R0-代数的犹豫模糊子代数和犹豫模糊关联MP滤子  

Hesitant Fuzzy Subalgebras and Hesitant Fuzzy Incident MP Filters of R-algebra

作　　者：姜曼[1] JIANG Man(Xi’an Traffic Engineering Institute,Xi’an 710300,China)

机构地区：[1]西安交通工程学院,陕西西安710300

出　　处：《模糊系统与数学》2020年第5期31-37,共7页Fuzzy Systems and Mathematics

摘　　要：把犹豫模糊集理论应用在R0-代数上,引入了R0-代数的犹豫模糊子代数、犹豫模糊关联MP滤子的概念,给出了R0-代数上犹豫模糊集是犹豫模糊子代数的等价刻画,讨论了R0-代数的犹豫模糊关联MP滤子的若干性质,证明了犹豫模糊子代数(犹豫模糊关联MP滤子)在R0-代数同态(同构)下的不变性。The theory of hesitant fuzzy set is applied to R0-algebra,the concepts of hesitant fuzzy subalgebra and hesitant fuzzy incident MP filter in R0-algebra are introduced.Several equivalent characterizations for hesitant fuzzy sets to be hesitant fuzzy subalgebras are given.Some properties of hesitant fuzzy incident MP filter are discussed.It is proved that hesitant fuzzy subalgebra(hesitant fuzzy incident MP filter)is invariant under R0-algebra homomorphism(isomorphism).

关 键 词：犹豫模糊集 R0-代数 犹豫模糊子代数 犹豫模糊关联MP滤子 

分 类 号：O159[理学—数学]