

分 类 号：O159[理学—数学]